A metapopulation model for malaria with transmission-blocking partial immunity in hosts.
J Math Biol
; 64(3): 423-48, 2012 Feb.
Article
en En
| MEDLINE
| ID: mdl-21442182
ABSTRACT
A metapopulation malaria model is proposed using SI and SIRS models for the vectors and hosts, respectively. Recovered hosts are partially immune to the disease and while they cannot directly become infectious again, they can still transmit the parasite to vectors. The basic reproduction number [Formula see text] is shown to govern the local stability of the disease free equilibrium but not the global behavior of the system because of the potential occurrence of a backward bifurcation. Using type reproduction numbers, we identify the reservoirs of infection and evaluate the effect of control measures. Applications to the spread to non-endemic areas and the interaction between rural and urban areas are given.
Texto completo:
1
Bases de datos:
MEDLINE
Asunto principal:
Dinámica Poblacional
/
Malaria
Límite:
Animals
/
Humans
/
Male
Idioma:
En
Revista:
J Math Biol
Año:
2012
Tipo del documento:
Article
País de afiliación:
Canadá