Traveling front solutions for a diffusive epidemic model with external sources

DOI10.5802/AFST.991zbMath0995.92040OpenAlexW2080438184MaRDI QIDQ1612790

Smaïl Djebali

Publication date: 22 October 2002

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2001_6_10_2_271_0

zbMATH Keywords

topological degreeexistence of traveling waves

Mathematics Subject Classification ID

Epidemiology (92D30) Nonlinear boundary value problems for ordinary differential equations (34B15) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

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• On nonlinear reaction-diffusion systems
• Multidimensional nonlinear diffusion arising in population genetics
• The behavior of solutions of some non-linear diffusion equations for large time
• Asymptotic behavior for a system describing epidemics with migration and spatial spread of infection
• Traveling Wave Solutions to Combustion Models and Their Singular Limits
• Qualitative properties of a nonlinear system for laminar flames without ignition temperature
• TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
• Traveling wave solutions to a reaction-diffusion system arising in epidemiology

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