361 citations · 639 across the 9 of their papers we have counts for
9 papers
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…
Prevention and control of Zika fever as a mosquito-borne and sexually transmitted disease
Daozhou Gao, Yijun Lou, Daihai He +4
The ongoing Zika virus (ZIKV) epidemic poses a major global public health emergency. It is known that ZIKV is spread by \textit{Aedes} mosquitoes, recent studies show that ZIKV can…
Traveling Wave Solutions for Delayed Reaction-Diffusion Systems and Applications to Lotka-Volterra Competition-Diffusion Models with Distributed Delays
Guo Lin, Shigui Ruan
This paper is concerned with the traveling wave solutions of delayed reaction-diffusion systems. By using Schauder's fixed point theorem, the existence of traveling wave solutions…
The decay rates of Traveling Waves for a class of Nonlocal Evolution Equations
Guangyu Zhao, Shigui Ruan
We obtain the precise decay rates of traveling wave for a class of nonlocal evolution equations arising in the theory of phase transitions. We also investigate the spectrum of the…