Traveling wave solutions for a class of predator-prey systems
From MaRDI portal
Publication:715729
DOI10.1007/s10884-012-9255-4zbMath1365.35056OpenAlexW2086026484WikidataQ115603972 ScholiaQ115603972MaRDI QIDQ715729
Publication date: 31 October 2012
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-012-9255-4
traveling wave solutionsreaction-diffusion equationsminimum wave speeddiffusive predator-prey models
Related Items (61)
The spreading speed and the existence of planar waves for a class of predator-prey system with nonlocal diffusion ⋮ Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems * ⋮ Dynamics of a predator-prey system with three species ⋮ Traveling wave solutions for a class of reaction-diffusion system ⋮ Traveling waves in cooperative predation: relaxation of sublinearity ⋮ Stability and traveling waves in a Beddington-DeAngelis type stage-structured predator-prey reaction-diffusion systems with nonlocal delays and harvesting ⋮ Traveling waves for a nonlocal dispersal predator-prey model with two preys and one predator ⋮ Traveling wave solutions for some classes of diffusive predator-prey models ⋮ Wave propagation in predator–prey systems ⋮ Traveling wave solutions of a diffusive ratio-dependent Holling-Tanner system with distributed delay ⋮ Traveling wave solutions for diffusive predator-prey type systems with nonlinear density dependence ⋮ On the mathematical modelling of competitive invasive weed dynamics ⋮ Traveling wave solutions in predator–prey models with competition ⋮ Traveling waves for a generalized Holling-Tanner predator-prey model ⋮ Traveling waves for a reaction-diffusion model with a cyclic structure ⋮ Convergence and traveling wave solutions for a predator-prey system with distributed delays ⋮ Spreading speeds for the predator-prey system with nonlocal dispersal ⋮ Wavefront solutions of degenerate quasilinear reaction-diffusion systems with mixed quasi-monotonicity ⋮ Traveling waves of nonlocal delayed disease models: critical wave speed and propagation speed ⋮ Traveling wave solutions for a diffusive predator–prey model with predator saturation and competition ⋮ Convergence to traveling waves in reaction-diffusion systems with equal diffusivities ⋮ Traveling waves of predator-prey system with a sedentary predator ⋮ Traveling waves in epidemic models: non-monotone diffusive systems with non-monotone incidence rates ⋮ A migration-selection model in genetic engineering ⋮ Analytical and numerical detection of traveling wave and wave-train solutions in a prey-predator model with weak Allee effect ⋮ A geometric approach in the study of traveling waves for some classes of non-monotone reaction-diffusion systems ⋮ Minimal wave speed for a class of non-cooperative diffusion-reaction system ⋮ Global dynamics and traveling wave solutions for a three‐species model ⋮ Traveling wave solutions for a diffusive three-species intraguild predation model ⋮ Traveling waves of a diffusive SIR epidemic model with a class of nonlinear incidence rates and distributed delay ⋮ Forced waves of a three species predator-prey system with a pair of weak-strong competing preys in a shifting environment ⋮ Invasion traveling wave solutions of a predator-prey system ⋮ Periodic traveling wave of a time periodic and diffusive epidemic model with nonlocal delayed transmission ⋮ Existence of traveling wave solutions for cholera model ⋮ A reaction-diffusion model of dengue transmission ⋮ Traveling waves in a stage-structured predator-prey model with Holling type functional response ⋮ Wave propagation for a class of non-local dispersal non-cooperative systems ⋮ Existence and non-monotonicity of traveling wave solutions for general diffusive predator-prey models ⋮ Point to point traveling wave and periodic traveling wave induced by Hopf bifurcation for a diffusive predator-prey system ⋮ Periodic traveling wave train and point-to-periodic traveling wave for a diffusive predator-prey system with Ivlev-type functional response ⋮ Traveling wave solutions in a diffusive system with two preys and one predator ⋮ Generalized traveling waves for time-dependent reaction-diffusion systems ⋮ Time periodic traveling waves for a periodic and diffusive SIR epidemic model ⋮ Travelling wave solutions in a predator–prey integrodifference system ⋮ Minimal wave speed for a class of non-cooperative reaction-diffusion systems of three equations ⋮ Minimum wave speeds in monostable reaction–diffusion equations: sharp bounds by polynomial optimization ⋮ Traveling waves for a reaction-diffusion-advection predator-prey model ⋮ Traveling waves in spatial SIRS models ⋮ Traveling wave solutions in a diffusive producer-scrounger model ⋮ Global dynamics and travelling wave solutions for a class of non-cooperative reaction-diffusion systems with nonlocal infections ⋮ Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal ⋮ Traveling waves for a periodic Lotka–Volterra predator–prey system ⋮ Minimal wave speed of a bacterial colony model ⋮ Asymptotic stability of two types of traveling waves for some predator-prey models ⋮ Traveling waves in a nonlocal dispersal predator-prey model ⋮ Spreading speeds for multidimensional reaction-diffusion systems of the prey -- predator type ⋮ Traveling wave solutions of Lotka–Volterra type two predators‐one prey model ⋮ Global dynamics and travelling waves for a periodic and diffusive chemostat model with two nutrients and one microorganism ⋮ Traveling wave solutions for Gause type predator-prey systems with density dependence: a heteroclinic orbit in \(\mathbb R^4\) ⋮ Traveling Wave Solutions for Some Three-Species Predator-Prey Systems ⋮ Large speed traveling waves for the Rosenzweig-MacArthur predator-prey model with spatial diffusion
Cites Work
- Unnamed Item
- Unnamed Item
- Non-linear determinacy of minimum wave speed for a Lotka-Volterra competition model
- Traveling wave solutions for a predator-prey system with sigmoidal response function
- Bifurcation analysis of a plant-herbivore model with toxin-determined functional response
- Travelling wave solutions of diffusive Lotka-Volterra equations
- Spreading speed and linear determinacy for two-species competition models
- Existence of traveling wave solutions in a diffusive predator-prey model
- Traveling waves in a diffusive predator-prey model with Holling type-III functional response
- Spreading speeds as slowest wave speeds for cooperative systems
- Travelling Waves in Predator-Prey Systems
- Traveling Wave Solutions of Diffusive Lotka-Volterra Equations: A Heteroclinic Connection in R 4
- Long-Time Behavior of a Class of Biological Models
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Propagation of frontal polymerization—crystallization waves
This page was built for publication: Traveling wave solutions for a class of predator-prey systems
