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Stability analysis of predator–prey system with migrating prey and disease infection in both species

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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… Click to show full abstract

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 R0 for the proposed mathematical model is calculated. Disease is endemic if R0 > 1. Model is simulated by assuming hypothetical initial values and parameters.

Keywords: predator prey; system; prey system; migrating prey; prey disease; system migrating

Journal Title: Applied Mathematical Modelling
Year Published: 2017

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