Spreading speeds for multidimensional reaction-diffusion systems of the prey -- predator type
type: Item
instance of: scholarly article
title: Spreading speeds for multidimensional reaction-diffusion systems of the prey -- predator type
zbMATH Open document ID: 1418.35230
author: Thomas Giletti
author: Hiroshi Matano
author: Arnaud Ducrot
published in: Calculus of Variations and Partial Differential Equations
publication date: 2019-07-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/1907.02592
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7081777
MaRDI profile type: Publication
OpenAlex ID: W2963376854
Wikidata QID: Q115606485
arXiv ID: 1907.02592
cites work: Multidimensional nonlinear diffusion arising in population genetics
cites work: Q3057559
cites work: Asymptotic spreading in heterogeneous diffusive excitable media
cites work: Some results on global stability of a predator-prey system
cites work: Convergence to generalized transition waves for some Holling-Tanner prey-predator reaction-diffusion system
cites work: Spatial propagation for a two component reaction-diffusion system arising in population dynamics
cites work: Travelling wave solutions of diffusive Lotka-Volterra equations
cites work: Traveling Waves in Diffusive Predator–Prey Equations: Periodic Orbits and Point-to-Periodic Heteroclinic Orbits
cites work: Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations
cites work: Existence and uniqueness of traveling waves for non-monotone integral equations with applications
cites work: A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
cites work: Existence of Travelling Wave Solutions of Predator–Prey Systems via the Connection Index
cites work: Stability of Travelling Wave Solutions of Diffusive Predator-Prey Systems
cites work: Existence of traveling wave solutions in a diffusive predator-prey model
cites work: Traveling wave solutions for a class of predator-prey systems
cites work: Q5768532
cites work: Spreading speed and linear determinacy for two-species competition models
cites work: Spreading speeds as slowest wave speeds for cooperative systems
cites work: Traveling wave solutions for diffusive predator-prey type systems with nonlinear density dependence
cites work: Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
cites work: Spreading speeds and traveling waves for periodic evolution systems
cites work: Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
cites work: How predation can slow, stop or reverse a prey invasion
cites work: Q3066573
cites work: Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
cites work: Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
cites work: Spreading speeds and traveling waves for non-cooperative integro-difference systems
cites work: On spreading speeds and traveling waves for growth and migration models in a periodic habitat
cites work: Spreading speeds for a partially cooperative 2-species reaction-diffusion model
DOI: 10.1007/S00526-019-1576-2
Recommended article: Spreading speeds for time heterogeneous prey-predator systems with diffusion
Recommended article: Spreading speeds for the predator-prey system with nonlocal dispersal
Recommended article: The spreading property for a prey-predator reaction-diffusion system with fractional diffusion
Recommended article: The spreading speed and the existence of planar waves for a class of predator-prey system with nonlocal diffusion
Recommended article: Spreading speed in an integrodifference predator-prey system without comparison principle
Recommended article: The spreading speed and the minimal wave speed of a predator-prey system with nonlocal dispersal
Recommended article: Asymptotic spreading speeds for a predator–prey system with two predators and one prey
Recommended article: Spreading speeds for reaction-diffusion equations with a shifting habitat
Recommended article: Spreading speeds of a partially degenerate reaction-diffusion system in a periodic habitat
Recommended article: Spreading speeds of a Lotka-Volterra predator-prey system: The role of the predator
description: scientific article