Skip to Main content Skip to Navigation
Journal articles

A metapopulation model for malaria with transmission-blocking partial immunity in hosts

Julien Arino 1 Arnaud Ducrot 2 Pascal Zongo 3, 4
4 ANUBIS - Tools of automatic control for scientific computing, Models and Methods in Biomathematics
Université Bordeaux Segalen - Bordeaux 2, Université Sciences et Technologies - Bordeaux 1, Inria Bordeaux - Sud-Ouest, CNRS - Centre National de la Recherche Scientifique : UMR
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 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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00992227
Contributor : Arnaud Ducrot <>
Submitted on : Friday, May 16, 2014 - 3:37:34 PM
Last modification on : Thursday, March 5, 2020 - 4:52:42 PM

Links full text

Identifiers

Collections

Citation

Julien Arino, Arnaud Ducrot, Pascal Zongo. A metapopulation model for malaria with transmission-blocking partial immunity in hosts. Journal of Mathematical Biology, Springer Verlag (Germany), 2012, 64 (3), pp.423-448. ⟨10.1007/s00285-011-0418-4⟩. ⟨hal-00992227⟩

Share

Metrics

Record views

420