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Fast and Slow Predator-Prey Dynamics with Multiple Refuges(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2017年03期
Page:
29-
Research Field:
·数学·
Publishing date:

Info

Title:
Fast and Slow Predator-Prey Dynamics with Multiple Refuges
Author(s):
Tian Shoujing; Yin Binfang; Qi Longxing
School of Mathematical Sciences,Anhui University,Hefei 230601,China
Keywords:
predator-prey model; multiple refuges; fast-slow system; migration; Hopf bifurcation
PACS:
O175
DOI:
10.3969/j.issn.1001-4616.2017.03.005
Abstract:
In this paper we established a predator-prey model with multiple refuges for prey. Based on two different time scales,applying the singular perturbation techniques we analyse the dynamics on the slow system. The stability analyses are performed and Hopf bifurcation occurs when the threshold condition is greater than one value. It is shown that adding refuges for prey may lead to stability lost. Furthermore,the case of one refuge and multiple refuges are compared. It is found that the migration of prey among patches affects the dynamics of predator-prey system. The effect of the migration between open habitat and refuges is stronger than that of the migration among refuges for prey. The refuge size also infects the dynamics of predator-prey system.

References:

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Last Update: 2017-09-30