A metapopulation model for malaria with transmission-blocking partial immunity in hosts
ZONGO, Pascal
Laboratoire d'Analyse Numérique Informatique et Biomathématiques [LANIBIO]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Laboratoire d'Analyse Numérique Informatique et Biomathématiques [LANIBIO]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
ZONGO, Pascal
Laboratoire d'Analyse Numérique Informatique et Biomathématiques [LANIBIO]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
< Leer menos
Laboratoire d'Analyse Numérique Informatique et Biomathématiques [LANIBIO]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Idioma
en
Article de revue
Este ítem está publicado en
Journal of Mathematical Biology. 2012-02, vol. 64, n° 3, p. 423-448
Springer
Resumen en inglés
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 ...Leer más >
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 R₀ 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.< Leer menos
Palabras clave en inglés
Malaria
Reproduction number
Type reproduction number
Metapopulation
Orígen
Importado de HalCentros de investigación