@article{fdi:010077771,
  title = {{D}evelopment and analysis of a malaria transmission mathematical model with seasonal mosquito life-history traits},
  author = {{D}jidjou-{D}emasse, {R}ams{\`e}s and {A}biodun, {G}. {J}. and {A}deola, {A}. {M}. and {B}otai, {J}. {O}.},
  editor = {},
  language = {{ENG}},
  abstract = {{I}n this paper, we develop and analyze a malaria model with seasonality of mosquito life-history traits: periodic-mosquitoes per capita birth rate, -mosquitoes death rate, -probability of mosquito to human disease transmission, -probability of human to mosquito disease transmission, and -mosquitoes biting rate. {A}ll these parameters are assumed to be time dependent leading to a nonautonomous differential equation system. {W}e provide a global analysis of the model depending on two threshold parameters {R}0 and {R} over bar 0<1 (with {R}0 <= {R} over bar 0). {W}hen {R}0<1, then the disease-free stationary state is locally asymptotically stable. {I}n the presence of the human disease-induced mortality, the global stability of the disease-free stationary state is guarantied when {R} over bar 0<1. {O}n the contrary, if {R}0>1, the disease persists in the host population in the long term and the model admits at least one positive periodic solution. {M}oreover, by a numerical simulation, we show that a sub-critical (backward) bifurcation is possible at {R}0=1. {F}inally, the simulation results are in accordance with the seasonal variation of the reported cases of a malaria-epidemic region in {M}pumalanga province in {S}outh {A}frica.},
  keywords = {basic reproduction number ; global stability ; periodic solution ; seasonal ; pattern ; uniform persistence},
  booktitle = {},
  journal = {{S}tudies in {A}pplied {M}athematics},
  volume = {[{E}arly {A}ccess]},
  numero = {},
  pages = {[23 p.]},
  ISSN = {0022-2526},
  year = {2019},
  DOI = {10.1111/sapm.12296},
  URL = {https://www.documentation.ird.fr/hor/fdi:010077771},
}