The joint impacts of dispersal delay and dispersal patterns on the stability of predator-prey metacommunities.


Journal

Journal of theoretical biology
ISSN: 1095-8541
Titre abrégé: J Theor Biol
Pays: England
ID NLM: 0376342

Informations de publication

Date de publication:
07 02 2019
Historique:
received: 29 08 2018
revised: 23 10 2018
accepted: 28 11 2018
pubmed: 7 12 2018
medline: 24 3 2020
entrez: 4 12 2018
Statut: ppublish

Résumé

A predator-prey metapopulation model over arbitrary number of patches is considered in this paper. The model assumes that only prey move (with a dispersal delay) between all connected patches. Two cases of dispersal patterns are considered. For the case the dispersal of prey is due to random effect only (independent of predator density), we show that either the dispersal delay is harmless in the sense that it does not affect the stability of the metacommunity, or the dispersal delay can induce stability switches with finite number of stability intervals. For the case the dispersal of prey is due to predator-avoidance (dependent on predator density), we show that the interplay of density-dependent dispersal and dispersal delay may also induce finite number of stability switches. This indicates that the combination of the density-dependent dispersal and dispersal delay can exhibit both stabilizing and destabilizing effects on the stability of the coexistence equilibrium. Our results show that the delay and the patterns of prey dispersal jointly affect the stability of predator-prey metacommunities and can induce multiple stability switches.

Identifiants

pubmed: 30502408
pii: S0022-5193(18)30588-5
doi: 10.1016/j.jtbi.2018.11.035
pii:
doi:

Types de publication

Journal Article Research Support, Non-U.S. Gov't

Langues

eng

Sous-ensembles de citation

IM

Pagination

455-465

Informations de copyright

Copyright © 2018 Elsevier Ltd. All rights reserved.

Auteurs

Ali Mai (A)

School of Mathematics and Information Technology, Yuncheng University, Yuncheng, Shanxi, 044000, P. R. China. Electronic address: maialiy@126.com.

Guowei Sun (G)

School of Mathematics and Information Technology, Yuncheng University, Yuncheng, Shanxi, 044000, P. R. China. Electronic address: sunkanry@163.com.

Fengqin Zhang (F)

School of Mathematics and Information Technology, Yuncheng University, Yuncheng, Shanxi, 044000, P. R. China. Electronic address: zhafq@263.net.

Lin Wang (L)

Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, E3B 5A3, Canada. Electronic address: lwang2@unb.ca.

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Classifications MeSH