Year: 2015
Author: Rui Huang, Qiangyou Pan, Lianzhang Bao
Communications in Mathematical Research , Vol. 31 (2015), Iss. 3 : pp. 274–280
Abstract
In this paper, we consider a predator-prey model. A sufficient condition is presented for the stability of the equilibrium, which is different from the one for the model with Hassell-Varley type functional response. Furthermore, by constructing a Lyapunov function, we prove that the positive equilibrium is asymptotically stable.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.03.10
Communications in Mathematical Research , Vol. 31 (2015), Iss. 3 : pp. 274–280
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: Allee effect asymptotically stable predator-prey model.