Limit cycles in a generalized Gause-type predator-prey model

DOI10.1016/j.chaos.2006.10.017zbMath1142.34325OpenAlexW2086793470WikidataQ115580008 ScholiaQ115580008MaRDI QIDQ944858

Seyed M. Moghadas, B. D. Corbett

Publication date: 10 September 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.10.017

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25)

Related Items (17)

Existence and uniqueness of the exponentially stable limit cycle for a class of nonlinear systems via time-domain approach with differential inequality ⋮ Complex dynamics in a discrete-time predator-prey system without Allee effect ⋮ Dynamical behavior of two predators-one prey model with generalized functional response and time-fractional derivative ⋮ Multiple bifurcations and dynamics of a discrete time predator-prey system with group defense and non-monotonic functional response ⋮ Allee effect in a discrete-time predator-prey system ⋮ Existence of positive periodic solutions for neutral delay Gause-type predator-prey system ⋮ Multiple periodic solutions of generalized Gause-type predator-prey systems with nonmonotonic numerical responses and impulse ⋮ Bifurcations and dynamics of a discrete predator–prey system ⋮ Double bifurcation for a cubic Kolmogorov model ⋮ Hopf bifurcation of a multiple-delayed predator-prey system with habitat complexity ⋮ Multiple limit cycles in a Gause type predator-prey model with Holling type III functional response and Allee effect on prey ⋮ Existence of a polycycle in non-Lipschitz Gause-type predator-prey models ⋮ Dynamical behavior for an eco-epidemiological model with discrete and distributed delay ⋮ Stability and Bifurcation Analysis of a Delayed Discrete Predator–Prey Model ⋮ Spatiotemporal complexity in a predator-prey model with weak Allee effects ⋮ Behavior of limit cycle bifurcations for a class of quartic Kolmogorov models in a symmetrical vector field ⋮ Multiple periodic solutions in generalized Gause-type predator-prey systems with non-monotonic numerical responses

Cites Work

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• A non-standard numerical scheme for a generalized Gause-type predator--prey model
• Non-existence of periodic solutions of the Liénard system
• Limit cycles in predator-prey models
• Multiple limit cycles for predator-prey models
• Global stability and persistence of simple food chains
• Two-parameter bifurcation in a predator-prey system of Ivlev type
• Uniqueness of limit cycle in the predator-prey system with symmetric prey isocline
• Dynamics of a generalized Gause-type predator-prey model with a seasonal functional response
• Lyapunov functions for a generalized Gause-type model
• A predator-prey model with Ivlev's functional response
• Uniqueness of a Limit Cycle for a Predator-Prey System
• On a predator-prey system of Holling type
• Some Conditions for the Nonexistence of Limit Cycles in a Predator-Prey System

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