Sanling Yuan

Sanling Yuan
University of Shanghai for Science and Technology | USST · Department of Mathematics

PhD

About

142
Publications
19,479
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
2,204
Citations

Publications

Publications (142)
Article
Full-text available
We present a stochastic evolutionary phosphorus–algae–zooplankton model with phosphorus recycling and originally investigate the patterns and outcomes of adaptive changes in algal cell size, under the influence of environmental fluctuations. The threshold that determines whether the stochastic model will ecologically persist or not is first obtaine...
Article
In this paper, we delve into the dynamics of a tree-insect model that considers size structure in trees, aiming to explore the effect of the maturity size at which the saplings are just coming into adulthood on the insect population in forests. By making full use of mathematical techniques and an ingenious variable transformation, we convert the mo...
Article
Disturbances related to extreme weather events, such as hurricanes, heavy precipitation events, and droughts, are important drivers of evolution processes of a shallow lake ecosystem. A non-Gaussian [Formula: see text]-stable Lévy process is esteemed to be the most suitable model to describe such extreme events. This paper incorporates extreme weat...
Article
Full-text available
Information and understanding of fishing activities at sea is important to fisheries 1 science, public authorities and policy-makers. To understand the spatial-temporal distribution 2 characteristics of squid-jigging vessels and how the marine environment affects the distribution of 3 squid-jigging vessels in the North Pacific Ocean, operation beha...
Article
Phosphate (P i) and temperature are two important environmental factors affecting algal growth and the occurrence of red tide. In this paper, we conduct experiments on Karenia mikimotoi under different P i concentrations and temperatures and propose a novel P i uptake model by incorporating Arrhenius function and P i-stress function into the two-st...
Article
Full-text available
In this paper, we delve into the Hopf bifurcation of a novel high-dimensional delayed fractional neural network model with bicyclic structure sharing a node. Under some mild assumptions, the developed model is equivalently transformed into a system with two delays representing respectively the sum of delays in each ring. By applying the formula of...
Article
Full-text available
It is widely accepted that epidemics in biological populations and stochasticity in the environments are two important components significantly influencing the real ecosystems. To more accurately reveal developmental changes of the population dynamics and explore effective control methods for infectious disease, in this paper, we first construct a...
Article
Full-text available
Spatial memory and predator-induced fear have recently been considered in modeling population dynamics of animals independently. This paper is the first to integrate both aspects in a prey-predator model with pregnancy cycle to investigate the direct and indirect effects of predation on the spatial distribution of prey. We extensively study Turing...
Article
Full-text available
In this paper, we propose a stochastic SIHR epidemic model of COVID-19. A basic reproduction number $ R_{0}^{s} $ is defined to determine the extinction or persistence of the disease. If $ R_{0}^{s} < 1 $, the disease will be extinct. If $ R_{0}^{s} > 1 $, the disease will be strongly stochastically permanent. Based on realistic parameters of COVID...
Article
To get a better understanding how virus evolution influences on the disease spread, in this paper, we develop a nested immune-epidemiological model with superinfection. The interaction between virokins of within exposed host is described by an ordinary differential equation model. For this within host model, besides the infect-free equilibrium, the...
Article
Full-text available
In this paper, we consider the effects of environmental perturbations such as the variations of temperature and climate on the growth of water hyacinth and fish species, as well as the economic and application values of these two species. We first present a triangular fuzzy water hyacinth-fish ecological model with Kuznets curve effect and linear h...
Article
Full-text available
As the most diverse, productive but vulnerable marine habitats in the world, coral reefs are easily affected by the ubiquitous environmental fluctuations, which could change the population dynamics and induce phase shifts of the ecosystem. In this paper, we consider a coral reef benthic system, where macroalgae, corals and algal turfs compete for t...
Article
Full-text available
COVID-19 is a disease caused by infection with the virus 2019-nCoV, a single-stranded RNA virus. During the infection and transmission processes, the virus evolves and mutates rapidly, though the disease has been quickly controlled in Wuhan by ‘Fangcang’ hospitals. To model the virulence evolution, in this paper, we formulate a new age structured e...
Article
In this paper, we formulate a stage-structured predator-prey model with Holling-I and Crowley-Martin functional responses in deterministic and stochastic environments, where Holling-I and Crowley-Martin functional responses conform respectively to predator feeds on juvenile and adult prey. In the deterministic case, by discussing the existence and...
Article
In this paper, we formulate a new-age structured heroin transmission model with respect to the age of vaccination which structures the vaccine wanes rate [Formula: see text] and infection ratio of vaccination individuals [Formula: see text]. The well-posedness and the basic reproduction number [Formula: see text] of our model are first presented. I...
Article
In this paper, we propose a turbidostat model with delay interval on its output using a feedback control law, aiming to investigate how the delay interval affects the feedback control of the model. The delay interval is represented by two parameters, which describe the time delay distributed in a past sub-interval. We first prove the positivity and...
Article
Microrisk Lab is an R-based online modeling freeware designed to realize parameter estimation and model simulation in predictive microbiology. A total of 36 peer-reviewed models were integrated for parameter estimation (including primary models of bacterial growth/inactivation under static and nonisothermal conditions, secondary models of specific...
Article
Full-text available
In this paper, we propose and analyze a predator–prey system incorporating a new type of functional response function accounting for both the herd behavior for prey and the schooling behavior for predator. In the absence of spatial diffusion and time delay, we prove the existence of extinction region and the stability of all feasible nonnegative eq...
Article
Full-text available
The Western and Central Pacific Oceans are the primary operational areas of tuna purse seiners worldwide. Describing and analysing the fishing behaviour of vessels is highly significant for the protection of sustainable tuna resources. This study uses Automatic Identification System (AIS) data of 130 tuna purse seiners from July 2017 to May 2018 an...
Article
Please cite this article as: J. Yang and S. Yuan, Dynamics of a toxic producing phytoplankton-zooplankton model with three-dimensional patch, Applied Mathematics Letters (2021), doi: https://doi. Abstract In this paper, we perform a further dynamic analysis for a toxic-producing phytoplankton-zooplankton model proposed by Chattopadhyay et al. [1],...
Article
The reproduction of the green sea turtles is characterized by the temperature dependent sex determination (TSD). Green sea turtle eggs are laid asexually. Temperature during hatching determines the sex of baby green sea turtles. In order to study the population dynamics of the green sea turtles and understand the dynamics of the sex ratio, in this...
Article
Incorporating the environmental perturbations and available resources of the public health system, we construct both deterministic and stochastic models of SIRS type. The deterministic model exhibits very rich dynamics, such as Hopf bifurcation and backward bifurcation which leads to the co-existence of the stable disease-free state and a stable en...
Article
Based on the fact that the continuous culture of microorganisms in a chemostat is subject to environmental noises, we present and analyze a stochastic competition chemostat model with general monotonic response functions and differential removal rates. The existence and boundedness of the unique positive solution are first obtained. By defining a s...
Article
Interplay between predator and prey is a complex process in ecosystems due to its nature. The population dynamics can be affected by many extrinsic and intrinsic factors. In this paper, we make an attempt to uncover the effects from environmental disturbances when populations are subject to habitat complexity and aggregation effect. We firstly prop...
Article
Full-text available
We investigate a non-smooth stochastic epidemic model with consideration of the alerts from media and social network. Environmental uncertainty and political bias are the stochastic drivers in our mathematical model. We aim at the interfere measures assuming that a disease has already invaded into a population. Fundamental findings include that the...
Article
Full-text available
In this paper, we propose and investigate a stochastic Holling type-II predator-prey model with prey refuge and fear effect. We first prove the existence and uniqueness of the global positive solution. Then we perform the survival analysis of the model, including the existence of a unique ergodic stationary distribution and the extinction of the mo...
Article
This paper presents an investigation on the dynamics of a delayed diffusive competition model with saturation effect. We first perform the stability analysis of the positive equilibrium and the existence of Hopf bifurcations. It is shown that the positive equilibrium is asymptotically stable under some conditions, and that there exists a critical v...
Article
Listeria monocytogenes inactivation in cooked beef during unsteady heating. This study was aimed at predicting the inactivation of Listeria monocytogenes in cooked beef during unsteady heating. A one‐step approach was firstly applied to determine the thermodynamic coefficient of the beef sample. Then, inactivation kinetics was estimated by construc...
Article
Full-text available
Using the technique of edge-based compartmental modelling (EBCM) for the spread of susceptible-infected-recovered (SIR) diseases in networks, in a recent paper (PloS One, 8(2013), e69162), Miller and Volz established an SIR disease network model with heterogeneous infectiousness and susceptibility. The authors provided a numerical example to demons...
Article
A stochastic population model with the mixed harvesting strategy is formulated and studied in this paper. Sufficient and necessary conditions for survival of the species are derived firstly. Then, based on the ergodic stationary distribution, the optimal strategy is identified. Results show that the linear harvesting effort threatens to the surviva...
Article
In this paper, we propose a diffusive predator–prey model with herd behavior in prey and pack predation behavior in predator under the homogeneous Neumann boundary condition. Due to the pack predation-herd behavior, the predator–prey interaction occurs only at the outer edge of each group. First, we analyze the existence and local stability of the...
Article
We consider a Richards growth model (modified logistic model) driven by correlated multiplicative and additive colored noises, and investigate the effects of noises on the eventual distribution of population size with the help of steady-state analysis. An approximative Fokker–Planck equation is first derived for the stochastic model. By performing...
Article
Full-text available
Stoichiometric producer–grazer models are nonsmooth due to the Liebig’s Law of Minimum and can generate new dynamics such as bistability for producer–grazer interactions. Environmental noises can be extremely important and change dynamical behaviors of a stoichiometric producer–grazer model. In this paper, we consider a stochastically forced produc...
Article
In this paper, a stochastic chemostat model with two distributed delays and nonlinear perturbation is proposed. We first transform the sto-chastic model into an equivalent high-dimensional system. Then we prove the existence and uniqueness of global positive solution of the model. Based on Khasminskii's theory, we study the existence of a stationar...
Article
Harmful algal blooms (HABs) have been increasing and spreading along the coast of China, causing great negative economic and healthy impacts in the past two decades. Our aim of this paper is to investigate how nutrient availability, light intensity and environmental fluctuations influence algal dynamics, and provide practical ways to inhibit algal...
Article
By considering the hunting cooperations, we propose a diffusive predator-prey model, in which the function response is an increasing function in both predator and prey densities. We then study the pattern structure: (a) Turing space in d 21 − α plane is obtained by linear stability analysis, (b) the technique of multiple-timescale is used to derive...
Article
This paper mainly focuses on studying the noise-induced bifurcation in the stochastic chemostat model with general nutrient uptake functions. The dynamic behavior of the chemostat is classified by using the Feller test method, and the stationary distribution is obtained in a closed form. Based on the stationary distribution, we show that the soluti...
Article
Available online xxxx MSC: 34F05 92B05 37H10 60J70 Keywords: Stochastic nutrient-plankton model Stationary distribution Stochastic periodic solution Regime switching a b s t r a c t To investigate the effects of stochasticity and seasonality on the dynamics of aquatic ecosystems, in this paper, we propose two stochastic nutrient-plankton food chain...
Article
Full-text available
This paper formulates and studies a delayed chemostat with Lévy noises. Existence of the globally positive solution is proved first by establishing suitable Lyapunov functions, and a further result on exact Lyapunov exponent shows the growth of the total concentration in the chemostat. Then, we prove existence of the uniquely ergodic stationary dis...
Article
Competitive behavior, like predation, widely exists in the world which has influences on the dynamics of ecosystems. Though a good knowledge for the patten formation and selection of predator–prey models with diffusion is known in the literature, little is known for that of a diffused competition model. As a result, a competition model with saturat...
Article
Full-text available
This paper formulates a stochastic SIR epidemic model by supposing that the infection force is perturbed by Brown motion and Lévy jumps. The globally positive and bounded solution is proved firstly by constructing the suitable Lyapunov function. Then, a stochastic basic reproduction number R L 0 is derived, which is less than that for the determini...
Article
In this paper, the Turing pattern formation in a diffusive toxin producing phytoplankton–zooplankton model with three-dimensional patch is investigated. Firstly, the conditions for the existence of Hopf bifurcation and stationary pattern are obtained based on the linear stability analysis. Then, the amplitude equations are derived by using nonlinea...
Article
Full-text available
Huang et al. [1] recently developed a toxin-dependent predator-prey model and analyzedits global dynamics. Their results showed that environmental toxins may influence both predators andprey and induce bistable situation, and intermediate toxin concentrations may affect predators dispro-portionately through biomagnification. Environmental noises ca...
Article
To theoretically address the effects of random environmental change on the growth of plankton, we propose a stochastic phytoplankton–zooplankton model with toxin-producing phytoplankton and Markov switching in an impulsive polluted environment. We then analyse the extinction and persistence in mean, including weak persistence and non- persistence....
Article
Full-text available
Using the discrete Markov chain, in this paper we develop a stochastic model for algal bloom, in which white noise terms are introduced to describe the effects of environmental random fluctuations and time delay to account for the time needed in the conversion of detritus into nutrient. For the proposed model, we firstly discuss the well-posedness,...
Article
Full-text available
With the increasing demand for aquatic products all over the world, exploring the interactions between inshore and offshore fisheries is one of the meaningful issues to help boost yield and meet immediate protein needs. However, pollution and environmental fluctuations (fishery trading market, ocean meteorological factors) may seriously affect the...
Article
This paper studies the asymptotic behaviors of one classical chemostat model in a stochastic environment. Based on the Feller property, sharp conditions are derived for the existence of a stationary distribution by using the mutually exclusive possibilities known in [11, 12] (See Lemma 2.4 for details), which closes the gap left by the Lyapunov fun...
Article
Full-text available
An important characteristic of influenza A is its ability to escape host immunity through antigenic drift. A novel influenza A strain that causes a pandemic confers full immunity to infected individuals. Yet when the pandemic strain drifts, these individuals will have decreased immunity to drifted strains in the following seasonal epidemics. We com...
Article
Full-text available
To understand roles of fuzzy biological parameters, in this paper, we propose a fuzzy predator–prey harvesting model that incorporates both the effects of prey refuge and predator mutual interference. Using the triangular fuzzy numbers for the imprecise parameters, we first study the existence of the feasible equilibria and their global stability a...
Article
In this paper, we aim to investigate the effect of telegraph noise on the continuous culture of microorganism in a chemostat. With the help of a finite-state Markov chain, we first construct a regime-switching chemostat model and then establish conditions for extinction and persistence of the microorganism. It is shown that the particular outcome o...
Article
Full-text available
In this paper, a stochastic susceptible-infected-susceptible (SIS) epidemic model with periodic coefficients is formulated. Under the assumption that the total population is fixed by N, an analogue of the threshold R0T is identified. If R0T>1, the model is proved to admit at least one random periodic solution which is nontrivial and located in (0 ,...
Article
Full-text available
Toxin-producing phytoplankton (TPP) and environmental fluctuations are important factors influencing the real aquatic ecosystems. Whether planktonic blooms are related to these factors is an interesting problem. In this paper, based on bottom-up mechanism, we first propose a nutrient–phytoplankton (NP) model with TPP under environmental fluctuation...
Article
Allee effect can interact with environment stochasticity and is active when population numbers are small. Our goal of this paper is to investigate such effect on population dynamics. More precisely, we develop and investigate a stochastic single species model with Allee effect under regime switching. We first prove the existence of global positive...
Article
Sexually transmitted diseases, which are infections through sexual contact, pose severe public health threat nowadays. In this paper, we develop a novel model for such diseases on a bipartite random contact network. Our model is precise with arbitrary initial conditions, which makes it suitable to study preventative vaccination strategies. We deriv...
Article
In this paper, a stochastic SEIS epidemic model with a saturation incidence rate and a time delay describing the latent period of the disease is investigated. The model inherits the endemic steady state from its corresponding deterministic counterpart. We first show the existence and uniqueness of the global positive solution of the model. Then, by...
Article
Full-text available
Tuberculosis (TB), an airborne infectious disease, is a major public-health problem in China. The reported number of the active tuberculosis cases is about one million each year. The morbidity data for 2005-2012 reflect that the difference in morbidity based on age group is significant, thus the role of age-structure on the transmission of TB needs...
Article
As well known that the sudden environmental shocks and toxicant can affect the population dynamics of fish species, a mechanistic understanding of how sudden environmental change and toxicant influence the optimal harvesting policy requires development. This paper presents the optimal harvesting of a stochastic two-species competitive model with Lé...
Article
Full-text available
In this paper, we propose and investigate an age-structured hepatitis B virus (HBV) model with saturating incidence and spatial diffusion where the viral contamination process is described by the age-since-infection. We first analyze the well-posedness of the initial-boundary values problem of the model in the bounded domain Ω ⊂ R n and obtain an e...
Article
Full-text available
In this paper, we investigate the dynamics of a delayed logistic model with both impulsive and stochastic perturbations. The impulse is introduced at fixed moments and the stochastic perturbation is of white noise type which is assumed to be proportional to the population density. We start with the existence and uniqueness of the positive solution...
Article
Full-text available
This paper concerns the dynamics of a stochastic SIVR epidemic model with imperfect vaccine where, differently from the epidemic model with perfect vaccine, the vaccinated is perturbed by the noise. This difference is the main difficulty to be conquered to give the threshold R S 0. Firstly, R S 0 > 1 is proved to be sufficient for persistence in me...
Article
In this paper, we concern a class of the generalized delayed stochastic predator-prey models with feedback controls based on discrete observations. The existence of global positive solution is given first. Then we discuss the deterministic model briefly, and establish the necessary conditions and the sufficient conditions for almost-sure extinction...
Article
This paper formulates a single-species stochastic chemostat model with periodic coefficients due to seasonal fluctuation. When the noise is small, a modified break-even concentration is identified, whose value below or above the averaged concentration of the input nutrient can completely determine whether the microorganism will persist or not, wher...
Article
Full-text available
The spread of an infectious disease may depend on the population size. For simplicity, classic epidemic models assume homogeneous mixing, usually standard incidence or mass action. For standard incidence, the contact rate between any pair of individuals is inversely proportional to the population size, and so the basic reproduction number (and thus...
Article
Full-text available
A stochastic model of turbidostat in which two microorganism species compete for an inhibitory growth-limiting nutrient is considered. In the deterministic case, the model has rich dynamics: a coexistence equilibrium and the washout equilibrium can be simultaneously stable, and a stable limit cycle may exist. In the stochastic case, a phenomenon of...
Article
Phytoplankton allelopathy is an ecological phenomenon that concerns the interaction among toxic-producing phytoplankton. Recently, researchers pay great attention to whether the cyclic outbreaks of the harmful algal blooms are related with the allelopathy in a random fluctuating environment. In this paper, we are particularly interested in a non-au...
Article
Recently, Venturino and Petrovskii proposed a general predator-prey model with group defence for prey species Venturino and Petrovskii (2013). The local dynamics had been studied and showed that the model might undergo Hopf bifurcation, and have an extinction domain. In this paper, we dedicate ourselves to the investigation of the global dynamics o...
Article
An infection-age virus dynamics model for human immunodeficiency virus (or hepatitis B virus) infections with saturation effects of infection rate and immune response is investigated in this paper. It is shown that the global dynamics of the model is completely determined by two critical values R0, the basic reproductive number for viral infection,...
Article
This paper investigates the stochastic Leslie–Gower predator–prey system with randomized intrinsic growth rate. Existence of a unique global positive solution is proved firstly. Then we obtain the sufficient conditions for permanence in mean and almost sure extinction of the system. Furthermore, the stationary distribution is derived based on the p...
Article
In this paper, the dynamics of a stochastic model for algal bloom with nutrient recycling is investigated. The model incorporates a white noise term in the growth equation of algae population to describe the effects of random fluctuations in the environment, and a nutrient recycling term in the nutrient equation to account for the conversion of det...
Article
In this paper, the dynamics of a stochastic SIS model with Lévy jumps are investigated. We first prove that this model has a unique global positive solution starting from the positive initial value. Then, taking the accumulated jump size into account, we find a threshold of the model, denoted by which completely determines the extinction and preval...
Article
Lévy noise, accounting for sudden catastrophic shocks, exists widely in the natural world. However, the effect of Lévy noise on the survival of a population is not well understood. In this paper, we develop and investigate a stochastic competitive model of two species with Lévy noise in an impulsive polluted environment. The threshold between weak...
Article
The effect of toxin-producing phytoplankton and environmental stochasticity are interesting problems in marine plankton ecology. In this paper, we develop and analyze a stochastic phytoplankton allelopathy model, which takes both white and colored noises into account. We first prove the existence of the global positive solution of the model. And th...
Article
This paper deals with the problem of a single-species stochastic chemostat model in which the maximal growth rate is influenced by the white noise in environment. When the noise is small, we obtain an analogue, , of the break-even concentration ( ) of the corresponding deterministic model, which completely determines the persistence or extinction o...
Article
A delayed diffusive predator-prey model with herd behavior subject to Neumann boundary conditions is studied both theoretically and numerically. Applying Hopf bifurcation analysis, we obtain the critical conditions under which the model generates spatially nonhomogeneous bifurcating periodic solutions. It is shown that the spatially homogeneous Hop...
Article
In this paper, the strictly critical parameter λ~ is identified as the break-even concentration for the stochastic chemostat model. λ~>S° suffices for extinction of the microorganism for any noise intensity σ2>0 is proved firstly, which completely solves the open problem proposed in [10]. Then, by using the Feller test, we show that the microorgani...