In this paper, we are concerned with a time periodic and diffusivepredator-prey model with disease transmission in the prey. Firstwe consider a \begin{document}$ SI $\end{document} model when the predator species… Click to show full abstract
In this paper, we are concerned with a time periodic and diffusivepredator-prey model with disease transmission in the prey. Firstwe consider a \begin{document}$ SI $\end{document} model when the predator species is absent. Byintroducing the basic reproduction number for the \begin{document}$ SI $\end{document} model, weshow the sufficient conditions for the persistence and extinctionof the disease. When the presence of the predator is taken intoaccount, a number of sufficient conditions for the co-existence ofthe prey and predator species, the global extinction of predatorspecies and the global extinction of both the prey and predatorspecies are given.
Journal Title: Discrete and Continuous Dynamical Systems - Series S
Year Published: 2017
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