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Control problems of a mathematical model for schistosomiasis transmission dynamics

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Abstract

Drug treatment, snail control, cercariae control, improved sanitation and health education are the effective strategies which are used to control the schistosomiasis. In this paper, we formulate a deterministic model for schistosomiasis transmission dynamics in order to explore the role of the several control strategies. The basic reproductive number is computed. Sufficient conditions for the global asymptotic stability of the disease-free equilibrium are obtained. By using the Center Manifold Theory, we analyze the local stability of endemic equilibrium. Finally, numerical simulations support our analytical conclusions and the sensitive analysis on the basic reproductive number to the changes of control parameters are shown. Our results imply that snail-killing is the most effective way to control the transmission of schistosomiasis.

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Authors and Affiliations

  1. Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, 341000, P.R. China

    Shujing Gao, Yujiang Liu & Youquan Luo

  2. College of Business, Gannan Normal University, Ganzhou, 341000, P.R. China

    Dehui Xie

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  1. Shujing Gao
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  2. Yujiang Liu
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  3. Youquan Luo
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  4. Dehui Xie
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Correspondence to Shujing Gao.

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Gao, S., Liu, Y., Luo, Y. et al. Control problems of a mathematical model for schistosomiasis transmission dynamics. Nonlinear Dyn 63, 503–512 (2011). https://doi.org/10.1007/s11071-010-9818-z

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  • DOI: https://doi.org/10.1007/s11071-010-9818-z

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