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Persistence and bifurcation analysis on a predator–prey system of holling type

Published online by Cambridge University Press:  15 November 2003

Debasis Mukherjee
Debasis Mukherjee*
Affiliation:
Department of Mathematics, Vivekananda College, Thakurpukur, Kolkata 700063, India. debasis_mukherjee2000@yahoo.co.in.
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Abstract

We present a Gause type predator–prey model incorporating delay due to response of prey population growth to density and gestation. The functional response of predator is assumed to be of Holling type II. In absence of prey, predator has a density dependent death rate. Sufficient criterion for uniform persistence is derived. Conditions are found out for which system undergoes a Hopf–bifurcation.

Keywords

Persistancebifurcationstabilityholling type II.

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 2 , March 2003 , pp. 339 - 344
Copyright
© EDP Sciences, SMAI, 2003

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