Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 265, Issue 8, Pages 3754-3791Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2018.05.017
Keywords
Spatially heterogeneous; Holling type II response; Asymptotic behavior; Stability
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Funding
- Natural Science Foundation of China [11771262, 11671243, 61672021]
- Post-doctoral Science Foundation of China [2016M602767]
- Fundamental Research Funds for the Central Universities [JBX170707]
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In this paper, we continue to study a spatially heterogeneous predator-prey system where the interaction is governed by a Holling type II functional response, which has been studied in Du and Shi (2007) [14]. We further study the asymptotic profile of positive solutions and give a complete understanding of coexistence region. Moreover, a good understanding of the number, stability and asymptotic behavior of positive solutions is gained for large m. Finally, we further compare the difference of steady-state solutions between m > 0 and m = 0. It turns out that the spatial heterogeneity of the environment and the Holling type II functional response play a very important role in this model. (C) 2018 Elsevier Inc. All rights reserved.
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