Abstract
In this paper, we present a malaria transmission model with periodic birth rate and age structure for the vector population. We first introduce the basic reproduction ratio for this model and then show that there exists at least one positive periodic state and that the disease persists when R0> 1. It is also shown that the disease will die out if R0< 1, provided that the invasion intensity is not strong. We further use these analytic results to study the malaria transmission cases in KwaZulu-Natal Province, South Africa. Some sensitivity analysis of R0is performed, and in particular, the potential impact of climate change on seasonal transmission and populations at risk of the disease is analyzed.
| Original language | English |
|---|---|
| Pages (from-to) | 2023-2044 |
| Number of pages | 22 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 70 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 27 Apr 2010 |
| Externally published | Yes |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
-
SDG 3 Good Health and Well-being -
SDG 13 Climate Action
Keywords
- Basic reproduction ratio
- Malaria transmission
- Sensitivity analysis
- Uniform persistence
- Vector-borne diseases
ASJC Scopus subject areas
- Applied Mathematics
Fingerprint
Dive into the research topics of 'A climate-based malaria transmission model with structured vector population'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver