Spreading speed and traveling waves for a nonmonotone reaction-diffusion model with distributed delay and nonlocal effect

DOI10.1016/j.apm.2010.12.011zbMath1219.35124OpenAlexW1970596534MaRDI QIDQ636533

Rong Yuan, Zhi-Xian Yu, Lin-Hong Yao

Publication date: 28 August 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.12.011

zbMATH Keywords

traveling wavesdistributed delayexistence and uniquenessspreading speednonmonotone

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order parabolic systems (35K40) Traveling wave solutions (35C07) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Traveling waves for nonlocal Lotka-Volterra competition systems ⋮ Traveling wave solutions for a neutral reaction-diffusion equation with non-monotone reaction ⋮ The asymptotic periodicity in a Schoener's competitive model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Thresholds and travelling waves for the geographical spread of infection
• Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
• Asymptotic speed of spread and traveling waves for a nonlocal epidemic model
• Existence and uniqueness of traveling waves for non-monotone integral equations with applications
• Asymptotic speed of spread and traveling fronts for a nonlocal reaction-diffusion model with distributed delay
• Traveling wave fronts in reaction-diffusion systems with spatio-temporal delay and applications
• Existence of traveling waves for integral recursions with nonmonotone growth functions
• Spreading speeds for a partially cooperative 2-species reaction-diffusion model
• Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases
• Run for your life. A note on the asymptotic speed of propagation of an epidemic
• Multidimensional nonlinear diffusion arising in population genetics
• Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction--diffusion models.
• Travelling fronts in cylinders
• Spreading speed and linear determinacy for two-species competition models
• On spreading speeds and traveling waves for growth and migration models in a periodic habitat
• Existence and uniqueness of traveling waves for non-monotone integral equations with application
• On the diffusive Nicholson's blowflies equation with nonlocal delay
• Nonmonotone travelling waves in a single species reaction--diffusion equation with delay
• Existence, uniqueness and stability of travelling waves in a discrete reaction --- diffusion monostable equation with delay
• Dynamics of the diffusive Nicholson's blowflies equation with distributed delay
• Long-Time Behavior of a Class of Biological Models
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations
• Dynamical systems in population biology

This page was built for publication: Spreading speed and traveling waves for a nonmonotone reaction-diffusion model with distributed delay and nonlocal effect