Dynamics of a stage structure prey-predator model with ratio-dependent functional response and anti-predator behavior of adult prey

IF 1.1 Q2 MATHEMATICS, APPLIED

Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI:10.3934/naco.2020033

P. Panja, Soovoojeet Jana, S. Mondal

引用次数: 8

Abstract

In this paper, a predator-prey interaction model among juvenile prey, adult prey and predator has been developed where stage structure is considered on prey species. The functional responses has been considered as ratio dependent. It is assumed that that the adult prey is strong enough such that it has an anti-predator characteristic. Global dynamics of the co-existing equilibrium point has been discussed with the help of the geometric approach. Furthermore, it is established that the proposed system undergoes through a Hopf bifurcation with respect to some important parameters. Finally, some numerical simulations have been done to test our theoretical results.

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具有比例依赖功能反应和成年猎物反捕食行为的阶段结构捕食-捕食模型动力学

本文建立了幼食饵、成年食饵和捕食者之间的捕食-食饵相互作用模型，考虑了食饵物种的阶段结构。功能响应被认为是比例相关的。据推测，成年猎物足够强壮，因此具有反捕食者的特征。利用几何方法讨论了共存平衡点的全局动力学问题。进一步证明了该系统对一些重要参数存在Hopf分岔。最后，通过数值模拟对理论结果进行了验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Numerical Algebra Control and Optimization MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

期刊介绍： Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.