On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent PeriodReport as inadecuate




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Discrete Dynamics in Nature and Society - Volume 2016 2016, Article ID 8707258, 15 pages -

Research Article

Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China

School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China

Received 2 June 2016; Accepted 4 August 2016

Academic Editor: Darko Mitrovic

Copyright © 2016 Shujing Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A five-dimensional nonautonomous schistosomiasis model which include latent period is proposed and studied. By constructing several auxiliary functions and using some skills, we obtain some sufficient conditions for the extinction and permanence uniform persistence of infectious population of the model. New threshold values of integral form are obtained. For the corresponding autonomous schistosomiasis model, our results are consistent with the past results. For the periodic and almost periodic cases, some corollaries for the extinction and permanence of the disease are established. In order to illustrate our theoretical analysis, some numerical simulations are presented.





Author: Shujing Gao, Yanfei Dai, and Dehui Xie

Source: https://www.hindawi.com/



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