Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models
DOI10.1016/j.na.2022.112788zbMath1491.45017arXiv1902.01072OpenAlexW2912978066WikidataQ113292817 ScholiaQ113292817MaRDI QIDQ2078594
Publication date: 1 March 2022
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.01072
nonlinear integral equationstraveling wavesepidemiologyintegro-differential systemsanisotropic equationsSIR modelsthreshold phenomenonheterogeneous models
Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions of integral equations (45M15) Asymptotics of solutions to integral equations (45M05) Fredholm integral equations (45B05) Volterra integral equations (45D05) Integro-partial differential equations (35R09)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the definition and the properties of the principal eigenvalue of some nonlocal operators
- Convergence to a pulsating travelling wave for an epidemic reaction-diffusion system with non-diffusive susceptible population
- Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients
- Thresholds and travelling waves for the geographical spread of infection
- Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
- A KPP road-field system with spatially periodic exchange terms
- Functional analysis, Sobolev spaces and partial differential equations
- A model for the spatial spread of an epidemic
- Run for your life. A note on the asymptotic speed of propagation of an epidemic
- Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction--diffusion models.
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Spreading speed for a KPP type reaction-diffusion system with heat losses and fast decaying initial data
- Propagation of epidemics along lines with fast diffusion
- The influence of fractional diffusion in Fisher-KPP equations
- On the principal eigenvalue of elliptic operators in \(\mathbb R^N\) and applications
- Monotone traveling waves for delayed neural field equations
- On the formulation of epidemic models (an appraisal of Kermack and McKendrick)
- Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
- The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
- Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
- Front propagation in periodic excitable media
- TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
- Generalized principal eigenvalues for heterogeneous road–field systems
- Possible velocities for a simple epidemic
This page was built for publication: Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models
