Analysis of an SIS reaction-diffusion-chemotaxis epidemic model with gradient-dependent flux limitation and standard incidence.

Autor: Jiao, Zhan, Jadlovská, Irena, Li, Tongxing
Předmět:
Zdroj: Discrete & Continuous Dynamical Systems - Series B; Sep2024, Vol. 29 Issue 9, p1-13, 13p
Abstrakt: In this paper, we are dedicated to an SIS reaction-diffusion-chemotaxis epidemic model with cross-diffusion including gradient-dependent flux limitation and standard incidence in spatially heterogeneous environments. We first establish the existence of the globally bounded classical solution to the corresponding Neumann initial-boundary value problem for arbitrary reasonably regular initial data. Moreover, for initial data of small size, a result concerning global classical solvability is obtained provided that the space-dependent recruitment rate of susceptibles is suitably small. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index