@article{fdi:010012107,
  title = {{A} compartmental model of sleeping sickness in central {A}frica},
  author = {{A}rtzrouni, {M}. and {G}outeux, {J}ean-{P}aul},
  editor = {},
  language = {{ENG}},
  abstract = {{W}e present a five-variable compartmental model for the spread of #{T}rypanosoma brucei gambiense$, the parasite responsible for the transmission (trough tsetse flies) of sleeping sickness in {C}entral {A}frica. {T}he model's equilibrium points depend on two "summary parameters" : g(r), the proportion removed among human infectives, and {R}0, the basic reproduction rate. {S}tability results are obtained for the origin but not for other equilibrium points. {A} two-variable simplified version of the model is presented and the stability of all its equilibrium points can be investigated analytically. {B}oth models are applied to the {N}iari focus of {C}entral {A}frica and used to test the impact of a vector control strategy. {T}he models' results are in agreement with the extinction of the epidemic that was brought about by a fifty percent decrease in vector density. ({R}{\'e}sum{\'e} d'auteur)},
  keywords = {{MALADIE} {DU} {SOMMEIL} ; {EPIDEMIOLOGIE} ; {TRANSMISSION} ; {MODELISATION} ; {BIOSTATISTIQUE} ; {CENTRAFRIQUE}},
  booktitle = {},
  journal = {{J}ournal {O}f {B}iological {S}ystems},
  volume = {4},
  numero = {4},
  pages = {459--477},
  year = {1996},
  DOI = {10.1142/{S}0218339096000314},
  URL = {https://www.documentation.ird.fr/hor/fdi:010012107},
}