A Malaria Transmission Model with Temperature-Dependent Incubation Period.
Bull Math Biol
; 79(5): 1155-1182, 2017 05.
Article
en En
| MEDLINE
| ID: mdl-28389985
ABSTRACT
Malaria is an infectious disease caused by Plasmodium parasites and is transmitted among humans by female Anopheles mosquitoes. Climate factors have significant impact on both mosquito life cycle and parasite development. To consider the temperature sensitivity of the extrinsic incubation period (EIP) of malaria parasites, we formulate a delay differential equations model with a periodic time delay. We derive the basic reproduction ratio [Formula see text] and establish a threshold type result on the global dynamics in terms of [Formula see text], that is, the unique disease-free periodic solution is globally asymptotically stable if [Formula see text]; and the model system admits a unique positive periodic solution which is globally asymptotically stable if [Formula see text]. Numerically, we parameterize the model with data from Maputo Province, Mozambique, and simulate the long-term behavior of solutions. The simulation result is consistent with the obtained analytic result. In addition, we find that using the time-averaged EIP may underestimate the basic reproduction ratio.
Palabras clave
Texto completo:
1
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Malaria
/
Modelos Biológicos
Tipo de estudio:
Prognostic_studies
Límite:
Animals
/
Female
/
Humans
País/Región como asunto:
Africa
Idioma:
En
Revista:
Bull Math Biol
Año:
2017
Tipo del documento:
Article
País de afiliación:
Canadá