Propagation properties in a multi-species SIR reaction-diffusion system
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Publication:6110193
DOI10.1007/s00285-023-01950-4zbMath1518.35070arXiv2208.00445OpenAlexW4381839299MaRDI QIDQ6110193
Samuel Nordmann, Romain Ducasse
Publication date: 4 July 2023
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.00445
reaction-diffusion systemsepidemiologyspreading speedSIR modelsthreshold phenomenonmulti-species models
Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Second-order parabolic systems (35K40) Pattern formations in context of PDEs (35B36)
Cites Work
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- Convergence to a pulsating travelling wave for an epidemic reaction-diffusion system with non-diffusive susceptible population
- Thresholds and travelling waves for the geographical spread of infection
- Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
- Geometric theory of semilinear parabolic 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.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models
- 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
- Asymptotic spreading of interacting species with multiple fronts. II: Exponentially decaying initial data
- Global analysis of multi-strains SIS, SIR and MSIR epidemic models
- Thresholds and travelling waves in an epidemic model for rabies
- Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
- Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
- TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
- Invasion of open space by two competitors: spreading properties of monostable two‐species competition‐diffusion systems
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