Existence of travelling waves in a diffusive vector disease model with distributed delay |
| |
Authors: | Guo-Can Huang Hai-Feng Huo |
| |
Affiliation: | 1.Department of Applied Mathematics,Lanzhou University of Technology,Lanzhou,P. R. China |
| |
Abstract: | This paper is concerned with a diffusive vector disease model with distributed delay. The existence of travelling wave front
solutions connecting the zero equilibrium and the positive equilibrium is established by using an iterative technique and
a nonstandard ordering for the set of profiles of the corresponding wave system recently developed by Wang, Li and Ruan (Travelling
wave fronts in reactiondiffusion systems with spatio-temporal delays. J. Differential Equations
222 (2006), 185–232). The existence of travelling front solutions shows that there is a moving zone of transition from the disease
free state to the infective state. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |