Uniform persistence and global attractivity for nonautonomous competitive systems with nonlinear dispersion and delays

DOI10.1016/S0096-3003(02)00543-XzbMath1026.92046OpenAlexW2061646172MaRDI QIDQ1412523

Xinyu Song, Jing-An Cui

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)00543-x

zbMATH Keywords

dispersionglobal attractivityuniform persistencedelaysLotka-Volterra system

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)

Related Items (3)

Asymptotic behavior of solutions in nonautonomous predator-prey patchy system with Bed\-ding\-ton-type functional response ⋮ Permanence for a class of periodic time-dependent competitive system with delays and dispersal in a patchy-environment ⋮ Persistence for Lotka-Volterra patch-system with time delay

Cites Work

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• Delay differential equations: with applications in population dynamics
• Uniform persistence for population models with time delay using multiple Lyapunov functions
• Persistence and extinction in single-species reaction-diffusion models
• Harmless delays for uniform persistence
• Coexistence of any number of species in the Lotka-Volterra competitive system over two-patches
• Monotone semiflows generated by functional differential equations
• Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay
• Discrete delay, distributed delay and stability switches
• Permanence and positive periodic solutions for Kolmogorov competing species systems
• Uniform persistence in nonautonomous delay differential Kolmogorov-type population models
• Uniform persistence in functional differential equations
• Persistence in Infinite-Dimensional Systems
• Persistence and global asymptotic stability of single species dispersal models with stage structure
• Stability of predation models with time delay
• Limit cycles in two spacies competition with time delays
• Uniform persistence for population interaction models with time delay
• Permanence and global attractivity for competitive Lotka–Volterra systems with delay
• Global Stability in Chemostat-Type Equations with Distributed Delays
• The effect of delays on stability and persistence in plankton models

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