Asymptotic speed of spread for a nonlocal evolutionary-epidemic system

DOI10.3934/dcds.2021064zbMath1473.35585OpenAlexW3144697764MaRDI QIDQ2042913

Jean-Baptiste Burie, Lara Abi Rizk, Arnaut Ducrot

Publication date: 22 July 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021064

zbMATH Keywords

population dynamicsevolutionepidemiologylong time behaviournonlocal interactionsspreading speeddiffusive epidemic systemminimal speed

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Plant biology (92C80) Integro-partial differential equations (35R09)

Related Items (7)

Spreading properties for non-autonomous Fisher-KPP equations with non-local diffusion ⋮ Spreading speeds in two reaction-diffusion models for Polio disease ⋮ Global Dynamics of a Spore Producing Pathogens Epidemic System with Nonlocal Diffusion Process ⋮ Spreading speed and traveling wave solutions of a reaction-diffusion Zika model with constant recruitment ⋮ Propagation thresholds in a diffusive epidemic model with latency and vaccination ⋮ Evolutionary dynamics in an SI epidemic model with phenotype-structured susceptible compartment ⋮ Spreading speed for an epidemic system modelling plant disease with adaptation

Cites Work

• Unnamed Item
• Existence and qualitative properties of travelling waves for an epidemiological model with mutations
• Spatial propagation for a two component reaction-diffusion system arising in population dynamics
• Traveling waves and entire solutions for an epidemic model with asymmetric dispersal
• Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators
• Mathematics for life science and medicine.
• Banach lattices
• Run for your life. A note on the asymptotic speed of propagation of an epidemic
• Uniform persistence and permanence for non-autonomous semiflows in population biology
• The spreading speed for a predator-prey model with one predator and two preys
• The evolution of plant pathogens in response to host resistance: factors affecting the gain from deployment of qualitative and quantitative resistance
• Asymptotic spreading in a Lotka-Volterra predator-prey system
• Propagation phenomena for a two-species Lotka-Volterra strong competition system with nonlocal dispersal
• Spreading speeds for multidimensional reaction-diffusion systems of the prey -- predator type
• The spreading speed and the minimal wave speed of a predator-prey system with nonlocal dispersal
• Travelling wave solutions for a non-local evolutionary-epidemic system
• The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries
• Steady state concentration for a phenotypic structured problem modeling the evolutionary epidemiology of spore producing pathogens
• Persistence in Infinite-Dimensional Systems
• Non-cooperative Fisher–KPP systems: Asymptotic behavior of traveling waves
• Non-cooperative Fisher–KPP systems: traveling waves and long-time behavior
• Travelling waves of a diffusive Kermack–McKendrick epidemic model with non-local delayed transmission
• The spreading speed of an SIR epidemic model with nonlocal dispersal
• Asymptotic spreading speeds for a predator–prey system with two predators and one prey
• The Effect of Dispersal Patterns on Stream Populations
• Global Attractors and Steady States for Uniformly Persistent Dynamical Systems

This page was built for publication: Asymptotic speed of spread for a nonlocal evolutionary-epidemic system