HETEROCLINIC BIFURCATIONS OF A PREY–PREDATOR FISHERY MODEL WITH IMPULSIVE HARVESTING

DOI10.1142/S1793524513500319zbMath1417.37288WikidataQ115522902 ScholiaQ115522902MaRDI QIDQ2925861

Chunjin Wei, Lan-Sun Chen

Publication date: 29 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

periodic solutionheteroclinic cycleheteroclinic bifurcationsrotated vector fieldssuccessor function

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Cites Work

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• Optimal harvesting in a predator-prey model with Allee effect and sigmoid functional response
• Mathematical models of restoration and control of a single species with Allee effect
• Complex dynamics analysis for a duopoly model of common fishery resource
• Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis-Menten type prey-harvesting
• HOMOCLINIC BIFURCATION IN SEMI-CONTINUOUS DYNAMIC SYSTEMS
• Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
• DYNAMICS ON A HOLLING II PREDATOR–PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL

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