361 citations · 639 across the 9 of their papers we have counts for
5 papers · 1 filter
Age-structured Models with Nonlocal Diffusion of Dirichlet Type, I: Principal Spectral Theory and Limiting Properties
Arnaud Ducrot, Hao Kang, Shigui Ruan
Age-structured models with nonlocal diffusion arise naturally in describing the population dynamics of biological species and the transmission dynamics of infectious diseases in wh…
Spatial Propagation in an Epidemic Model with Nonlocal Diffusion: the Influences of Initial Data and Dispersals
Wen-Bing Xu, Wan-Tong Li, Shigui Ruan
This paper studies an epidemic model with nonlocal dispersals. We focus on the influences of initial data and nonlocal dispersals on its spatial propagation. Here the initial data…
Spatial Propagation in Nonlocal Dispersal Fisher-KPP Equations
Wen-Bing Xu, Wan-Tong Li, Shigui Ruan
In this paper we focus on three problems about the spreading speeds of nonlocal dispersal Fisher-KPP equations. First, we study the signs of spreading speeds and find that they are…
A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia
Mostafa Adimy, Fabien Crauste, Shigui Ruan
This paper is devoted to the analysis of a mathematical model of blood cells production in the bone marrow (hematopoiesis). The model is a system of two age-structured partial diff…
Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
Mostafa Adimy, Fabien Crauste, Shigui Ruan
We study a mathematical model describing the dynamics of a pluripotent stem cell population involved in the blood production process in the bone marrow. This model is a differentia…