Qualitative analysis of a harvested predator-prey system with Holling type III functional response

DOI10.1186/1687-1847-2013-249zbMath1375.92052OpenAlexW2141645446WikidataQ59301024 ScholiaQ59301024MaRDI QIDQ1682149

Qiaohong Jiang, Jinghai Wang

Publication date: 28 November 2017

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-249

zbMATH Keywords

limit cyclesglobal stabilitybionomic equilibriumHolling type IIIoptimal harvest policy

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Global dynamics and controllability of a harvested prey-predator system with Holling type III functional response
• Coexistence Region and Global Dynamics of a Harvested Predator-Prey System
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