Abstract
In this paper, an eco-epidemiological model with media coverage effects is established and studied. An -type of disease in predator is considered. All the properties of the solution of the proposed model are discussed. An application to the stability theory was carried out to investigate the local as well as global stability of the system. The persistence conditions of the model are determined. The occurrence of local bifurcation in the model is studied. Further investigation of the global dynamics of the model is achieved through using a numerical simulation.
Highlights
The term eco-epidemiological models is used to describe the models that incorporate disease in ecological communities [1]
Al Basir [18] formulated and analyzed an epidemic model on the prevalence of infectious diseases using awareness campaign driven by media, with the aim of investigating the effects of awareness and delay on disease outbreak
The natural death rate of predator individuals is given by while the disease death rate is represented by According to the above hypotheses, the dynamics of the above-described system, that consists of a prey-predator system, which incorporates the media coverage, can be described in the following set of differential equations:
Summary
The term eco-epidemiological models is used to describe the models that incorporate disease in ecological communities [1]. Cui et al [12] constructed a mathematical model that incorporates media coverage to understand its effects on the spread of infectious diseases in a given population. Al Basir [18] formulated and analyzed an epidemic model on the prevalence of infectious diseases using awareness campaign driven by media, with the aim of investigating the effects of awareness and delay on disease outbreak. These studies observed that effective media coverage can postpone the arrival of the infections peak and that a fewer number of individuals become infected in the course of transmission.
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