| Author(s) |
Min, Na
Ni, Wenjie
Zhang, Hongyang
Jin, Chaoyong
|
| Publication Date |
2019-12
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| Abstract |
<p>In this paper, we study a diffusive prey-predator model with Beddington-DeAngelis functional response when the intraspecific crowding effect for the prey population disappears in some subdomain Ω<sub>0</sub> of their whole habitat. We are concerned about the global dynamics of the system and discuss it based on two coefficients: the growth rate of prey λ and that of predator <i>μ</i>. In particular, the results show that, with the degeneracy of prey population's intraspecific crowding effect in the subdomain Ω<sub>0</sub>, the density of prey may tend to infinity in Ω<sub>0</sub>. On the other hand, the unboundedness of prey means that the solutions of the system lose compactness which may bring difficulty to investigate the long-time behavior of the solutions. Finally, some numerical simulations are presented to support and strengthen our theoretical analysis.</p>
|
| Citation |
Zeitschrift fuer Angewandte Mathematik und Physik, 70(6), p. 1-24
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| ISSN |
1420-9039
0044-2275
|
| Link | |
| Publisher |
Birkhaeuser Science
|
| Title |
Long-time behavior of a diffusive prey-predator system with Beddington-DeAngelis functional response in heterogeneous environment
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| Type of document |
Journal Article
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| Entity Type |
Publication
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