4.7 Article

Dynamics of a diffusive predator-prey system with a nonlinear growth rate for the predator

期刊

JOURNAL OF DIFFERENTIAL EQUATIONS
卷 260, 期 11, 页码 7923-7939

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2016.02.007

关键词

Holling type-II functional response; Steady state; Global attractivity

资金

  1. National Natural Science Foundation of China [11471085, 11301111]
  2. China Postdoctoral Science Foundation [2014M562151]
  3. Fund of Heilongjiang Education Committee [12541127]

向作者/读者索取更多资源

In this paper, we investigate a diffusive predator prey system with Honing type-II functional response and a nonlinear growth rate for the predator. Our results include the global attractivity of constant equilibria and non-existence of non-constant positive steady states. These results give some ranges for the model parameters within which, spatiotemporal pattern formation is impossible. (C) 2016 Elsevier Inc. All rights reserved.

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