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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 4, Pages 8–14 (Mi ivm9223)  
This article is cited in 3 scientific papers (total in 3 papers)

On global asymptotic stability of the equilibrium of “predator–prey” system in varying environment

A. O. Ignat'ev

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, 74 R. Luksemburg str., Donetsk, 83114 Ukraine
Full-text PDF (178 kB) Citations (3)
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Abstract: This paper deals with a predator–prey system of differential equations. This ecological system is a model of Lotka–Volterra type whose prey population receives time-variation of the environment. It is not assumed that the time-varying coefficient is weakly integrally positive. We obtain the sifficient conditions of global asymptotic stability of the unique interior equilibrium if the time-variation is bounded.
Keywords: global asymptotic stability, Lotka–Volterra predator–prey model.
Received: 28.09.2015
Revised: 19.11.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 4, Pages 5–10
DOI: https://doi.org/10.3103/S1066369X17040028
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: A. O. Ignat'ev, “On global asymptotic stability of the equilibrium of “predator–prey” system in varying environment”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 4, 8–14; Russian Math. (Iz. VUZ), 61:4 (2017), 5–10
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:39
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