Journal
MATHEMATICS AND COMPUTERS IN SIMULATION
Volume 85, Issue -, Pages 57-77Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.matcom.2012.10.003
Keywords
Prey-predator; Refuge; Delay; Hopf bifurcation; Global stability
Categories
Funding
- University Grants Commission, Government of India [F. 11-2/2002 (SA-1)]
Ask authors/readers for more resources
This paper describes a prey-predator model with Holling type II functional response incorporating prey refuge. The equilibria of the proposed system are determined and the behavior of the system is investigated around equilibria. Density-dependent mortality rate for the predator is considered as bifurcation parameter to examine the occurrence of Hopf bifurcation in the neighborhood of the co-existing equilibrium point. Discrete-type gestational delay of predators is also incorporated on the system. The dynamics of the delay induced prey-predator system is analyzed. Delay preserving stability and direction of the system is studied. Global stability of the delay preserving system is shown. Finally, some numerical simulations are given to verify the analytical results, and the system is analyzed through graphical illustrations. (C) 2012 IMACS. Published by Elsevier B.V. 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