A Class of Nonautonomous Schistosomiasis Transmission Model with Incubation Period - Applied Mathematics

AM > Vol.10 No.3, March 2019

Applied Mathematics

Volume 10, Issue 3 (March 2019)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

A Class of Nonautonomous Schistosomiasis Transmission Model with Incubation Period ()

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DOI: 10.4236/am.2019.103013 676 Downloads 1,213 Views Citations

Author(s)

Yang Liu¹, Yuying He², Shuixian Yan^1*, Shujing Gao¹

Affiliation(s)

¹College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, China.
²Yuhua Elite School, Kaifeng, China.

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.

KEYWORDS

Schistosomiasis, Nonautonomous Model, Permanence, Extinction

Share and Cite:

Liu, Y. , He, Y. , Yan, S. and Gao, S. (2019) A Class of Nonautonomous Schistosomiasis Transmission Model with Incubation Period. Applied Mathematics, 10, 159-172. doi: 10.4236/am.2019.103013.

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