Dynamics of a generalized nonlocal dispersion SIS epidemic model

Salih Djilali, Soufiane Bentout, Abdessamad Tridane

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

This paper explores a generalized nonlocal dispersion SIS epidemic model subject to the Neumann boundary conditions and spatial heterogeneity. We use a convolution operator to describe the nonlocal spatial movements of individuals. Our primary goal is to investigate this model, focusing on a generalized incidence function, which presents an additional challenge in the model analysis. This model’s basic reproduction number, R0, is identified, and it is proved that 1-R0 has the same sign as the principal eigenvalue of a generalized linear nonlocal operator. Furthermore, the asymptotic profiles of R0 in terms of dispersion coefficients are also established. We also investigate the existence and uniqueness of an endemic steady state for R0>1, and we study the large dispersal rates effect on the asymptotic profiles of the steady endemic state. Finally, we discussed the global asymptotic behavior of the solution for different dispersal coefficients.

Original languageEnglish
Article number83
JournalJournal of Evolution Equations
Volume24
Issue number4
DOIs
Publication statusPublished - Dec 2024

Keywords

  • 35B40
  • 45A05
  • 45F05
  • 92D30
  • Neumann boundary conditions
  • Nonlinear incidence function
  • Nonlocal dispersion
  • SIS model

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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