Pulses and waves for a bistable nonlocal reaction-diffusion equation

DOI10.1016/j.aml.2014.12.011zbMath1435.35200OpenAlexW1995329359MaRDI QIDQ2344454

Vitaly A. Volpert

Publication date: 15 May 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2014.12.011

zbMATH Keywords

wavespulsesnonlocal reaction-diffusion equations

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)

Related Items (18)

Pattern Formation in a Prey-Predator Model with Nonlocal Interaction Terms ⋮ Existence of Pulses for Monotone Reaction-Diffusion Systems ⋮ Prey-predator model with a nonlocal bistable dynamics of prey ⋮ Bifurcation scenario of Turing patterns in prey-predator model with nonlocal consumption in the prey dynamics ⋮ Method of monotone solutions for reaction-diffusion equations ⋮ Existence of pulses for local and nonlocal reaction-diffusion equations ⋮ Prey-predator model with a nonlocal consumption of prey ⋮ Prey-predator model with nonlocal and global consumption in the prey dynamics ⋮ Biological populations as stationary distributions in the space of genotypes ⋮ Solvability and microlocal analysis of the fractional Eringen wave equation ⋮ Existence and Dynamics of Strains in a Nonlocal Reaction-Diffusion Model of Viral Evolution ⋮ Global boundedness and the Allee effect in a nonlocal bistable reaction-diffusion equation in population dynamics ⋮ Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal ⋮ Doubly nonlocal reaction-diffusion equations and the emergence of species ⋮ Preface to the Issue Nonlocal Reaction-Diffusion Equations ⋮ Spatio-temporal Bazykin's model with space-time nonlocality ⋮ Global dynamics of the solution for a bistable reaction diffusion equation with nonlocal effect ⋮ Breathers and rogue waves for a third order nonlocal partial differential equation by a bilinear transformation

Cites Work

• Bistable travelling waves for nonlocal reaction diffusion equations
• Travelling waves for integro-differential equations in population dynamics
• Existence of stationary pulses for nonlocal reaction-diffusion equations
• Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation
• Competition of Species with Intra-Specific Competition
• Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation
• Mathematics of Darwin’s Diagram
• Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources
• The non-local Fisher–KPP equation: travelling waves and steady states
• Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
• The Stability and Slow Dynamics of Two-Spike Patterns for a Class of Reaction-Diffusion System
• Elliptic Partial Differential Equations

This page was built for publication: Pulses and waves for a bistable nonlocal reaction-diffusion equation