Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 41, Issue 14, Pages 5388-5403Publisher
WILEY
DOI: 10.1002/mma.5085
Keywords
dengue disease; free boundary; reaction-diffusion system; spatial-temporal basic reproduction number; spreading and vanishing
Categories
Funding
- National Natural Science Foundation of China [11771407]
- Innovative Research Team of Science and Technology in Henan Province [17IRTSTHN007]
- National Key R&D Program of China [2017YFB0702500]
Ask authors/readers for more resources
A reaction-diffusion system with free boundary is proposed to describe the transmission of the dengue disease from mosquitoes to humans. In addition to the classical basic reproduction number R-0, the spatial-temporal basic reproduction number R0F(t) is introduced to determine the persistence and eradication of the disease. Some sufficient conditions for the disease vanishing or spreading are obtained. The disease will go extinct under one of the conditions: the classical basic reproduction number R(0)1 and the spatial-temporal basic reproduction number R0 spread of the disease in the whole area is possible if for some t0. Numerical simulations are also given to illustrate the theoretical results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available