Mini Ghosh

Mini Ghosh
VIT University, Chennai Campus, Chennai-600127

Ph.D.

About

78
Publications
13,406
Reads
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1,178
Citations
Citations since 2017
36 Research Items
782 Citations
2017201820192020202120222023050100150200
2017201820192020202120222023050100150200
2017201820192020202120222023050100150200
2017201820192020202120222023050100150200
Introduction
Additional affiliations
July 2007 - January 2011
Thapar University
Position
  • Professor (Assistant)

Publications

Publications (78)
Article
Full-text available
In this work, we proposed a simple SEIHR compartmental model to study and analyse the third wave of COVID-19 in India. In addition to the other features of the disease, we also consider the reinfection of recovered individuals in the model. For the purpose of parameter estimation we separate the infective and deaths classes and plot them against th...
Article
Full-text available
Study of dynamics of COVID-19 and its co-infection with other diseases through mathematical models is the major focus of recent advancement in mathematical modeling of infectious diseases. There are numerous mathematical models on COVID-19 which describe its dynamics for different geographic regions. However, there are very few research papers deal...
Article
Full-text available
A pandemic is an epidemic spread over a huge geographical area. COVID-19 is 5 th such pandemic documented after 1918 flu pandemic. In this work, we frame a mathematical epidemic model taking inspiration from the classic SIR model and develop a compartmental model with ten compartments to study the coronavirus dynamics in India and three of its m...
Article
COVID-19 had been declared a public health emergency by the World Health Organization in the early 2020. Since then, this deadly virus has claimed millions of lives worldwide. Amidst its chaotic spread, several other diseases have faced negligence in terms of treatment and care, of which one such chronic disease is Tuberculosis. Due to huge rise in...
Article
This study presents a mathematical model for dengue transmission which quantifies two very important aspects: one, the impact of information-based behavioural response, and the other, the segregation of infected human population into two subclasses, ‘detected’ and ‘undetected’. For the proposed model, the sensitivity analysis is conducted to identi...
Article
Full-text available
Article
The pandemic started in the late 2019 and is still waving in claiming millions of lives with virus being mutated to deadlier form. This pandemic has caught attention toward interventions like improved detection of the infected, better quarantine facilities and adequate medical facilities in terms of hospital beds and other medical aid. In this stud...
Article
Full-text available
Plants are essential for the survival of human beings. Plants can be subjected to diseases. Plant diseases are caused by pathogens such as fungi, bacteria and viruses. Most of these pathogens are transmitted by insect vectors. In this paper we formulate and analyze a delay differential equation model for plant disease by incorporating the incubatio...
Article
Full-text available
In this paper, a non-linear mathematical model is formulated and analyzed to understand the dynamics of plant disease in presence of predators. Here predators act as biological control agent that reduce the vectors carrying the disease pathogen. The mathematical model is formulated using system of delay differential equations by considering two del...
Article
India, unlike several other countries, has witnessed a greater challenge in overcoming the pandemic during the second wave crisis. The strategies on lockdown imposition during the first wave of the pandemic were well implemented due to which the year-long wave did not witness uncontrollable surges in the infections. In this study, we present a deta...
Article
Full-text available
Coronavirus disease 2019 (COVID‐19) is a viral disease which is declared as a pandemic by WHO. This disease is posing a global threat, and almost every country in the world is now affected by this disease. Currently, there is no vaccine for this disease, and because of this, containing COVID‐19 is not an easy task. It is noticed that elderly people...
Article
Schistosomiasis is a snail-borne parasitic disease, which is affecting almost 240 million people worldwide. The number of humans affected by schistosomiasis is continuously increasing with the rise in the use of agrochemicals. In this paper, a mathematical model is formulated and analyzed to assess the effect of agrochemicals on the transmission of...
Article
COVID-19 has become a deadly pandemic in the recent times claiming mil- lions of lives worldwide in a grievous manner. Most of the countries in the world have limited number of medical resources (Hospitals, beds, ventilators etc.) and in the case large outbreak it becomes very difficult to provide treatment to every infected individual. In this stu...
Article
Tuberculosis (TB) is a contagious disease which can cause death. In this paper, a non-linear model is proposed and analyzed by assuming reduction in transmission due to case detection. The dampening in the transmission term is modelled as Holling type II function. Additionally, impact of media is incorporated by including an exponential decay facto...
Article
Malaria is a life-threatening mosquito-borne disease. It is transmitted through the bite of an infected Anopheles mosquito. Malaria may be fatal if not treated promptly.Malaria is a major public health in India. In India, 75% of the total number of malaria cases in Southeast Asia, and 6% of total world malaria cases. Half of population was at risk...
Article
Full-text available
Crime and corruptions are two major problems in developing nations. They spread like infectious disease in the population. Here, a nonlinear mathematical model is formulated and analyzed to study the interaction between criminal population and non-criminal population by considering non-monotone incidence rate. Non-monotone incidence rate shows a be...
Article
In this paper, we propose a mathematical model to assess the impacts of using face masks, hospitalization of symptomatic individuals and quarantine of asymptomatic individuals in combating the COVID-19 pandemic in India. We calibrate the proposed model to fit the four data sets, viz. data for the states of Maharashtra, Delhi, Tamil Nadu and overall...
Article
In the global platform of emerging infectious diseases, dengue fever added a serious health concern, especially in the tropical and subtropical countries with poor health services. Due to unavailability of proper vaccination, primary prevention of dengue is possible at social and personal levels by controlling the propagation of vectors as well as...
Chapter
Tobacco smoking is a social problem. It is a well-established fact that the smoking of tobacco products can cause severe health problems. It is also observed that the smokers are having higher risk of getting tuberculosis infection than the non-smokers. In this article a non-linear mathematical model is proposed and analyzed to demonstrate the impa...
Chapter
In this article, an age structured SVEIR epidemic model for TB is formulated and analyzed by considering three types of ages e.g., latent age, infection age and vaccination age. The presented model also incorporates the environmental transmission of TB. The dynamics of the disease is governed by a system of differential-integral equations. We assum...
Article
Recurrent malaria constitutes one of the greatest setbacks to the realization of malaria disease elimination from the population. In this paper, a deterministic model governed by a system of nonlinear differential equations is developed to assess the effects of recurrent malaria –reinfection and relapse on the transmission dynamics of the disease....
Article
Oncolytic virotherapy is emerging as a promising new method for cancer treatment. In the present study, we propose and analyze a mathematical model for treatment of cancer by using oncolytic virotherapy. Here, it is assumed that the growth of tumor cells follows logistic growth and the interaction between tumor cells and viruses is of saturation ty...
Article
Introduction: This article discusses the problem of plant diseases that pose major threat to agriculture in several parts of the World. Herein, our focus is on viruses that are transmitted from one plant to another by insect vectors. We consider predators that prey on insect population leading to reduction in infection transmission of plant disease...
Article
Dengue is one of the most widely spread mosquito-borne viral diseases which is transmit- ted by mosquitoes of Aedes species. It is endemic in all states and union territories (UTs) of India. Dengue virus is one of the major cause of illness and death in the tropical and subtropical regions. There is no vaccine available which can prevent infection...
Article
Crime is a social epidemic. The spread of crime in a population is very much dependent on the social structure of the society. Although there are several factors which influence the dynamics of the spread of crime in a society, it is an established fact that crime spreads in a society like an infectious disease. Here, a nonlinear mathematical model...
Article
Full-text available
Zika virus disease is a mosquito-borne disease which is mainly transmitted by the female Aedes mosquitoes. Initially, since the 1950, the Zika virus disease (or Zika fever) was known to occur only in a narrow equatorial belt from Africa to Asia but from 2007 to 2016, the virus spread eastward (i.e. across the Pacific Ocean to the Americas) and that...
Article
This paper presents the formulation and analysis of a mathematical model for Jatropha curcas plantation with a view to control its natural pests using application of integrated pesticides. Bio-pesticides are costly, require a long term process and expensive to impose. But if chemical pesticides are introduced in the farming system along with bio-pe...
Article
Virotherapy is an effective strategy in cancer treatment. It eliminates tumor cells without harming the healthy cells. In this article, a deterministic mathematical model to understand the dynamics of tumor cells in response to virotherapy is formulated and analyzed by incorporating cytotoxic T lymphocytes (CTLs). The basic reproduction number and...
Article
Zika virus epidemic poses a major threat to public health globally. Initially, this disease was limited to Africa but now it is spreading throughout the World. It is well known that zika virus is transmitted to human by the bites of Aedes mosquitoes. Recently, there are reported cases of sexual transmission and transmission due to blood transfusion...
Article
Full-text available
The Zika virus was first discovered in a rhesus monkey in the Zika Forest of Uganda in 1947, and it was isolated from humans in Nigeria in 1952. Zika virus disease is primarily a mosquito-borne disease, which is transmitted to human primarily through the bite of an infected Aedes species mosquito. However, there is documented evidence of sexual tra...
Article
Here a simple mathematical model for HIV/AIDS with standard incidence is formulated and analyzed. It is assumed that only a fraction of total HIV and AIDS infected are detected. So only this fraction of infectives are subjected to proper counseling and are not taking part in the hetero-sexual transmission of HIV/AIDS. The model is first analyzed by...
Article
The problem of corruption is of serious concern in all the nations, more so in the developing countries. This paper presents the formulation of a corruption control model and its analysis using the theory of differential equations. We found the equilibria of the model and stability of these equilibria are discussed in detail. The threshold quantity...
Article
The avian influenza A (H7N9) virus is one subtype of influenza viruses, which has previously been isolated only in birds. Recently, an outbreak of a new avian influenza (H7N9) in China has resulted in numerous infections and high mortality in the humans. The H7N9 virus is low pathogenic in poultry and high pathogenic in human and that is critically...
Chapter
This work presents a non-linear mathematical model to study the transmission dynamics of ‘Human Immunodeficiency Virus (HIV)’ and ‘Tubercle Bacillus (TB)’ co-infection incorporating the effect of screening of both the HIV and TB infected individuals. The basic reproduction numbers corresponding to both the HIV and TB are obtained and it is shown th...
Research
Avian influenza is an infectious disease primarily observed in birds. Most of the Avian influenza viruses do not cause infection in human but recently some of the strains of Avian influenza (e.g. H5N1 and H7N9) have caused infections in human. This disease is easily transmitted among birds (Chicken, Turkeys etc.). Transmission of this disease is al...
Article
Full-text available
Swine flu is an infectious disease which spreads very rapidly in the population. Infected droplets are expelled into the air by swine flu infected individuals through coughing and sneezing. This disease is transmitted to susceptible individuals by inhalation or ingestion of these infected droplets containing virus. In this paper, we propose and ana...
Article
Full-text available
The growing number of reported avian influenza cases has prompted awareness of the importance of research methods to control the spread of the disease. Seasonal variation is one of the important factors that affect the spread of avian influenza. This paper presents a “nonautonomous” model to analyze the transmission dynamics of avian influenza with...
Article
Full-text available
Prevention is better than the cure, more so for incurable infectious diseases. The awareness, screening of infectives and counseling can help in devising suitable preventive policies for controlling the incurable infectious diseases. This paper proposes a nonlinear mathematical model to study the effect of awareness, screening of infectives and cou...
Article
This paper presents a nonlinear mathematical model of prey-predator interaction in which the prey is infected by an infectious disease while assuming that the disease is not transmitted to predator though the rates of predation can be different for the susceptible and infected preys. We also assume that only susceptible prey population contributes...
Article
This paper presents a nonlinear mathematical model of prey-predator interaction in which the prey is infected by an infectious disease while assuming that the disease is not transmitted to predator though the rates of predation can be different for the susceptible and infected preys. We also assume that only susceptible prey population contributes...
Article
In this paper, a deterministic non-linear SEIHR type epidemic model for the transmission dynamics of Influenza A (H1N1) is proposed and analyzed. The existence and stability of different equilibria of this model are discussed in detail. The basic reproduction number R 0 of the model is computed, and it is found that for R 0 < 1, the disease free eq...
Article
It is well known that the treatment is an effective way to control the transmission of an infectious disease and any delay in treatment can lead to many new infections. Hence, it is important to identify the infectives at early stages and to provide proper treatment. Since the disease TB has a long latent period, the early case detection of TB play...
Article
Full-text available
This paper presents a nonlinear mathematical model to study the transmission dynamics of HIV-TB co-infection. The basic reproduction numbers corresponding to both the HIV and TB are computed and it is shown that the disease free equilibrium is stable only when both the reproduction numbers are less than one. The existence and stability of TB-only a...
Article
This paper presents a simple non-linear mathematical model to study the transmission dynamics of HIV/AIDS by incorporating the case detection and treatment. The model is first analyzed by assuming that only certain constant fractions of total HIV and total AIDS infectives are detected. The existence and stability of different equilibria of this mod...
Article
This paper presents a non-linear mathematical model of malaria by considering the human reservoir and larvivorous fishes. The different equilibria of the model are computed and stability of these equilibria is investigated in-detail. Also, the basic reproduction number R0 of the model is computed and we observe that the model exhibits backward bifu...
Article
Full-text available
The transmission of 'Human Immunodeficiency Virus (HIV)' that causes the 'Acquired Immunodeficiency Syndrome (AIDS)' is strongly associated with un-protected sex and at the present understanding this epidemic can reach higher prevalence threshold level when there are extensive sexual contacts between the sex workers and general population. In the p...
Article
The aim of this paper is to investigate and analyze the transmission dynamics of infectious diseases in human population. We have formulated a non-linear SIRS model to study the role of awareness programs by mass-media in reducing the transmission of infectious diseases. The analysis shows that the awareness by mass-media plays a constructive role...
Article
This paper presents a nonlinear sex-structured mathematical model to study the spread of HIV/AIDS by considering transmission of disease by heterosexual contact. The epidemic threshold and equilibria for the model are determined, local stability and global stability of both the "Disease-Free Equilibrium" (DFE) and "Endemic Equilibrium" (EE) are dis...
Article
This paper proposes and analyzes an SIRS model for malaria in endemic region by incorporating the effect of human reservoir population who are immune to this disease but carry gametocytes in their blood that infect the mosquitoes biting them. It is assumed that household discharges are conducive to the growth of the mosquito population. The model i...
Article
Full-text available
In this paper, we present a deterministic non-linear mathematical model for the transmission dynamics of HIV and TB co-infection and analyze it in the presence of screening and treatment. The equilibria of the model are computed and stability of these equilibria is discussed. The basic reproduction numbers corresponding to both HIV and TB are found...
Article
This paper proposes a Susceptible-Infective-Susceptible (SIS)model to study the malaria transmission with treatment by considering logistic growth of mosquito population. In this work, it is assumed that the treatment rate is proportional to the number of infectives below the capacity and is constant when the number of infectives is greater than th...
Article
In this paper a non-linear mathematical model of tuberculosis with case detection and treatment is proposed and analyzed. The whole population under consideration is divided into four compartments e.g. susceptible, exposed, infected and Recovered to study the transmission dynamics of the tuberculosis. Based on the immunity level, susceptible indivi...
Article
This paper presents a mathematical model to evaluate the impact of the larval control method of biological control of malaria in an endemic area by considering both human and mosquitoes populations variable. The different equilibria of the model are found and stability of these equilibria are discussed in-detail. Also, the presented model exhibits...
Article
Full-text available
A dengue disease epidemic model with nonlinear incidence is formulated and analyzed. The equilibria and threshold of the model are found. The stability of the system is analyzed through a geometric approach to stability. The proposed model also exhibits backward bifurcation under suitable conditions on parameters. Our results imply that a nonlinear...
Article
In this paper, some nonlinear mathematical models are proposed and analyzed to study the spread of asthma due to inhaled pollutants from Industry. The following two types of demographics are considered here; (i) population with constant immigration, (ii) population with logistic growth. In each type of demography, the following three cases have bee...
Article
In this paper, a mathematical model for HILV-I infection of CD4+ T-cells is investigated. The force of infection is assumed be of a function in general form, and the resulting incidence term contains, as special cases, the bilinear and the saturation incidences. The model can be seen as an extension of the model [Wang et al. Mathematical analysis o...
Article
This paper proposes and analyzes a nonlinear model for the biological control of algal bloom in a lake. Algal bloom often occurs in a lake due to excessive flow of nutrients from domestic drainage, industrial and agricultural waste, and this causes the decrease in the concentration of dissolved oxygen in the lake. Hence, it threatens the survival o...
Article
In this paper, we consider a two-dimensional SIS model with vaccination. It is assumed that vaccinated individuals become susceptible again when vaccine loses its protective properties with time. Here the rate at which vaccinated individual move to susceptible class again, depends upon vaccine age and hence it is assumed to be a variable. This SIVS...
Article
An SIS epidemic model with a limited resource for treatment is introduced and analyzed. It is assumed that treatment rate is proportional to the number of infectives below the capacity and is a constant when the number of infectives is greater than the capacity. It is found that a backward bifurcation occurs if the capacity is small. It is also fou...
Article
The paper investigates the global stability of a dengue epidemic model with saturation and bilinear incidence. The constant human recruitment rate and exponential natural death, as well as vector population with asymptotically constant population, are incorporated into the model. The model exhibits two equilibria, namely, the disease-free equilibri...
Article
Full-text available
In this paper, a two-strain epidemic model with saturating contact rates is considered. It is shown that if the social activity of infected individuals does not vary with strains, then the competitive exclusion principle holds; if the social activity of infected individuals varies with different strains, the coexistence of pathogens is possible und...
Article
In this paper, a stage-structured epidemic model with a nonlinear incidence with a factor Sp is investigated. By using limit theory of differential equations and Theorem of Busenberg and van den Driessche, global dynamics of the model is rigorously established. We prove that if the basic reproduction number R0 is less than one, the disease-free equ...
Article
a b s t r a c t An HIV/AIDS epidemic model with treatment is investigated. The model allows for some infected individuals to move from the symptomatic phase to the asymptomatic phase by all sorts of treatment methods. We first establish the ODE treatment model with two infective stages. Mathematical analyses establish that the global dynamics of th...
Article
The dynamical behaviors of an SIR epidemic model with nonlinear incidence and treatment is investigated. It is assumed that treatment rate is proportional to the number of infectives below the capacity and is a constant when the number of infectives is greater than the capacity. It is found that a backward bifurcation occurs if the capacity is smal...
Article
Full-text available
The risk to humans of contracting tick-borne zoonotic diseases depends on the risk of a bite from an infected tick, which can be broken down into its component parts as the number of host-seeking ticks in the environment, in particular nymphs, and the prevalence of tick-borne pathogens they are carrying. In turn, the prevalence of tick-borne pathog...
Article
In this paper, an SIS model for bacterial infectious disease is proposed and analyzed where the growth of human population is logistic. It is assumed that disease is transmitted by direct contact of susceptibles with infectives as well as by bacteria. Further it is assumed that bacteria population too is growing logistically in the environment and...
Article
In this paper, an SIS model for bacterial infectious diseases, like tuberculosis, typhoid, etc., caused by direct contact of susceptibles with infectives as well as by bacteria is proposed and analyzed. Here the demography of the human population is constant immigration and the cumulative rate of the environmental discharges is a function of total...
Article
In this paper, a simple semi-discrete (ticks' feeding is assumed to occur only during the summers of each year) model for tick population dynamics is presented. Conditions for existence, uniqueness, and stability of a positive equilibrium are found; the system is then studied numerically using parameter estimates calibrated for the tick Ixodes rici...
Article
Many infectious diseases spread by carriers such as flies, ticks, mites, snails, etc. In this paper an SIS model for carrier-dependent infectious diseases, like cholera, diarrhea, etc. caused by direct contact of susceptibles with infectives as well as by carriers is proposed and analyzed assuming the growth of both the human and the carrier popula...
Article
Acid rain is a great problem in our world. It causes fish and plants to die in our water. In this paper, a mathematical model is proposed to study the effect of acidic chemicals on fish population and also effects of remedial liming of lakes on it. Using stability theory of differential equations and computer simulation, it is shown that due to the...
Article
Full-text available
A nonlinear mathematical model is proposed and analyzed to see the indirect effects of air pollutants on prey-predator type fish populations in a closed population (lake). It is shown that as the pollutant concentration in the environment increases, the concentration of the acidic chemicals in the lake increases and consequently the equilibrium lev...
Article
Many infectious diseases spread by carriers such as flies, ticks, mites, snails, etc. In this paper an SIS model for carrier-dependent infectious diseases, like cholera, diarrhea, etc. caused by direct contact of susceptibles with infectives as well as by carriers is proposed and analyzed assuming the growth of both the human and the carrier popula...

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Projects (3)
Project
Formulating infectious disease models of public interest and carrying out robust stability analysis of the autonomous models' equilibria via the construction of Lyapunov functionals. Performing a comprehensive analysis of the non-autonomous models based on the use of optimal control theory with a view to suggesting prevention and control interventions.