Stability analysis of predator-prey system with migrating prey and disease infection in both species. (English) Zbl 1443.92013
Summary: We formulated and studied a predator-prey system with migrating prey and disease infection in both species. We used Lotka-Volterra type functional response. Mathematically, we analyzed the dynamics of the system such as existence of non negative equilibria, their stability. The basic reproduction number \(R_0\) for the proposed mathematical model is calculated. Disease is endemic if \(R_0 > 1\). Model is simulated by assuming hypothetical initial values and parameters.
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