title: Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment.
abstract: In this paper a mosquito-borne parasitic infection model in periodic environment is considered. Threshold parameterR0is given by linear next infection operator, which determined the dynamic behaviors of system. We obtain that whenR0< 1, the disease-free periodic solution is globally asymptotically stable and whenR0> 1 by Poincaré map we obtain that disease is uniformly persistent. Numerical simulations support the results and sensitivity analysis shows effects of parameters onR0, which provided references to seek optimal measures to control the transmission of lymphatic filariasis.
authors.affiliation: School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
authors.forename: Yan
authors.identifier: 0000-0001-8919-358X
authors.initials: Y
authors.lastname: Cheng
authors.affiliation: School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
authors.forename: Xiaoyun
authors.initials: X
authors.lastname: Wang
authors.affiliation: School of Innovation Experiment, Dalian University of Technology, Dalian 116024, China.
authors.forename: Qiuhui
authors.initials: Q
authors.lastname: Pan
authors.affiliation: School of Innovation Experiment, Dalian University of Technology, Dalian 116024, China.
authors.forename: Mingfeng
authors.identifier: 0000-0003-4484-5315
authors.initials: M
authors.lastname: He
mesh_terms: D000465:Algorithms; D000818:Animals; D050936:Basic Reproduction Number; D003198:Computer Simulation; D009033:Culicidae; D058872:Epidemics; D005260:Female; D005368:Filariasis / Q000469:parasitology*; D006801:Humans; D007303:Insect Vectors; D016014:Linear Models; D008198:Lymph Nodes / Q000469:parasitology*; D014958:Wuchereria bancrofti