An SIR epidemic model with nonlocal diffusion, nonlocal infection and free boundaries

DOI10.1016/j.jmaa.2022.126731zbMath1501.35419OpenAlexW4298008759MaRDI QIDQ2091040

Guo Ying Yang, Mingxin Wang, Shao-Wen Yao

Publication date: 31 October 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126731

zbMATH Keywords

nonlocal diffusionSIR modelspreading and vanishingfree boundariesnonlocal infection

Mathematics Subject Classification ID

Epidemiology (92D30) Integro-partial differential equations (45K05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Free boundary problems for PDEs (35R35) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

The monostable cooperative system with nonlocal diffusion and free boundaries

Cites Work

• On the definition and the properties of the principal eigenvalue of some nonlocal operators
• On eigenvalue problems arising from nonlocal diffusion models
• Dynamics of a nonlocal SIS epidemic model with free boundary
• Entire solutions in nonlocal dispersal equations with bistable nonlinearity
• On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
• Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
• A nonlocal SIS epidemic problem with double free boundaries
• Two species nonlocal diffusion systems with free boundaries
• A nonlocal SIR epidemic problem with double free boundaries
• The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries
• On some free boundary problems of the prey-predator model
• Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity

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