Global Dynamics of an Exploited Prey-Predator Model with Constant Prey Refuge. (12th September 2013)

• Record Type: Journal Article
• Authors: Das, Uttam; Kar, T. K.; Pahari, U. K.
• Other Names: Figge M. T. Academic Editor.; José M. Academic Editor.; Polezhaev A. A. Academic Editor.; Wu J. H. Academic Editor.
• Is Part Of: ISRN biomathematics. Volume 2013(2013)
• Publication Date: 2013-09-12
• Subjects: Biomathematics -- Periodicals; Models, Biological; Biometry; Biomathematics; Electronic journals; Periodicals; Periodicals; Fulltext; Internet Resources; Periodicals; 570.151
• DOI: 10.1155/2013/637640
• Languages: English
• ISSNs: 2090-7702

Abstract

Abstract : This paper describes a prey-predator model with Holling type II functional response incorporating constant prey refuge and harvesting to both prey and predator species. We have analyzed the boundedness of the system and existence of all possible feasible equilibria and discussed local as well as global stabilities at interior equilibrium of the system. The occurrence of Hopf bifurcation of the system is examined, and it was observed that the bifurcation is either supercritical or subcritical. Influences of prey refuge and harvesting efforts are also discussed. Some numerical simulations are carried out for the validity of theoretical results.