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

Aponin Yu.M., Aponina E.A.
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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 control-lable parameters plane is constructed and corresponding phase portraits are represented.

Keywords: predator – prey system, ecosystems dynamics, bifurcation theory
Citation in English: Aponin Yu.M., Aponina E.A. Mathematical model of predator – prey system with lower critical prey density // Computer Research and Modeling, 2009, vol. 1, no. 1, pp. 51-56
Citation in English: Aponin Yu.M., Aponina E.A. Mathematical model of predator – prey system with lower critical prey density // Computer Research and Modeling, 2009, vol. 1, no. 1, pp. 51-56
DOI: 10.20537/2076-7633-2009-1-1-51-56
URL: http://crm-en.ics.org.ru/journal/article/1574/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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