@article{fdi:010035744,
  title = {{T}he epidemic threshold of vector-borne diseases with seasonality},
  author = {{B}aca{\¨e}r, {N}icolas and {G}uernaoui, {S}.},
  editor = {},
  language = {{ENG}},
  abstract = {{C}utaneous leishmaniasis is a vector-borne disease transmitted to humans by sandflies. {I}n this paper, we develop a mathematical model which takes into account the seasonality of the vector population and the distribution of the latent period from infection to symptoms in humans. {P}arameters are fitted to real data from the province of {C}hichaoua, {M}orocco. {W}e also introduce a generalization of the definition of the basic reproduction number {R}-0 which is adapted to periodic environments. {T}his {R}-0 is estimated numerically for the epidemic in {C}hichaoua; {R}-0 similar or equal to 1.94. {T}he model suggests that the epidemic could be stopped if the vector population were reduced by a factor ({R}-0)(2) similar or equal to 3.76.},
  keywords = {vector borne disease ; seasonality ; epidemic threshold},
  booktitle = {},
  journal = {{J}ournal of {M}athematical {B}iology},
  volume = {53},
  numero = {3},
  pages = {421--436},
  ISSN = {0303-6812},
  year = {2006},
  DOI = {10.1007/s00285-006-0015-0},
  URL = {https://www.documentation.ird.fr/hor/fdi:010035744},
}