Prey–predator nonlinear harvesting model with functional response incorporating prey refuge

被引：0

作者：

Santra P. ^{[1
]}

Mahapatra G.S. ^{[2
]}

Pal D. ^{[3
]}

机构：

[1] Department of Mathematics, Abada New Set Up Upper Primary School, Howrah, West Bengal

[2] Department of Mathematics, National Institute of Technology Puducherry, Karaikal

[3] Chandrahati Dilip Kumar High School(H.S.), Chandrahati, 712504, West Bengal

来源：

International Journal of Dynamics and Control | 2016年 / 4卷 / 03期

关键词：

Bionomic equilibrium; Functional response; Nonlinear harvesting; Prey refuge; Prey–predator system; Stability;

D O I：

10.1007/s40435-015-0198-6

中图分类号：

学科分类号：

摘要：

In the present paper, we propose a prey–predator model by considering some among of prey are refugees and predator interact with non refugees prey by class of functional responses. Here we also consider nonlinear harvesting for only non refugees prey. We discuss the equilibria of the model and their stability for hiding prey either in constant or proportional to the densities of prey population. Also we investigate various possibilities of bionomic equilibrium. Finally we present numerical example with graphical presentation of the various effect of the prey predator system parameter. © 2015, Springer-Verlag Berlin Heidelberg.

引用

页码：293 / 302

页数：9

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