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A Class of Nonautonomous Schistosomiasis Transmission Model with Incubation Period
College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, China
Yuhua Elite School, Kaifeng, China
College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, China
College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, China
- 1 College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, China
- 2 Yuhua Elite School, Kaifeng, China
- 3 College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, China
- 4 College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, China
Applied Mathematics·Volume 10 (2019)·Pages 159–172·Published 15 March 2019·DOI10.4236/am.2019.103013
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Abstract
A nonautonomous schistosomiasis model with latent period and saturated incidence is investigated. Further, we study the long-time behavior of the epidemic model. The weaker sufficient conditions for the permanence and extinction of infectious population of the model are obtained by constructing some auxiliary functions. Numerical simulations show agreement with the theoretical results.
KeywordsSchistosomiasisNonautonomous ModelPermanenceExtinction
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