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Bifurcation and Stability of Prey-Predator Model with Beddington-DeAngelis Functional Response.

Authors :
Sarkar, Moulipriya
Das, Tapasi
Mukherjee, R. N.
Source :
Applications & Applied Mathematics. Jun2017, Vol. 12 Issue 1, p350-366. 17p.
Publication Year :
2017

Abstract

In this paper we discuss the harvesting of the prey species making a fraction of them to be accessed by the predator while both the prey and predator are being subjected to Beddington-DeAngelis functional response. It is observed that a Hopf-bifurcation may occur around the interior equilibrium taking the environmental carrying capacity of the prey species as the parameter. Some numerical examples and the corresponding curves are studied using Maple to explain the results of the proposed model. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
19329466
Volume :
12
Issue :
1
Database :
Academic Search Index
Journal :
Applications & Applied Mathematics
Publication Type :
Academic Journal
Accession number :
124923038