Mathematical Analysis of an Eco-Epidemic Model with Different Functional Responses of Healthy and Infected Predators on Prey Species

被引：4
作者：
Das, Harekrishna [1 ]
Shaikh, Absos Ali [1 ]
Sarwardi, Sahabuddin [2 ]
机构：
[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India
[2] Aliah Univ, Dept Math & Stat, 2A-27 New Town, Kolkata 700160, W Bengal, India
来源：
JOURNAL OF APPLIED NONLINEAR DYNAMICS | 2020年 / 9卷 / 04期
关键词：
Eco-epidemic system; Persistence; Stability; Bifurcation; DISEASE; SYSTEM; STOCKING; DYNAMICS;
D O I：
10.5890/JAND.2020.12.010
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This article describes a mathematical model for a predator-prey system with two types of functional responses and a transmissible disease in the predator species. The effect of stocking of healthy predator in healthy predator species class and harvesting of healthy predator are analyzed. The essential mathematical features of the proposed eco-epidemic system such as boundedness, positivity, local and global stability and Hopf bifurcation are discussed. Numerical simulations are also performed to validate the theoretical results obtained. (C) 2020 L&H Scientific Publishing, LLC. All rights reserved.
引用
收藏
页码：667 / 684
页数：18
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