Journal
APPLIED MATHEMATICAL MODELLING
Volume 42, Issue -, Pages 509-539Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2016.10.003
Keywords
Prey-predator system; Stability; Lotka-Volterra functional response
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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 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.
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