@article{fdi:010044220,
  title = {{T}he {R}oss-{M}acdonald model in a patchy environment},
  author = {{A}uger, {P}ierre and {K}ouokam, {E}tienne and {S}allet, {G}authier and {T}chuente, {M}aurice and {T}sanou, {B}.},
  editor = {},
  language = {{ENG}},
  abstract = {{W}e generalize to n patches the {R}oss-{M}acdonald model which describes the dynamics of malaria. {W}e incorporate in our model the fact that some patches can be vector free. {W}e assume that the hosts can migrate between patches, but not the vectors. {T}he susceptible and infectious individuals have the same dispersal rate. {W}e compute the basic reproduction ratio {R}-0. {W}e prove that if {R}-0 <= 1, then the disease-free equilibrium is globally asymptotically stable. {W}hen {R}-0 > 1, we prove that there exists a unique endemic equilibrium, which is globally asymptotically stable on the biological domain minus the disease-free equilibrium.},
  keywords = {{M}etapopulation models ; {V}ector-borne diseases ; {R}oss-{M}acdonald model ; {N}onlinear dynamical systems ; {G}lobal stability ; {M}onotone systems},
  booktitle = {},
  journal = {{M}athematical {B}iosciences},
  volume = {216},
  numero = {2},
  pages = {123--131},
  ISSN = {0025-5564},
  year = {2008},
  DOI = {10.1016/j.mbs.2008.08.010},
  URL = {https://www.documentation.ird.fr/hor/fdi:010044220},
}