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Computer Research and Modeling, 2009, Volume 1, Issue 1, Pages 51–56
DOI: https://doi.org/10.20537/2076-7633-2009-1-1-51-56 (Mi crm621) 		 
This article is cited in 4 scientific papers (total 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
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DOI: https://doi.org/10.20537/2076-7633-2009-1-1-51-56
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
Document Type: Article
Language: Russian
Citation: Yu. M. Aponin, E. A. Aponina, “Mathematical model of predator–prey system with lower critical prey density”, Computer Research and Modeling, 1:1 (2009), 51–56
Citation in format AMSBIB
\Bibitem{ApoApo09}
\by Yu.~M.~Aponin, E.~A.~Aponina
\paper Mathematical model of predator--prey system with lower critical prey density
\jour Computer Research and Modeling
\yr 2009
\vol 1
\issue 1
\pages 51--56
\mathnet{http://mi.mathnet.ru/crm621}
\crossref{https://doi.org/10.20537/2076-7633-2009-1-1-51-56}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Computer Research and Modeling
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