caa a22 4500 44536064X CHVBK 20180317142914.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s11071-010-9818-z doi (NATIONALLICENCE)springer-10.1007/s11071-010-9818-z Control problems ofa mathematical model forschistosomiasis transmission dynamics [Elektronische Daten] [Shujing Gao, Yujiang Liu, Youquan Luo, Dehui Xie] 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. Springer Science+Business Media B.V., 2010 Strategy for schistosomiasis control nationallicence Center Manifold Theory nationallicence Basic reproductive number nationallicence Gao Shujing Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, 341000, Ganzhou, P.R. China aut Liu Yujiang Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, 341000, Ganzhou, P.R. China aut Luo Youquan Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, 341000, Ganzhou, P.R. China aut Xie Dehui College of Business, Gannan Normal University, 341000, Ganzhou, P.R. China aut Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 503-512 0924-090X 63:3<503 2011 63 11071 https://doi.org/10.1007/s11071-010-9818-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9818-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gao Shujing Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, 341000, Ganzhou, P.R. China aut NATIONALLICENCE 700 1- Liu Yujiang Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, 341000, Ganzhou, P.R. China aut NATIONALLICENCE 700 1- Luo Youquan Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, 341000, Ganzhou, P.R. China aut NATIONALLICENCE 700 1- Xie Dehui College of Business, Gannan Normal University, 341000, Ganzhou, P.R. China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 503-512 0924-090X 63:3<503 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer