5 papers
Long-time dynamics and threshold Phenomena for a free-boundary SIS Model with asymmetric kernels in advective periodic environments
Soufiane Bentout, Hoang-Hung Vo
We study a nonlocal SIS epidemic model with free boundaries, advection, and spatial heterogeneity, where the dispersal kernels are not assumed to be symmetric. The model describes…
Spectral Theory of Fractional Cooperative Systems and Threshold Dynamics in Epidemic Models
Cong-Bang Trang, Hoang-Hung Vo
Spectral analysis has long been recognized as a fundamental tool for studying the existence, uniqueness, and qualitative behavior of solutions to semilinear elliptic and parabolic…
Principal spectral theory and asymptotic analysis for time-periodic cooperative systems with temporally nonlocal dispersal
Hao Wu, Wan-Tong Li, Jian-Wen Sun +1
This paper investigates the principal spectral theory and the asymptotic behavior of the principal spectrum point for a class of time-periodic cooperative systems with nonlocal dis…
The eigentheory for nonlocal cooperative-advective system and its role in the study of free boundary system for directional epidemic models
Soufiane Bentout, Hoang-Hung Vo
In this paper, we propose and analyze a nonlocal cooperative reaction--diffusion system with free boundaries and drift terms, motivated by directional epidemic spread. Lacking a va…
Spatio-temporal dynamics of an age-structured reaction-diffusion system of epidemic type subjected by Neumann boundary condition
Cong-Bang Trang, Hoang-Hung Vo
This paper is concerned with the spatio-temporal dynamics of an age-structured reaction-diffusion system of KPP-epidemic type (SIS), subject to Neumann boundary conditions and inco…