Abstract
In this paper, an eco-epidemiological model with media coverage effect is proposed and studied. A prey-predator model with modified Leslie-Gower and functional response is studied. An -type of disease in prey is considered. The existence, uniqueness and boundedness of the solution of the model are discussed. The local and global stability of this system are carried out. The conditions for the persistence of all species are established. The local bifurcation in the model is studied. Finally, numerical simulations are conducted to illustrate the analytical results.
Highlights
The utilization of mathematical models for studying and understanding the spread and controlling infectious diseases has become a highly important tool
The scientists extensively studied the dynamics of ecological models in the existence of infectious diseases and provided important insights into complex biological processes
According to the above hypotheses, the dynamics of the above-described system, that is consisting of a diseased prey-predator system incorporating the media coverage, can be represented by the following set of differential equations:
Summary
The utilization of mathematical models for studying and understanding the spread and controlling infectious diseases has become a highly important tool. Alwan and Abdul Satar [24] proposed and studied a prey-predator model having a disease in predator species and involving media coverage. They used it for describing the predation process as a Lotka-Volterra type of functional response. An SIS-type of disease in prey is considered, so that a modified Leslie-Gower prey-predator model is proposed and the effect of media coverage on the dynamics of a proposed eco-epidemiological model is studied. The discussion and conclusions are addressed in section (7)
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