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Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type
Journal article   Peer reviewed

Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type

Sze-Bi Hsu and Tzy-Wei Hwang
Taiwanese Journal of Mathematics, Vol.3(1), pp.35-53
03/1999

Abstract

Andronov-Hopf bifurcation Holling-Tanner model Multiple limit cycle Predator-prey system
In this paper we study the Hopf bifurcation for the Holling-Tanner model, a well-known predator-prey model in mathematical ecology. We show that for some parameter ranges, the Hopf bifurcation is subcritical and thus the system may have multiple limit cycles.

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