Permanence and global attractivity of the discrete Gilpin-Ayala type population model

DOI10.1016/j.camwa.2006.12.015zbMath1127.92038OpenAlexW1977945331MaRDI QIDQ2468905

Zhong Li, Liping Wu, Fengde Chen

Publication date: 30 January 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.12.015

zbMATH Keywords

nonautonomouspositive periodic solutionGilpin-Ayala competition model

Mathematics Subject Classification ID

Related Items (22)

Extinction and almost periodic solutions of a discrete Gilpin–Ayala type population model ⋮ Permanence and global attractivity of a discrete Schoener's competition model with delays ⋮ Positive periodic solution of the discrete Lasota–Wazewska model with impulse ⋮ The persistence and global attractivity in general nonautonomous discrete single-species Kolmogorov model with delays ⋮ Dynamics of a delayed discrete semi-ratio-dependent predator-prey system with Holling type IV functional response ⋮ Extinction in two-species nonlinear discrete competitive system ⋮ Non-permanence for three-species Lotka-Volterra cooperative difference systems ⋮ Permanence and almost periodic solutions of a discrete ratio-dependent Leslie system with time delays and feedback controls ⋮ Almost periodic solutions of a discrete almost periodic logistic equation ⋮ Almost periodic solutions of a discrete Lotka-Volterra competition system with delays ⋮ Almost sufficient and necessary conditions for permanence and extinction of nonautonomous discrete logistic systems with time-varying delays and feedback control. ⋮ Permanence and ergodicity of stochastic Gilpin-Ayala population model with regime switching ⋮ On the stability in a discrete two-species competition system ⋮ Dynamics of a non-autonomous stochastic Gilpin-Ayala model ⋮ Asymptotic stability criterion for nonlinear monotonic systems and its applications (review) ⋮ Permanence and global attractivity of a delayed discrete predator-prey system with general Holling-type functional response and feedback controls ⋮ Dynamic behaviors of a general discrete nonautonomous system of plankton allelopathy with delays ⋮ Permanence of a discrete periodic Volterra model with mutual interference ⋮ Permanence and global attractivity of discrete predator-prey system with Hassell-Varley type functional response ⋮ Permanence of a discrete nonlinear prey-competition system with delays ⋮ Permanence and global attractivity of a discrete two-prey one-predator model with infinite delay ⋮ PERMANENCE IN NONAUTONOMOUS DISCRETE LOTKA–VOLTERRA n-SPECIES COMPETITIVE SYSTEMS WITH PURE-DELAYS AND FEEDBACK CONTROLS

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