On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/8707258 |
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| _version_ | 1832549619237650432 |
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| author | Shujing Gao Yanfei Dai Dehui Xie |
| author_facet | Shujing Gao Yanfei Dai Dehui Xie |
| author_sort | Shujing Gao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e0bba931df334f8085394301a1d09c2b |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e0bba931df334f8085394301a1d09c2b2025-02-03T06:10:54ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/87072588707258On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent PeriodShujing Gao0Yanfei Dai1Dehui Xie2Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, ChinaSchool of Mathematics, Sun Yat-sen University, Guangzhou 510275, ChinaKey Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, ChinaA 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.http://dx.doi.org/10.1155/2016/8707258 |
| spellingShingle | Shujing Gao Yanfei Dai Dehui Xie On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period Discrete Dynamics in Nature and Society |
| title | On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period |
| title_full | On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period |
| title_fullStr | On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period |
| title_full_unstemmed | On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period |
| title_short | On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period |
| title_sort | on a five dimensional nonautonomous schistosomiasis model with latent period |
| url | http://dx.doi.org/10.1155/2016/8707258 |
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