Threshold analysis for a diffusive SIS epidemic model with infection-age
Salih Djilali1, Soufiane Bentout2, Toshikazu Kuniya3
1Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University, Chlef, 020000, Algeria.
Abstract:
This study investigates a diffusive infection age-structured SIS epidemic model with a Neumann boundary condition, which is a generalization of the model studied in [Allen et al., Asymptotic profiles of the steady states for an SIS epidemic reaction diffusion model, Discrete and Continuous Dynamical Systems Series A 21 (2008) 1-20]. We define the basic reproduction number R0 by identifying the next generation operator, and show that for R0 < 1, the solution tends to a unique disease free steady state, and for R0 > 1, there is at least one nonnegative steady state.
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