An Eco-Epidemic Predator-Prey Model with Allee Effect in Prey

被引：7

作者：

Shaikh, Absos Ali ^{[1
]}

Das, Harekrishna ^{[1
]}

机构：

[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2020年 / 30卷 / 13期

关键词：

Eco-epidemic model; Allee effect; stability; bifurcation; chaos; POPULATION-DYNAMICS; TIME-DELAY; DISEASE; SYSTEM; FOOD;

D O I：

10.1142/S0218127420501941

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article describes the dynamics of a predator prey model with disease in predator population and prey population subject to Allee effect. The positivity and boundedness of the solutions of the system have been determined. The existence of equilibria of the system and the stability of those equilibria are analyzed when Allee effect is present. The main objective of this study is to investigate the impact of Alice effect and it is observed that the system experiences Hopf bifurcation and chaos due to Allee effect. The results obtained from the model may be useful for analyzing the real-world ecological and eco-epidemiological systems.

引用

页数：16

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