Convergence in Lotka-Volterra type diffusive delay systems without dominating instantaneous negative feedbacks

DOI10.1017/S0334270000009036zbMath0807.35149MaRDI QIDQ4694576

Yang Kuang, Hal Leslie Smith

Publication date: 1 March 1995

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

infinite delaychain modelcompetition modelasymptotically stabilitydiffusive delay systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Partial functional-differential equations (35R10)

Related Items (10)

Global analyses in some delayed ratio-dependent predator-prey systems ⋮ Travelling wave and global attractivity in a competition-diffusion system with nonlocal delays ⋮ Hopf bifurcation in a diffusive logistic equation with mixed delayed and instantaneous density dependence ⋮ Global attractivity of non-autonomous Lotka-Volterra competition system without instantaneous negative feedback. ⋮ A non-local delayed and diffusive predator-prey model. ⋮ Stability analysis of a stage structure model with spatiotemporal delay effect ⋮ Stability and Hopf bifurcation for a three-species food chain model with time delay and spatial diffusion ⋮ Multiple spatiotemporal coexistence states and Turing-Hopf bifurcation in a Lotka-Volterra competition system with nonlocal delays ⋮ Persistence and extinction in two species reaction-diffusion systems with delays ⋮ \({3/2}\)-type criteria for global attractivity of Lotka--Volterra competition system without instantaneous negative feedbacks

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