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

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. (C) 2016 Elsevier Inc. All rights reserved.