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- W2587704966 abstract "In this paper a mosquito-borne parasitic infection model in periodic environment is considered. Threshold parameter<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>is given by linear next infection operator, which determined the dynamic behaviors of system. We obtain that when<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>0</mml:mn></mml:mrow></mml:msub><mml:mo><</mml:mo><mml:mn mathvariant=normal>1</mml:mn></mml:math>, the disease-free periodic solution is globally asymptotically stable and when<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>0</mml:mn></mml:mrow></mml:msub><mml:mo>></mml:mo><mml:mn mathvariant=normal>1</mml:mn></mml:math>by Poincaré map we obtain that disease is uniformly persistent. Numerical simulations support the results and sensitivity analysis shows effects of parameters on<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, which provided references to seek optimal measures to control the transmission of lymphatic filariasis." @default.
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- W2587704966 date "2017-01-01" @default.
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- W2587704966 title "Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment" @default.
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- W2587704966 doi "https://doi.org/10.1155/2017/4567452" @default.
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