Propagation phenomena for a criss-cross infection model with non-diffusive susceptible population in periodic media

DOI10.3934/dcdsb.2020313zbMath1467.35087OpenAlexW3093733941MaRDI QIDQ2033955

Publication date: 18 June 2021

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2020313

zbMATH Keywords

uniform persistence eigenvalue problems basic reproduction ratio spreading speeds pulsating travelling waves

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Traveling wave solutions (35C07)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Asymptotic behavior of the principal eigenvalue for cooperative elliptic systems and applications
Convergence to a pulsating travelling wave for an epidemic reaction-diffusion system with non-diffusive susceptible population
Convergence to pulsating traveling waves with minimal speed in some KPP heterogeneous problems
Pulsating waves of a partially degenerate reaction-diffusion system in a periodic habitat
Propagation phenomena for A reaction-advection-diffusion competition model in a periodic habitat
Spatial dynamics of a nonlocal and delayed population model in a periodic habitat
A reaction-diffusion malaria model with incubation period in the vector population
Strong positivity in \(C(\bar\Omega)\) for elliptic systems
Travelling wave solutions in multigroup age-structured epidemic models
Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
Spreading speeds and traveling waves for abstract monostable evolution systems
Liouville-type results for semilinear elliptic equations in unbounded domains
Traveling periodic waves in heterogeneous environments
Multidimensional nonlinear diffusion arising in population genetics
A diffusive epidemic model with criss-cross dynamics
Mathematical biology. Vol. 1: An introduction.
Traveling wave solutions in a two-group SIR epidemic model with constant recruitment
Time periodic traveling waves for a periodic and diffusive SIR epidemic model
The speed of propagation for KPP type problems. I: Periodic framework
On spreading speeds and traveling waves for growth and migration models in a periodic habitat
Spreading speeds of rabies with territorial and diffusing rabid foxes
Time periodic traveling wave solutions for a Kermack-McKendrick epidemic model with diffusion and seasonality
Analysis of the periodically fragmented environment model. I: Species persistence
Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
Spreading speeds of a partially degenerate reaction-diffusion system in a periodic habitat
Two-Group Infection Age Model Including an Application to Nosocomial Infection
A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
The Effect of the Schwarz Rearrangement on the Periodic Principal Eigenvalue of a Nonsymmetric Operator
Propagation of Salmonella within an Industrial Hen House
Some dependence results between the spreading speed and the coefficients of the space–time periodic Fisher–KPP equation
The speed of propagation for KPP type problems. II: General domains
Front Propagation in Heterogeneous Media
Spatial and Temporal Dynamics of a Nonlocal Viral Infection Model
Front propagation in periodic excitable media
Traveling Waves for Monotone Semiflows with Weak Compactness
Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
Traveling wave solutions in a two-group epidemic model with latent period
Erratum: Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
Dynamical systems in population biology

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