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2014 Existence of Periodic Solutions and Stability of Zero Solution of a Mathematical Model of Schistosomiasis
Lin Li, Zhicheng Liu
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/765498

Abstract

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.

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Lin Li. Zhicheng Liu. "Existence of Periodic Solutions and Stability of Zero Solution of a Mathematical Model of Schistosomiasis." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/765498

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010748
MathSciNet: MR3170447
Digital Object Identifier: 10.1155/2014/765498

Rights: Copyright © 2014 Hindawi

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