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JOURNALS // Computer Research and Modeling // Archive

Computer Research and Modeling, 2009 Volume 1, Issue 1, Pages 51–56 (Mi crm621)

This article is cited in 4 papers

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Mathematical model of predator–prey system with lower critical prey density

Yu. M. Aponin, E. A. Aponina

Institute of mathematical problems of biology RAS, IMPB RAS, Institutskaja str. 4, Puschino, Moscow Region, 142290, Russia

Abstract: A mathematical model of predator–prey microecosystem with lower critical population number of prey is considered. The predator–prey system is assumed to be under harvesting. Harvesting intensity variations generate changes in two model parameters which are considered as controllable. Bifurcation diagram in controllable parameters plane is constructed and corresponding phase portraits are represented.

Keywords: predator–prey system, ecosystems dynamics, bifurcation theory.

Received: 09.03.2008

DOI: 10.20537/2076-7633-2009-1-1-51-56



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