Existence and non-monotonicity of traveling wave solutions for general diffusive predator-prey models
type: Item
instance of: scholarly article
title: Existence and non-monotonicity of traveling wave solutions for general diffusive predator-prey models
zbMATH Open document ID: 1411.35060
author: Cheng-Hsiung Hsu
author: Jian-Jhong Lin
published in: Communications on Pure and Applied Analysis
publication date: 2019-03-21T00:00:00Z
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 37C65
zbMATH DE Number: 7040500
zbMATH Keywords: upper and lower solutions
zbMATH Keywords: contracting rectangle
zbMATH Keywords: Schauder's fixed point theorem
zbMATH Keywords: Ikehara's theorem
zbMATH Keywords: Lotka-Volterra predator-prey model
zbMATH Keywords: Leslie-Gower predator-prey models
MaRDI profile type: Publication
full work available at URL: cpaa.2019071
OpenAlex ID: W2899632861
cites work: Traveling waves for a generalized Holling-Tanner predator-prey model
cites work: Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
cites work: Perron theorem in the monotone iteration method for traveling waves in delayed reaction-diffusion equations
cites work: Traveling wave solutions for some classes of diffusive predator-prey models
cites work: A diffusive predator-prey model in heterogeneous environment
cites work: Asymptotic behaviour of positive steady states to a predator—prey model
cites work: Travelling wave solutions of diffusive Lotka-Volterra equations
cites work: Traveling Wave Solutions of Diffusive Lotka-Volterra Equations: A Heteroclinic Connection in R 4
cites work: Traveling Waves in Diffusive Predator–Prey Equations: Periodic Orbits and Point-to-Periodic Heteroclinic Orbits
cites work: Q3762388
cites work: Existence of Travelling Wave Solutions of Predator–Prey Systems via the Connection Index
cites work: Existence of traveling wave solutions for diffusive predator-prey type systems
cites work: Traveling wave solutions in a diffusive system with two preys and one predator
cites work: Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity
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: A geometric approach in the study of traveling waves for some classes of non-monotone reaction-diffusion systems
cites work: Boundedness and global stability for a predator-prey system with the Beddington-DeAngelis functional response
cites work: Existence of travelling wave solutions in delayed reaction–diffusion systems with applications to diffusion–competition systems
cites work: Traveling waves in a diffusive predator-prey model with Holling type-III functional response
cites work: Invasion traveling wave solutions of a predator-prey system
cites work: Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models
cites work: Traveling wave solutions for a predator-prey system with sigmoidal response function
cites work: Travelling wave solutions in a delayed predator-prey diffusion PDE system point-to-periodic and point-to-point waves
cites work: Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays
cites work: Global dynamics and traveling wave solutions of two predators-one prey models
cites work: Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
cites work: Convergence and traveling wave solutions for a predator-prey system with distributed delays
cites work: Invasion speed of a predator-prey system
cites work: Q4834372
cites work: Traveling waves for a model of the Belousov-Zhabotinsky reaction
cites work: Traveling waves of diffusive predator-prey systems: disease outbreak propagation
cites work: Positive solutions of a diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes
Wikidata QID: Q128826885
DOI: 10.3934/CPAA.2019071
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description: scientific article; zbMATH DE number 7040500