doi: 10.17706/ijapm.2017.7.1.24-32
Dynamics of a Stage-Structured Predator-Prey Model
- Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, India
Abstract
This paper deals with the dynamics of a stage-structured predator-prey system. The immature and mature prey are predated by the predator for which modified Holling type II functional response is considered in the model. The solution of the system is positive and bounded. Stability analysis has been discussed about all possible feasible equilibrium points. The origin and boundary equilibrium points are shown to be globally asymptotically stable. The parameters are identified for which system also admits trans-critical bifurcation about these points. The occurrence of Hopf bifurcation has been shown through numerical simulation about positive interior point. Persistence condition is obtained.
Keywords
- Global stability
- Hopf bifurcation
- persistence
- trans-critical bifurcation
How to Cite
Sunita Gakkhar and Komal Gupta, "Dynamics of a Stage-Structured Predator-Prey Model," International Journal of Applied Physics and Mathematics, vol. 7, no. 1, pp. 24-32, 2017. https://doi.org/ 10.17706/ijapm.2017.7.1.24-32
Copyright & License
Copyright © 2017 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).