An SIS epidemic model with diffusion

DOI10.1007/s11766-017-3460-1zbMath1389.35064OpenAlexW2621144957MaRDI QIDQ681029

Danxia Chen, Zhi Ting Xu

Publication date: 29 January 2018

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-017-3460-1

zbMATH Keywords

global stabilitylocal stabilitySIS epidemic modeltraveling wave solutiondiffusive

Mathematics Subject Classification ID

Epidemiology (92D30) Stability in context of PDEs (35B35) Traveling wave solutions (35C07)

Related Items (6)

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Cites Work

• Unnamed Item
• Unnamed Item
• Traveling wave phenomena in a Kermack-McKendrick SIR model
• Traveling waves of diffusive predator-prey systems: disease outbreak propagation
• Traveling waves in a Kermack-Mckendrick epidemic model with diffusion and latent period
• Spreading speed and traveling waves for a multi-type SIS epidemic model
• Traveling waves of a diffusive SIR epidemic model with a class of nonlinear incidence rates and distributed delay
• Geometric theory of semilinear parabolic equations
• Theory and applications of partial functional differential equations
• Qualitative analysis and travelling wave solutions for the SI model with vertical transmission
• Traveling waves in spatial SIRS models
• Existence of traveling wave solutions for influenza model with treatment
• Traveling waves of a delayed diffusive SIR epidemic model
• On the global stability of SIS, SIR and SIRS epidemic models with standard incidence
• Traveling wave solutions of a nonlocal delayed SIR model without outbreak threshold
• The Mathematics of Infectious Diseases
• Travelling wave solutions for an infection-age structured epidemic model with external supplies
• Abstract Functional Differential Equations and Reaction-Diffusion Systems
• Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
• Travelling waves of a diffusive Kermack–McKendrick epidemic model with non-local delayed transmission
• Models for transmission of disease with immigration of infectives

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