DYNAMIC BEHAVIOR OF A NONLINEAR SINGLE SPECIES DIFFUSIVE SYSTEM

DOI10.1142/S021952590500049XzbMath1163.34360MaRDI QIDQ3373076

Fengde Chen, Shi, Jinlin, Xiao Xing Chen

Publication date: 13 March 2006

Published in: Advances in Complex Systems (Search for Journal in Brave)

zbMATH Keywords

stabilitydiffusionperiodic solutionpermanencenonlinear single species

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) Global stability of solutions to ordinary differential equations (34D23)

Related Items (8)

Dynamic behaviors of a delay differential equation model of plankton allelopathy ⋮ Note on the persistent property of a feedback control system with delays ⋮ On a nonautonomous predator-prey model with prey dispersal ⋮ Permanence and extinction of a three-species ratio-dependent food chain model with delay and prey diffusion ⋮ Permanence, extinction and periodic solution of the predator-prey system with Beddington-DeAngelis functional response and stage structure for prey ⋮ The permanence and extinction of nonlinear growth rate single-species non-autonomous dispersal models with time delays ⋮ Permanence for a delayed predator-prey model of prey dispersal in two-patch environments ⋮ On a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response and diffusion

Cites Work

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• Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models
• Uniform persistence and global asymptotic stability in periodic single-species models of dispersal in a patchy environment
• Conditional persistence in logistic models via nonlinear diffusion
• Permanence and extinction in logistic and Lotka-Volterra systems with diffusion

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