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1999 HOPF BIFURCATION ANALYSIS FOR A PREDATOR-PREY SYSTEM OF HOLLING AND LESLIE TYPE
Sze-Bi Hsu, Tzy-Wei Hwang
Taiwanese J. Math. 3(1): 35-53 (1999). DOI: 10.11650/twjm/1500407053

Abstract

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.

Citation

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Sze-Bi Hsu. Tzy-Wei Hwang. "HOPF BIFURCATION ANALYSIS FOR A PREDATOR-PREY SYSTEM OF HOLLING AND LESLIE TYPE." Taiwanese J. Math. 3 (1) 35 - 53, 1999. https://doi.org/10.11650/twjm/1500407053

Information

Published: 1999
First available in Project Euclid: 18 July 2017

zbMATH: 0935.34035
MathSciNet: MR1676021
Digital Object Identifier: 10.11650/twjm/1500407053

Subjects:
Primary: 34C35 , 92A17

Keywords: Andronov-Hopf bifurcation , Holling-Tanner model , multiple limit cycle , predator-prey system

Rights: Copyright © 1999 The Mathematical Society of the Republic of China

Vol.3 • No. 1 • 1999
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