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Existence of Periodic Solutions and Stability of Zero Solution of a Mathematical Model of Schistosomiasis
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Li, Lin& Liu, Zhicheng. 2014. Existence of Periodic Solutions and Stability of Zero Solution of a Mathematical Model of Schistosomiasis. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-497077
Modern Language Association (MLA)
Li, Lin& Liu, Zhicheng. Existence of Periodic Solutions and Stability of Zero Solution of a Mathematical Model of Schistosomiasis. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-497077
American Medical Association (AMA)
Li, Lin& Liu, Zhicheng. Existence of Periodic Solutions and Stability of Zero Solution of a Mathematical Model of Schistosomiasis. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-497077
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497077