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Globally asymptotical stability and existence of limit cycle for a generalized predator-prey model with prey refuge

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Publication:1799517
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DOI10.4310/PAMQ.2016.v12.n4.a6zbMath1401.34063WikidataQ115481125 ScholiaQ115481125MaRDI QIDQ1799517

Longheng Qian, Zhi-Hui Ma, Shu-Fan Wang, Ting-Ting Wang

Publication date: 19 October 2018

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)


zbMATH Keywords

predator-prey systemprey refugeglobally asymptotical stabilityexistence of limit cyclegeneralized response function


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)





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