Long-time behavior of a diffusive prey-predator system with Beddington-DeAngelis functional response in heterogeneous environment

Title
Long-time behavior of a diffusive prey-predator system with Beddington-DeAngelis functional response in heterogeneous environment
Publication Date
2019-12
Author(s)
Min, Na
Ni, Wenjie
( author )
OrcID: https://orcid.org/0000-0002-3147-7296
Email: wni2@une.edu.au
UNE Id une-id:wni2
Zhang, Hongyang
Jin, Chaoyong
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Birkhaeuser Science
Place of publication
Switzerland
DOI
10.1007/s00033-019-1194-z
UNE publication id
une:1959.11/31886
Abstract

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 Ω0 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 μ. In particular, the results show that, with the degeneracy of prey population's intraspecific crowding effect in the subdomain Ω0, the density of prey may tend to infinity in Ω0. 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.

Link
Citation
Zeitschrift fuer Angewandte Mathematik und Physik, 70(6), p. 1-24
ISSN
1420-9039
0044-2275
Start page
1
End page
24

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