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]
< Reduce
Laboratoire d'Analyse Numérique Informatique et Biomathématiques [LANIBIO]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Language
en
Article de revue
This item was published in
Journal of Mathematical Biology. 2012-02, vol. 64, n° 3, p. 423-448
Springer
English 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 ...Read more >
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.Read less <
English Keywords
Malaria
Reproduction number
Type reproduction number
Metapopulation
Origin
Hal imported