This paper treats the dynamical behavior of eco-epidemiological model with nonlinear incidence rate. A Holling type II prey-predator model withSI-type of disease in prey has been proposed and analyzed. The existence, uniqueness, and boundedness of the solution of the system are studied. The local and global dynamical behaviors are investigated. The conditions, which guarantee the occurring of Hopf bifurcation of the system, are established. Finally, further investigations for the global dynamics of the proposed system are carried out with the help of numerical simulations.
The biological system relies heavily on the interaction between prey and predator. Infections may spread from prey to predators or vice versa. This study proposes a virus-controlled prey-predator system with a Crowley–Martin functional response in the prey and an SI-type in the prey. A prey-predator model in which the predator uses both susceptible and sick prey is used to investigate the influence of harvesting parameters on the formation of dynamical fluctuations and stability at the interior equilibrium point. In the analytical section, we outlined the current circumstances for all possible equilibria. The stability of the system has also been explored, and the required conditions for the model’s stability at the equilibrium point have been found. In addition, we give numerical verification for our analytical findings with the help of graphical illustrations.
The aim of this paper is to consider and analyze the dynamic behavior of a modified Leslie-Gower prey-predator model with SIS-disease in predator incorporating prey protection and harvesting factor. The disease is spread from one predator to another through two ways. Physical contact; or external source. Firstly, the details of the assumptions in the proposed model and the significant of the parameters used in are discussed. Then the boundedness of the model is proved, certain conditions for persistence of the model are given and the existence as well as stability analysis of all possible non-negative equilibrium points is studied. Finally, to confirm our analytical finding we discussed numerical simulation of the model.
An eco-epidemiological model consisting of a three-species food web model, with an
SIS epidemic disease in the intermediate predator, is proposed and analyzed. It is assumed that the disease transmitted between the individual of intermediate predator species only through an external factors as well as contact. The existence, uniqueness and boundedness of the solution of the system are studied. The existence of all possible equilibrium points are discussed. The local as well as global stability analysis of each equilibrium point is investigated. Finally further investigations for the global dynamics of the proposed system are carried out with the help of numerical simulations. It is observed that the system has one type of attractors, its approaches asymptotically to one of its equilibrium points.
In this paper we discuss a new epidemic model for the dynamics of infectious disease in the presence of vaccine and therapeutic treatment is proposed and analyzed theoretically as well as numerically. The disease is transmitted from infected individuals and contaminated water to susceptible and vaccinated individuals, the proposed model includes a linear functional response.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.