Generalized traveling waves for time-dependent reaction-diffusion systems

DOI10.1007/s00208-020-01998-3zbMath1475.35100OpenAlexW3020771615MaRDI QIDQ2235206

B. Ambrosio, Shigui Ruan, Arnaut Ducrot

Publication date: 21 October 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-020-01998-3

zbMATH Keywords

predator-prey systemsgeneral time-heterogeneous environmentsusceptible-infectious epidemic modeltwo-component time-dependent non-cooperative reaction-diffusion system

Mathematics Subject Classification ID

Epidemiology (92D30) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Traveling wave solutions (35C07)

Related Items (17)

Periodic wave propagation in a diffusive SIR epidemic model with nonlinear incidence and periodic environment ⋮ Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems ^* ⋮ Spreading speed and periodic traveling waves of a time periodic and diffusive SI epidemic model with demographic structure ⋮ Adaptation to DNA damage, an asymptotic approach for a cooperative non-local system ⋮ Generalized travelling fronts for non-autonomous Fisher-KPP equations with nonlocal diffusion ⋮ Spatial dynamics for a time-periodic epidemic model in discrete media ⋮ Spreading properties for non-autonomous Fisher-KPP equations with non-local diffusion ⋮ Front propagation and blocking of time periodic bistable reaction-diffusion equations in cylindrical domains ⋮ Time-periodic traveling wave solutions of a reaction-diffusion Zika epidemic model with seasonality ⋮ Wave propagation in a diffusive epidemic model with demography and time-periodic coefficients ⋮ Numerical solution of reaction-diffusion equations with convergence analysis ⋮ Spreading speeds for time heterogeneous prey-predator systems with diffusion ⋮ Spreading speed and traveling wave solutions of a reaction-diffusion Zika model with constant recruitment ⋮ Spreading speed in an asymptotic autonomous system with application to a diffusive stage-structured SLIRM model ⋮ Propagation dynamics for a time-periodic reaction-diffusion SI epidemic model with periodic recruitment ⋮ Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies ⋮ Spreading speeds and traveling waves for a time periodic DS-I-A epidemic model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spatial propagation for a two component reaction-diffusion system arising in population dynamics
• Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients
• Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka-Volterra competition system with diffusion
• Propagation phenomena for time heterogeneous KPP reaction-diffusion equations
• Traveling wave solutions for a class of predator-prey systems
• Traveling fronts in space-time periodic media
• A geometric approach in the study of traveling waves for some classes of non-monotone reaction-diffusion systems
• Traveling wave solutions for time periodic reaction-diffusion systems
• Time periodic traveling waves for a periodic and diffusive SIR epidemic model
• Transition fronts of time periodic bistable reaction-diffusion equations in \(\mathbb{R}^N\)
• Existence of traveling wave solutions in a diffusive predator-prey model
• Spreading speeds for multidimensional reaction-diffusion systems of the prey -- predator type
• Existence and stability of time periodic traveling waves for a periodic bistable Lotka-Volterra competition system
• Invasion traveling wave solutions of a predator-prey system
• Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems
• Travelling wave solutions for a non-local evolutionary-epidemic system
• Admissible speeds of transition fronts for nonautonomous monostable equations
• Travelling Waves for Mutualist Species
• Existence of Travelling Wave Solutions of Predator–Prey Systems via the Connection Index
• Thresholds and travelling waves in an epidemic model for rabies
• Traveling Waves in Diffusive Predator–Prey Equations: Periodic Orbits and Point-to-Periodic Heteroclinic Orbits
• Periodic traveling waves and locating oscillating patterns in multidimensional domains
• Spatial Ecology via Reaction‐Diffusion Equations
• TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
• Traveling waves for a periodic Lotka–Volterra predator–prey system
• Stability of transition waves and positive entire solutions of Fisher-KPP equations with time and space dependence
• Dynamical systems in population biology
• Pulsating fronts for bistable on average reaction-diffusion equations in a time periodic environment

This page was built for publication: Generalized traveling waves for time-dependent reaction-diffusion systems