Global analysis of a delayed vector-bias model for malaria transmission with incubation period in mosquitoes.
A delayed vector-bias model for malaria transmission with incubation period in mosquitoes is studied. The delay t corresponds to the time necessary for a latently infected vector to become an infectious vector. We prove that the global stability is completely determined by the threshold parameter, R₀(τ). If R₀(τ) ≥ 1, the disease-free equilibrium is globally asymptotically stable. If R₀(τ) > 1 a unique endemic equilibrium exists and is globally asymptotically stable. We apply our results to Ross-MacDonald malaria models with an incubation period (extrinsic or intrinsic).
Unidad Academica de Matematicas, Universidad Autonoma de Guerrero, Av. Lazaro Cardenas C.U., Chilpancingo, Guerrero, Mexico. leoncruz82@yahoo.com.mx
Cruz
C
Vargas-De-León
D000818:Animals; D050936:Basic Reproduction Number; D009033:Culicidae / Q000469:parasitology*; D006801:Humans; D007303:Insect Vectors / Q000469:parasitology*; D008288:Malaria / Q000469:parasitology* / Q000635:transmission; D008954:Models, Biological; D010961:Plasmodium / Q000254:growth & development*