Combine effects of square root functional response and prey refuge on predator-prey dynamics

Prabir Panja

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Combine effects of square root functional response and prey refuge on predator-prey dynamics

机译：Combine effects of square root functional response and prey refuge on predator-prey dynamics

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摘要

In this paper, a predator-prey interaction mathematical model has been developed incorporating prey refuge and square root functional response. It is considered that the prey species grow logistically in the absence of predator. Then, positivity and boundedness of solutions of our proposed system have been investigated. After that all possible equilibrium points of our proposed system are determined. Also, the local stability of our proposed system around the equilibrium points has been discussed. Global stability of interior equilibrium is also investigated. The Hopf bifurcation analysis has been done with respect to prey refuge rate (c), conservation rate of prey (b) and death rate of predator (d). Finally, some numerical-simulated results have been presented to test the validity of our theoretical findings.

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来源
《International journal of modelling & simulation》 |2021年第6期|426-433|共8页
作者
Prabir Panja;
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作者单位

Department of Applied Science, Haldia Institute of Technology, Haldia, India;

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类
关键词
Prey; predator; square root functional response; prey refuge; Hopf bifurcation;

Combine effects of square root functional response and prey refuge on predator-prey dynamics

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