Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment

Author:

Cheng Yan1ORCID,Wang Xiaoyun1,Pan Qiuhui2,He Mingfeng2ORCID

Affiliation:

1. School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

2. School of Innovation Experiment, Dalian University of Technology, Dalian 116024, China

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>1by 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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modelling and Simulation,General Medicine

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Impact of screening, treatment, and misdiagnose on lymphatic filariasis transmission: a mathematical model;Communications in Mathematical Biology and Neuroscience;2023

2. Clustered Breeding Sites: Shelters for Vector-Borne Diseases;Computational and Mathematical Methods in Medicine;2018-07-09

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