期刊
APPLIED MATHEMATICAL MODELLING
卷 40, 期 1, 页码 126-134出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2015.04.042
关键词
Hopf bifurcation; Predator-prey model; Delay; Beddington-DeAngelis functional response; Refuge
资金
- National Natural Science Foundation of China [11201075]
- Natural Science Foundation of Fujian Province of China [2010J01005]
- Education Department of Fujian Province
A kind of stage-structured predator-prey model with Beddington-DeAngelis functional response incorporating a prey refuge is investigated in this paper. By analyzing the corresponding characteristic equations, the local stability of the equilibria is investigated. Moreover, Hopf bifurcations occur at the positive equilibrium as the delay 2 crosses some critical values. Further, the influence of prey refuge on densities of predator species and prey species is investigated. Numerical simulations are carried out to illustrate our main results. (C) 2015 Elsevier Inc. All rights reserved.
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