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- Title
Research on global bifurcation of a predator-prey model.
- Authors
Shan-bing, LI; Yan-ling, LI
- Abstract
In this paper, the existence of positive solution of the steady-state system for the predator-prey model with Holling type II functional response incorporating a prey refuge is studied. Firstly, by the linearized stability theory, the stability of positive constant steady-state solution is obtained. Secondly, by the Crandall-Rabinowitz local bifurcation theory, the existence of local bifurcation positive solution is obtained. Finally, resorting to the global bifurcation theory, the local bifurcation solution to the global one is extended. The results show that the predator and prey can co-exist under certain conditions.
- Subjects
BIFURCATION theory; LOTKA-Volterra equations; NUMERICAL solutions to equations; STABILITY theory; MATHEMATICAL constants
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2012, Vol 25, Issue 3, p299
- ISSN
1006-8341
- Publication type
Article