Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 260, Issue 11, Pages 7923-7939Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2016.02.007
Keywords
Holling type-II functional response; Steady state; Global attractivity
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Funding
- National Natural Science Foundation of China [11471085, 11301111]
- China Postdoctoral Science Foundation [2014M562151]
- Fund of Heilongjiang Education Committee [12541127]
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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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