Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment

In this paper a mosquito-borne parasitic infection model in periodic environment is considered. Threshold parameter 𝑅0 is given by linear next infection operator, which determined the dynamic behaviors of system. We obtain that when 𝑅0 < 1, the disease-free periodic solution is globally asymptotically stable and when 𝑅0 > 1 by Poincare map we obtain that disease is uniformly persistent. ´ Numerical simulations support the results and sensitivity analysis shows effects of parameters on 𝑅0, which provided references to seek optimal measures to control the transmission of lymphatic filariasis.