Asymptotic behavior of solutions for a class of predator-prey reaction-diffusion systems with time delays

DOI10.1016/j.jmaa.2006.05.020zbMath1112.35106OpenAlexW2131154051WikidataQ115570451 ScholiaQ115570451MaRDI QIDQ864680

Yuan-Ming Wang

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.020

zbMATH Keywords

upper and lower solutionsNeumann boundary conditionsthree species

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Partial functional-differential equations (35R10)

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Stability and traveling fronts for a food chain reaction-diffusion systems with nonlocal delays ⋮ Stability analysis of impulsive parabolic complex networks ⋮ The diffusive Lotka-Volterra predator-prey system with delay ⋮ Quasilinear parabolic and elliptic systems with mixed quasimonotone functions ⋮ Stability and passivity of spatially and temporally complex dynamical networks with time-varying delays ⋮ Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes. ⋮ A note on Hopf bifurcations in a delayed diffusive Lotka-Volterra predator-prey system ⋮ Global attractors of some predator-prey reaction-diffusion systems with density-dependent diffusion and time-delays ⋮ Systems of quasilinear parabolic equations with discontinuous coefficients and continuous delays ⋮ Competitive exclusion and coexistence of a delayed reaction-diffusion system modeling two predators competing for one prey ⋮ Stability and Hopf bifurcation for a three-species food chain model with time delay and spatial diffusion ⋮ Travelling waves of a three-species Lotka-Volterra food-chain model with spatial diffusion and time delays ⋮ Coexistence of Periodic Oscillations Induced by Predator Cannibalism in a Delayed Diffusive Predator–Prey Model ⋮ GLOBAL STABILITY AND HOPF BIFURCATION IN A DELAYED DIFFUSIVE LESLIE–GOWER PREDATOR–PREY SYSTEM

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