Dynamics of a host-parasitoid model with prolonged diapause for parasitoid

DOI10.1016/j.cnsns.2010.03.011zbMath1221.37208OpenAlexW2000910031MaRDI QIDQ718340

Min Zhao, Jun Zhu, Li-Min Zhang

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.03.011

zbMATH Keywords

chaosasymptotic stabilityhostparasitoidprolonged diapause

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability theory for difference equations (39A30)

Related Items (14)

Bifurcation analysis and chaos control in a discrete-time parasite-host model ⋮ Analytical bifurcation behaviors of a host-parasitoid model with Holling type III functional response ⋮ Complex dynamic behavior of three-species ecological model with impulse perturbations and seasonal disturbances ⋮ Stability, bifurcation analysis, and chaos control of a discrete bioeconomic model ⋮ Mathematical and dynamic analysis of a prey-predator model in the presence of alternative prey with impulsive state feedback control ⋮ Stability and bifurcation analysis in a host-parasitoid model with Hassell growth function ⋮ Discrete-time predator-prey model with bifurcations and chaos ⋮ Nonlinear dynamic in an ecological system with impulsive effect and optimal foraging ⋮ Modeling and analysis of a modified Leslie-gower type three species food chain model with an impulsive control strategy ⋮ Dynamic complexities in a discrete predator-prey system with lower critical point for the prey ⋮ Stability, Analytic Bifurcation Structure and Chaos Control in a Mutual Interference Host-Parasitoid Model ⋮ Dynamic complexity of an Ivlev-type prey-predator system with impulsive state feedback control ⋮ Bifurcations and chaos control in a discrete-time biological model ⋮ Seasonally perturbed prey-predator ecological system with the Beddington-DeAngelis functional response

Cites Work

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• Dynamic complexity of a host-parasitoid ecological model with the hassell growth function for the host
• The nonlinear analysis on a discrete host-parasitoid model with pesticidal interference
• Prolonged diapause and the stability of host-parasitoid interactions
• Chaos in functional response host - parasitoid ecosystem models
• Dynamic complexities in a mutual interference host--parasitoid model
• Permanence of host-parasitoid systems.
• A practical method for calculating largest Lyapunov exponents from small data sets
• A host-parasitoid interaction with Allee effects on the host
• Simple mathematical models with very complicated dynamics

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