Global Dynamics of a Predator-Prey Model

Authors

  • Rui Huang
  • Qiangyou Pan
  • Lianzhang Bao

DOI:

https://doi.org/10.13447/j.1674-5647.2015.03.10

Keywords:

Allee effect, asymptotically stable, predator-prey model.

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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Published

2021-05-14

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Issue

Vol. 31 No. 3 (2015)

Section

Articles

How to Cite

Global Dynamics of a Predator-Prey Model. (2021). Communications in Mathematical Research, 31(3), 274-280. https://doi.org/10.13447/j.1674-5647.2015.03.10