Bifurcation Analysis of a Delayed Predator-Prey Model with Holling Type III Functional Response and Predator Harvesting. (3rd March 2014)

• Record Type: Journal Article
• Authors: Das, Uttam; Kar, T. K.
• Other Names: Ghosh Dibakar Academic Editor.
• Is Part Of: Journal of nonlinear dynamics. Volume 2014(2014)
• Publication Date: 2014-03-03
• Subjects: Nonlinear theories -- Periodicals; Dynamics -- Periodicals; Dynamics; Nonlinear theories; Periodicals; 531.11
• DOI: 10.1155/2014/543041
• Languages: English
• ISSNs: 2356-7503

Abstract

Abstract : This paper tries to highlight a delayed prey-predator model with Holling type III functional response and harvesting to predator species. In this context, we have discussed local stability of the equilibria, and the occurrence of Hopf bifurcation of the system is examined by considering the harvesting effort as bifurcation parameter along with the influences of harvesting effort of the system when time delay is zero. Direction of Hopf bifurcation and the stability of bifurcating periodic solutions are also studied by applying the normal form theory and the center manifold theorem. Lastly some numerical simulations are carried out to draw for the validity of the theoretical results.