Journal
APPLIED MATHEMATICAL MODELLING
Volume 40, Issue 1, Pages 126-134Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2015.04.042
Keywords
Hopf bifurcation; Predator-prey model; Delay; Beddington-DeAngelis functional response; Refuge
Funding
- National Natural Science Foundation of China [11201075]
- Natural Science Foundation of Fujian Province of China [2010J01005]
- Education Department of Fujian Province
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available