Shireen Jawad

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• Ph.D in Applied Mathematics
• Professor (Assistant) at Baghdad University College of Science

Global warming and dust pollutants endanger humans and the ecosystem. One very efficient way to reduce emissions of greenhouse gases and dust is to use plant biomass in a greenbelt. This study provides a mathematical model for how dust pollutants and climate change affect plant biomass dynamics. The proposed model is thoroughly described. The model...

Carbon dioxide is the main greenhouse gas contributing to global warming risk. Forest biomass is crucial for the sequestration of atmospheric carbon dioxide; however, the rate of decline in worldwide forest biomass is concerning and can be attributed to anthropogenic activities. Reforestation is essential in this situation to decrease the amount of...

Global warming has a serious impact on the survival of organisms. Very few studies have considered the effect of global warming as a mathematical model. The effect of global warming on the carrying capacity of prey and predators has not been studied before. In this article, an ecological model describing the relationship between prey and predator a...

This paper investigates the dynamics of a discrete-time predator-prey system in which the prey population is impacted by the Allee effect. Possible fixed points in the system are studied for their existence and topological categorization. Moreover, the presence and direction of period-doubling and Neimark-Sacker bifurcations at the interior fixed p...

Contracting cancer typically induces a state of terror among the individuals who are affected. Exploring how glucose excess, estrogen excess, and anxiety work together to affect the speed at which breast cancer cells multiply and the immune system's response model is necessary to conceive of ways to stop the spread of cancer. This paper proposes a...

In this work, we have developed a model that describes the relationships between top predators (such as tigers, hyenas, and others), crop raiders (such as baboons, warthogs, and deer), and prey (such as deer) in the coffee forests of southwest Ethiopia. Various potential equilibrium points are identified. Additionally, the model's stability in the...

Contracting cancer typically induces a state of terror among the individuals who are affected. Exploring how chemotherapy and anxiety work together to affect the speed at which cancer cells multiply and the immune system’s response model is necessary to come up with ways to stop the spread of cancer. This paper proposes a mathematical model to inve...

Dissolved oxygen, phytoplankton, and zooplankton populations represent the basis of the proposed mathematical model designed to investigate the impact of the depletion of dissolved oxygen in the plankton ecosystem. The dynamic analysis of the model is devoted to locating all possible equilibrium points. The analysis demonstrates that three equilibr...

The photosynthetic activity of phytoplankton in the seas is responsible for an estimated 50-80 % of the world's oxygen generation. Both phytoplankton and zooplankton require some of this synthesized oxygen for cellular respiration. This study aims to better understand how the oxygen-phytoplankton dynamics are altered due to the Allee effect in phyt...

This study presents a mathematical model describing the interaction of gut bacteria in the participation of probiotics and antibiotics, assuming that some good bacteria become harmful through mutations due to antibiotic exposure. The qualitative analysis exposes twelve equilibrium points, such as a good-bacteria equilibrium, a bad-bacteria equilibr...

In this paper, we study the incorporation of the commensalism interaction and harvesting on the Lotka–Volterra food chain model. The system provides one commensal prey, one harvested prey, and two predators. A set of preliminary results in local bifurcation analysis around each equilibrium point for the proposed model is discussed, such as saddle-n...

Dyspepsia is a significant public health issue that affects the entire world population. In this work, we formulate and analyze a deterministic model for the population dynamics of Gut bacteria in the presence of antibiotics and Probiotic supplements. All the possible equilibria and their local stability are obtained. The global stability around th...

In this paper, the interplay among four population species is offered. The system consists of two competitive prey, predator and super predators. The application of the hypothesis of the Sotomayor theorem for local bifurcation around every equilibrium point is adopted. It is detected that the transcritical bifurcation could occur near most of the s...

In this study, we set up and analyze a cancer growth model that integrates a chemotherapy drug with the impact of vitamins in boosting and strengthening the immune system. The aim of this study is to determine the minimal amount of treatment required to eliminate cancer, which will help to reduce harm to patients. It is assumed that vitamins come f...

The interplay of species in a polluted environment is one of the most critical aspects of the ecosystem. This paper explores the dynamics of the two-species Lokta-Volterra competition model. According to the type I functional response, one species is affected by environmental pollution. Whilst the other degrades the toxin according to the type II f...

This paper treats the interactions among four population species. The system includes one mutuality prey, one harvested prey and two predators. The four species interaction can be described as a food chain, where the first prey helps the second harvested prey. The first and the second predator attack the first and the second prey, respectively, acc...

This paper aims to study the prey refuge impact on the dynamic behaviour of a stage structure predator-prey model. The model consists of four ecological species: prey in the protected and unprotected area and immature and mature predators. It assumes the grown predator can feeds only on the prey in an unreserved area. The conditions that guarantee...

The interplay of predation, competition between species and harvesting is one of the most critical aspects of the environment. This paper involves exploring the dynamics of four species' interactions. The system includes two competitive prey and two predators; the first prey is preyed on by the first predator, with the former representing an additi...

This paper suggests and analyses a model consisting of two commensal populations with Michaelis-Menten type of harvesting for the first population. The first harvested commensal species draws strength from the second hosted species. The overall dynamics are provided to achieve the coexistence, stability and persistence of the equilibrium points for...

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We propose a stage structure predator-prey model with a partially dependent predator and prey conservation. It is taken that the environment has been divided into two disjoint regions, namely, unreserved and reserved areas, where a predator is not allowed to enter the latter. The first model describes four species: prey refuge (prey in the reserved...

Wind flow is one of the biosphere components that could change the amount of predation. This paper suggests and analyses a prey-predator model including wind in the predation task. The Holling-Tanner functional response has been considered to illustrate the global dynamics of the proposed model, considering the change in wind intensity. The persist...

This paper examines an ecotoxicant-epidemiological model involving infectious disease in prey of kind SI. The susceptible prey and predator released some toxic material to each other. This model is a modified version from the classic Lotka-Volterra predator prey model as a struggle. The conditions for the existence and local stability of equilibriu...

In this paper, a discrete SIS epidemic model with immigrant and treatment effects is proposed. Stability analysis of the endemic equilibria and disease-free is presented. Numerical simulations are conformed the theoretical results, and it is illustrated how the immigrants, as well as treatment effects, change current model behaviour. Subject Classi...

This paper discusses the discrete stage-structure prey-predator model involved in the Beddington-DeAngelis type of functional response described by differential equation systems proposed as three-dimensional systems. Furthermore, the predators are divided into two types of populations, namely, mature and immature, along with the prey population. Th...

Many biological problems can be reduced to the description of a food chain model or a food web. In these systems, the biodiversity and coexistence of all species are vital issues to discuss. Three ecological models have been proposed in case of the existence of a reserved area, in order to understand multi-species interactions so as to prevent the...

In virtualised 5G networks, evaluating the Power Consumption (PC) and other trade-offs could help optimising the power planning, quality of service (QoS) and Energy Efficiency (EE). In this chapter, parameterised and componentised power models (PMs) are proposed to evaluate the virtualisation based software defined cloud-radio access network (VSDCR...

*Propose a food chain prey-predator model with a prey refuge. * Using mathematical analysis of this model to discuss the conditions which influence existence, uniqueness, positiveness, and boundedness of solutions of the model. * The effect of diverse the parameter values on the dynamical behavior of the proposed model around each equilibrium po...

Aim • To offer mathematical analysis of a four-species food chain prey predator model with a prey refuge. • Study the long-term survival of each component. • keep the species from extinction.

In this paper a mathematical model has been proposed and analyzed to study the role of reserved zone on the dynamical behavior of prey-predator system in two different cases. In the first case it is assumed that there is a wholly dependent predator, while in the second case it is assumed that the predator is a partially dependent. The dynamical beh...

This thesis treats the qualitative behavior of the dynamics for some ecological models. Two types of prey-predator models are proposed and analyzed analytically as well as numerically in two different cases (wholly dependent predator and partially dependent predator). In the first model, it is assumed that the habitat is divided into two disjoint z...