A metapopulation model for malaria with transmission-blocking partial immunity in hosts (bibtex)
by J. Arino, A. Ducrot, P. Zongo
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.
Reference:
A metapopulation model for malaria with transmission-blocking partial immunity in hosts (J. Arino, A. Ducrot, P. Zongo), In Journal of Mathematical Biology, volume 64, 2012.
Bibtex Entry:
@Article{ArinoDucrotZongo2012,
  Title                    = {{A metapopulation model for malaria with transmission-blocking partial immunity in hosts}},
  Author                   = {Arino, J. and Ducrot, A. and Zongo, P.},
  Journal                  = {Journal of Mathematical Biology},
  Year                     = {2012},
  Number                   = {3},
  Pages                    = {423--448},
  Volume                   = {64},

  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.},
  Doi                      = {10.1007/s00285-011-0418-4},
  Owner                    = {jarino},
  Timestamp                = {2011.03.06},
  Url                      = {http://server.math.umanitoba.ca/~jarino/papers/ArinoDucrotZongo-2012-JMB64.pdf}
}
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