Dynamical behaviors of a partial-dependent predator--prey system

DOI10.1016/j.chaos.2005.05.002zbMath1083.37532OpenAlexW2054176604WikidataQ115580046 ScholiaQ115580046MaRDI QIDQ813586

Zunshui Cheng, Yiping Lin, Cao, Jinde

Publication date: 13 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.05.002

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (10)

Dynamics of a discrete-time predator-prey system ⋮ Complex dynamics in a discrete-time predator-prey system without Allee effect ⋮ On the nature of bifurcation in a ratio-dependent predator-prey model with delays ⋮ Allee effect in a discrete-time predator-prey system ⋮ Existence of self-oscillation for a class of nonlinear discrete-time systems ⋮ Multiple periodic solutions of a delayed predator–prey model with non-monotonic functional response and stage structure ⋮ Existence and uniqueness of limit cycle for a class of nonlinear discrete-time systems ⋮ Some chaotic behaviors in a MCA learning algorithm with a constant learning rate ⋮ The existence of the exponentially stable limit cycle for a class of nonlinear systems ⋮ Limit cycles design for a class of bilinear control systems

Cites Work

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• Permanence and global stability for general Lotka-Volterra predator-prey systems with distributed delays.
• Conditions for global attractivity of \(n\)-patches predator-prey dispersion-delay models
• Cycles, chaos, and noise in predator-prey dynamics

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