Persistence and average persistence of a nonautonomous Kolmogorov system

DOI10.1016/J.CHAOS.2006.04.026zbMath1154.92039OpenAlexW1995895161MaRDI QIDQ939465

Dongmei Xiao, Xinli Han, Zhi-Dong Teng

Publication date: 22 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.04.026

zbMATH Keywords

Lotka-Volterrapredator-prey systemsHolling typeKolmogorovchemostat type

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Stability theory for ordinary differential equations (34D99)

Related Items (6)

Positive solution and its asymptotic behaviour of stochastic functional Kolmogorov-type system ⋮ Kolmogorov-type systems with regime-switching jump diffusion perturbations ⋮ Existence and global attractivity of positive periodic solutions for a delayed predator-prey model with mutual interference and functional response ⋮ Stochastic functional Kolmogorov-type population dynamics ⋮ Stochastic Kolmogorov-Type Population Dynamics with Variable Delay ⋮ Asymptotic properties of stochastic functional Kolmogorov-type system

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• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications
• Persistence criteria for a chemostat with variable nutrient input

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