Global asymptotic stability of a periodic ecological model

DOI10.1016/S0096-3003(02)00822-6zbMath1029.92026OpenAlexW1978646237MaRDI QIDQ1412650

Jiandong Zhao, Wencheng Chen

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00822-6

zbMATH Keywords

Periodic solutionLotka-Volterra systemGlobal asymptotic stability

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (21)

Permanence in nonautonomous Lotka-Volterra system with predator-prey ⋮ Existence and global attractivity of an almost periodic ecological model ⋮ Global attractivity in an almost periodic multi-species nonlinear ecological model ⋮ Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition pred\-a\-tor-prey systems ⋮ A predator-prey system with anorexia response ⋮ Uniformly strong persistence of a nonlinear asymptotically periodic multispecies competition predator--prey system with general functional response ⋮ The stationary distribution and extinction of generalized multispecies stochastic Lotka-Volterra predator-prey system ⋮ Periodicity and stability of a nonlinear periodic integro-differential prey-competition model with infinite delays ⋮ Application of Mawhin's coincidence degree and matrix spectral theory to a delayed system ⋮ Average conditions for permanence and extinction in nonautonomous single-species Kolmogorov systems ⋮ Global asymptotic stability of an almost periodic nonlinear ecological model ⋮ Global attractivity of a periodic ecological model with \(m\)-predators and \(n\)-preys by ``Pure-delay type system ⋮ Permanence and global attractivity of the discrete Gilpin-Ayala type population model ⋮ Permanence in nonautonomous multi-species predator--prey system with feedback controls ⋮ Permanence and global stability of nonautonomous Lotka-Volterra system with predator-prey and deviating arguments ⋮ A predator-prey system with viral infection and anorexia response ⋮ Existence, uniqueness and stability of positive periodic solution for a nonlinear prey-competition model with delays ⋮ Almost periodicity in an ecological model with \(M\)-predators and \(N\)-preys by ``pure-delay type system ⋮ Permanence of a nonlinear integro-differential prey-competition model with infinite delays ⋮ Dynamic behaviors of the impulsive periodic multi-species predator-prey system ⋮ On a periodic multi-species ecological model

Cites Work

• A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem
• The qualitative analysis of \(n\)-species Lotka-Volterra periodic competition systems
• Global attractivity of the periodic Lotka-Volterra system
• Global asymptotic stability in a periodic Lotka-Volterra system
• Exchange of equilibria in two species Lotka-Volterra competition models

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