Journal
NONLINEAR DYNAMICS
Volume 79, Issue 4, Pages 2251-2270Publisher
SPRINGER
DOI: 10.1007/s11071-014-1808-0
Keywords
Turing instability; Pattern formation; Hopf bifurcation; Harvesting; Holling type IV functional response
Categories
Funding
- University Grants Commission, Govt. of India [42-16/2013(SR)]
Ask authors/readers for more resources
In this paper, we study the complex dynamics of a spatial nonlinear predator-prey system under harvesting. A modified Leslie-Gower model with Holling type IV functional response and nonlinear harvesting of prey is considered. We perform a detailed stability and Hopf bifurcation analysis of the spatial model system and determine the direction of Hopf bifurcation and stability of the bifurcating periodic solutions. Numerical simulations were performed to figure out how Turing patterns evolve under nonlinear harvesting. Simulation study leads to a few interesting sequences of pattern formation, which may be relevant in real world situations.
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