Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness
This article focuses on a stochastic viral model with distributed delay and CTL responsiveness. It is shown that the viral disease will be extinct if the stochastic reproductive ratio is less than one. However, when the stochastic reproductive ratio is more than one, the viral infection system consi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Life |
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| Online Access: | https://www.mdpi.com/2075-1729/11/8/766 |
| _version_ | 1797523187515260928 |
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| author | Jianguo Sun Miaomiao Gao Daqing Jiang |
| author_facet | Jianguo Sun Miaomiao Gao Daqing Jiang |
| author_sort | Jianguo Sun |
| collection | DOAJ |
| description | This article focuses on a stochastic viral model with distributed delay and CTL responsiveness. It is shown that the viral disease will be extinct if the stochastic reproductive ratio is less than one. However, when the stochastic reproductive ratio is more than one, the viral infection system consists of an ergodic stationary distribution. Furthermore, we obtain the existence and uniqueness of the global positive solution by constructing a suitable Lyapunov function. Finally, we illustrate our results by numerical simulation. |
| first_indexed | 2024-03-10T08:39:49Z |
| format | Article |
| id | doaj.art-2dafee15d89647118757e721b21984b6 |
| institution | Directory Open Access Journal |
| issn | 2075-1729 |
| language | English |
| last_indexed | 2024-03-10T08:39:49Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Life |
| spelling | doaj.art-2dafee15d89647118757e721b21984b62023-11-22T08:22:35ZengMDPI AGLife2075-17292021-07-0111876610.3390/life11080766Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL ResponsivenessJianguo Sun0Miaomiao Gao1Daqing Jiang2School of Science, China University of Petroleum (East China), Qingdao 266580, ChinaSchool of Science, China University of Petroleum (East China), Qingdao 266580, ChinaSchool of Science, China University of Petroleum (East China), Qingdao 266580, ChinaThis article focuses on a stochastic viral model with distributed delay and CTL responsiveness. It is shown that the viral disease will be extinct if the stochastic reproductive ratio is less than one. However, when the stochastic reproductive ratio is more than one, the viral infection system consists of an ergodic stationary distribution. Furthermore, we obtain the existence and uniqueness of the global positive solution by constructing a suitable Lyapunov function. Finally, we illustrate our results by numerical simulation.https://www.mdpi.com/2075-1729/11/8/766stochastic viral modeltime delayedCTL responsivenessergodic stationary distributionextinction |
| spellingShingle | Jianguo Sun Miaomiao Gao Daqing Jiang Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness Life stochastic viral model time delayed CTL responsiveness ergodic stationary distribution extinction |
| title | Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness |
| title_full | Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness |
| title_fullStr | Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness |
| title_full_unstemmed | Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness |
| title_short | Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness |
| title_sort | threshold dynamics of a non linear stochastic viral model with time delay and ctl responsiveness |
| topic | stochastic viral model time delayed CTL responsiveness ergodic stationary distribution extinction |
| url | https://www.mdpi.com/2075-1729/11/8/766 |
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