Existence of traveling wave solutions in a stage structured cooperative system on higher-dimensional lattices

DOI10.1216/RMJ-2019-49-5-1617zbMath1426.37056OpenAlexW2973880068MaRDI QIDQ2326035

Yanyan Li

Publication date: 4 October 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1568880093

zbMATH Keywords

Schauder's fixed point theoremupper and lower solutionsstage structuretraveling wave solutionhigher-dimensional lattice

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Boundary value problems for functional-differential equations (34K10) Traveling wave solutions (35C07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wave propagation for a reaction-diffusion model with a quiescent stage on a 2D spatial lattice
• Traveling waves in delayed lattice dynamical systems with competition interactions
• Traveling wave front for a two-component lattice dynamical system arising in competition models
• Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays
• Spreading speed and traveling wavefront of an age-structured populationdiffusing in a 2D lattice strip
• Traveling waves in lattice dynamical systems
• The Fredholm alternative for functional-differential equations of mixed type
• The global structure of traveling waves in spatially discrete dynamical systems
• Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations
• Traveling wave solutions for planar lattice differential systems with applications to neural networks
• Traveling wave solutions in delayed lattice differential equations with partial monotonicity
• Extinction and permanence in nonautonomous competitive systems with stage structure.
• Monotone travelling fronts in an age-structured reaction-diffusion model of a single species
• Existence of traveling wave fronts of delayed lattice differential equations
• A stage structured predator-prey model and its dependence on maturation delay and death rate
• Nonlinear stability of wavefronts for a delayed stage-structured population model on a 2-D lattice
• Traveling Waves Connecting Equilibrium and Periodic Orbit for a Delayed Population Model on a Two-Dimensional Spatial Lattice
• Monotone wave-fronts in a structured population model with distributed maturation delay
• PROPAGATING INTERFACES IN A TWO-LAYER BISTABLE NEURAL NETWORK
• Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
• Stability and Traveling Fronts in Lotka-Volterra Competition Models with Stage Structure
• A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
• Wavefronts and global stability in a time-delayed population model with stage structure
• Analysis of a Delayed Two-Stage Population Model with Space-Limited Recruitment
• Travelling waves in delayed reaction–diffusion equations on higher dimensional lattices
• A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay

This page was built for publication: Existence of traveling wave solutions in a stage structured cooperative system on higher-dimensional lattices