Absence of limit cycles of a predator-prey system with a sigmoid functional response

DOI10.1016/0893-9659(96)00056-0zbMath0865.34032OpenAlexW2029989964WikidataQ115599012 ScholiaQ115599012MaRDI QIDQ5961681

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Publication date: 12 March 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(96)00056-0

zbMATH Keywords

Liénard systemlimit cycleLotka-Volterrapredator-prey systemsigmoid functional response

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25)

Related Items (15)

Influencia del efecto Allee débil en las presas en un modelo de depredación del tipo Leslie-Gower con respuesta funcional sigmoidea ⋮ Limit cycles in a Gause-type predator-prey model with sigmoid functional response and weak Allee effect on prey ⋮ A Leslie–Gower-type predator–prey model with sigmoid functional response ⋮ Global dynamics of a predator-prey model with general Holling type functional responses ⋮ On a predator-prey system of Holling type ⋮ Predator-prey systems with a general non-monotonic functional response ⋮ Prey herd behavior modeled by a generic non-differentiable functional response ⋮ A predator-prey system with Holling-type functional response ⋮ How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses ⋮ Multiple limit cycles in a Gause type predator-prey model with Holling type III functional response and Allee effect on prey ⋮ Dynamics of an ecological system ⋮ Global stability of the predator-prey model with a sigmoid functional response ⋮ Attraction region for the classical Lotka-Volterra predator-prey model caused by impulsive effects ⋮ Effect of prey refuge on the spatiotemporal dynamics of a modified Leslie-Gower predator-prey system with Holling type III schemes ⋮ Homoclinic orbits in predator-prey systems with a nonsmooth prey growth rate

Cites Work

• Unnamed Item
• Non-existence of periodic solutions of the Liénard system
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• A model predator-prey system with functional response
• Non-existence, uniqueness of limit cycles and center problem in a system that includes predator-prey systems and generalized Liénard equations
• Uniqueness of limit cycles of generalised Lienard systems and predator-prey systems
• On a Kind of Predator-Prey System
• Uniqueness of a Limit Cycle for a Predator-Prey System

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