Global stability and travelling waves of a predator-prey model with diffusion and nonlocal maturation delay

DOI10.1016/j.cnsns.2009.12.031zbMath1222.35099OpenAlexW2035343608WikidataQ115578425 ScholiaQ115578425MaRDI QIDQ720249

Xiao Zhang, Rui Xu

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.12.031

zbMATH Keywords

diffusionglobal stabilitynonlocal delaytravelling wavegeometric singular perturbation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Initial value problems for second-order parabolic systems (35K45) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)

Related Items (7)

Traveling wave solutions of a reaction-diffusion predator-prey model ⋮ Study of periodic diffusion and time delay induced spatiotemporal patterns in a predator-prey system ⋮ Stability and bifurcation of a reaction–diffusion predator–prey model with non-local delay and Michaelis–Menten-type prey-harvesting ⋮ On a predator-prey reaction-diffusion model with nonlocal effects ⋮ Two-patches prey impulsive diffusion periodic predator-prey model ⋮ Embedding dynamical networks into distributed models ⋮ Qualitative analysis for a reaction-diffusion predator-prey model with disease in the prey species

Cites Work

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