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Existence of periodic solutions and stability of zero solution of a mathematical model of schistosomiasis
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نویسنده
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li l. ,liu z.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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A mathematical model on schistosomiasis governed by periodic differential equations with a time delay was studied. by discussing boundedness of the solutions of this model and construction of a monotonic sequence,the existence of positive periodic solution was shown. the conditions under which the model admits a periodic solution and the conditions under which the zero solution is globally stable are given,respectively. some numerical analyses show the conditional coexistence of locally stable zero solution and periodic solutions and that it is an effective treatment by simply reducing the population of snails and enlarging the death ratio of snails for the control of schistosomiasis. © 2014 lin li and zhicheng liu.
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آدرس
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school of biomedical engineering,capital medical university,beijing 100069,china,beijing key laboratory of fundamental research on biomechanics in clinical application,capital medical university, China, school of biomedical engineering,capital medical university,beijing 100069,china,beijing key laboratory of fundamental research on biomechanics in clinical application,capital medical university, China
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Authors
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