Uniqueness of limit cycles in a predator-prey system with Holling-type functional response
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Publication:4453592
DOI10.1090/qam/1770656zbMath1036.92038OpenAlexW200961866WikidataQ115545968 ScholiaQ115545968MaRDI QIDQ4453592
Publication date: 7 March 2004
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/qam/1770656
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)
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Geometric criteria for the non-existence of cycles in predator-prey systems with group defense ⋮ Global Stability and Canard Explosions of the Predator-Prey Model with the Sigmoid Functional Response ⋮ Dynamical and numerical analyses of a generalized food-chain model ⋮ A predator-prey system with Holling-type functional response ⋮ Predator-Prey Interactions with Hunger Structure ⋮ A necessary and sufficient condition for global asymptotic stability of time-varying Lotka-Volterra predator-prey systems ⋮ Attraction region for the classical Lotka-Volterra predator-prey model caused by impulsive effects ⋮ Homoclinic orbits in predator-prey systems with a nonsmooth prey growth rate ⋮ Uniform global asymptotic stability for nonautonomous nonlinear dynamical systems ⋮ Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models
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