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Qualitative Analysis on a Class of Predator-prey Model with Holling Ⅲ Functional Response

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Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
4
DOI:
10.3969/j.issn.1001-9626.2004.04.002
Key Word:
捕食者-食饵模型;极限环;稳定性;Hopf分支;Predator-prey model;Limit cycles;Stability;Hopf bifurcation

Abstract: A predator-prey systems with Holling Ⅲ functional response is investigated. By using qualitative analysis and Hopf bifurcation theory, the sufficient conditions of the global stability, and the local stability of the three positive equilibria,and existence of one limit cycle are obtained. Using MATLAB software, we present three examples to simulate these conditions.

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