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

被引：52

作者：

Kant, Shashi ^{[1
]}

Kumar, Vivek ^{[1
]}

机构：

[1] Delhi Technol Univ, Dept Appl Math, Main Bawana Rd, Delhi 110042, India

来源：

APPLIED MATHEMATICAL MODELLING | 2017年 / 42卷

关键词：

Prey-predator system; Stability; Lotka-Volterra functional response; FUNCTIONAL-RESPONSES; MODEL; DYNAMICS; INTERFERENCE; BIFURCATION; PARASITES;

D O I：

10.1016/j.apm.2016.10.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：509 / 539

页数：31

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