Abstract
In this article, we propose a periodic Ross-Macdonald type model with diffusion and advection to study the possible impact of the mobility of humans and mosquitoes on malaria transmission. We establish the existence of the leftward and rightward spreading speeds and their coincidence with the minimum wave speeds in the left and right directions, respectively. For the model in a bounded domain, we obtain a threshold result on the global attractivity of either zero or the positive periodic solution.
| Original language | English |
|---|---|
| Pages (from-to) | 1067-1089 |
| Number of pages | 23 |
| Journal | Applicable Analysis |
| Volume | 89 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1 Jul 2010 |
| Externally published | Yes |
Keywords
- Global attractivity
- Malaria transmission
- Periodic travelling waves
- Positive periodic solution
- Reaction-diffusion-advection model
- Spreading speeds
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
