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...
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Autor*in:	Jianguo Sun [verfasserIn] Miaomiao Gao [verfasserIn] Daqing Jiang [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	stochastic viral model time delayed CTL responsiveness ergodic stationary distribution extinction

Übergeordnetes Werk:	In: Life - MDPI AG, 2012, 11(2021), 8, p 766
Übergeordnetes Werk:	volume:11 ; year:2021 ; number:8, p 766

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/life11080766

Katalog-ID:	DOAJ03088005X

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allfields	10.3390/life11080766 doi (DE-627)DOAJ03088005X (DE-599)DOAJ2dafee15d89647118757e721b21984b6 DE-627 ger DE-627 rakwb eng Jianguo Sun verfasserin aut Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. stochastic viral model time delayed CTL responsiveness ergodic stationary distribution extinction Science Q Miaomiao Gao verfasserin aut Daqing Jiang verfasserin aut In Life MDPI AG, 2012 11(2021), 8, p 766 (DE-627)718627156 (DE-600)2662250-6 20751729 nnns volume:11 year:2021 number:8, p 766 https://doi.org/10.3390/life11080766 kostenfrei https://doaj.org/article/2dafee15d89647118757e721b21984b6 kostenfrei https://www.mdpi.com/2075-1729/11/8/766 kostenfrei https://doaj.org/toc/2075-1729 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 11 2021 8, p 766
spelling	10.3390/life11080766 doi (DE-627)DOAJ03088005X (DE-599)DOAJ2dafee15d89647118757e721b21984b6 DE-627 ger DE-627 rakwb eng Jianguo Sun verfasserin aut Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. stochastic viral model time delayed CTL responsiveness ergodic stationary distribution extinction Science Q Miaomiao Gao verfasserin aut Daqing Jiang verfasserin aut In Life MDPI AG, 2012 11(2021), 8, p 766 (DE-627)718627156 (DE-600)2662250-6 20751729 nnns volume:11 year:2021 number:8, p 766 https://doi.org/10.3390/life11080766 kostenfrei https://doaj.org/article/2dafee15d89647118757e721b21984b6 kostenfrei https://www.mdpi.com/2075-1729/11/8/766 kostenfrei https://doaj.org/toc/2075-1729 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 11 2021 8, p 766
allfields_unstemmed	10.3390/life11080766 doi (DE-627)DOAJ03088005X (DE-599)DOAJ2dafee15d89647118757e721b21984b6 DE-627 ger DE-627 rakwb eng Jianguo Sun verfasserin aut Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. stochastic viral model time delayed CTL responsiveness ergodic stationary distribution extinction Science Q Miaomiao Gao verfasserin aut Daqing Jiang verfasserin aut In Life MDPI AG, 2012 11(2021), 8, p 766 (DE-627)718627156 (DE-600)2662250-6 20751729 nnns volume:11 year:2021 number:8, p 766 https://doi.org/10.3390/life11080766 kostenfrei https://doaj.org/article/2dafee15d89647118757e721b21984b6 kostenfrei https://www.mdpi.com/2075-1729/11/8/766 kostenfrei https://doaj.org/toc/2075-1729 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 11 2021 8, p 766
allfieldsGer	10.3390/life11080766 doi (DE-627)DOAJ03088005X (DE-599)DOAJ2dafee15d89647118757e721b21984b6 DE-627 ger DE-627 rakwb eng Jianguo Sun verfasserin aut Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. stochastic viral model time delayed CTL responsiveness ergodic stationary distribution extinction Science Q Miaomiao Gao verfasserin aut Daqing Jiang verfasserin aut In Life MDPI AG, 2012 11(2021), 8, p 766 (DE-627)718627156 (DE-600)2662250-6 20751729 nnns volume:11 year:2021 number:8, p 766 https://doi.org/10.3390/life11080766 kostenfrei https://doaj.org/article/2dafee15d89647118757e721b21984b6 kostenfrei https://www.mdpi.com/2075-1729/11/8/766 kostenfrei https://doaj.org/toc/2075-1729 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 11 2021 8, p 766
allfieldsSound	10.3390/life11080766 doi (DE-627)DOAJ03088005X (DE-599)DOAJ2dafee15d89647118757e721b21984b6 DE-627 ger DE-627 rakwb eng Jianguo Sun verfasserin aut Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. stochastic viral model time delayed CTL responsiveness ergodic stationary distribution extinction Science Q Miaomiao Gao verfasserin aut Daqing Jiang verfasserin aut In Life MDPI AG, 2012 11(2021), 8, p 766 (DE-627)718627156 (DE-600)2662250-6 20751729 nnns volume:11 year:2021 number:8, p 766 https://doi.org/10.3390/life11080766 kostenfrei https://doaj.org/article/2dafee15d89647118757e721b21984b6 kostenfrei https://www.mdpi.com/2075-1729/11/8/766 kostenfrei https://doaj.org/toc/2075-1729 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 11 2021 8, p 766
language	English
source	In Life 11(2021), 8, p 766 volume:11 year:2021 number:8, p 766
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topic_facet	stochastic viral model time delayed CTL responsiveness ergodic stationary distribution extinction Science Q
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author	Jianguo Sun
spellingShingle	Jianguo Sun misc stochastic viral model misc time delayed misc CTL responsiveness misc ergodic stationary distribution misc extinction misc Science misc Q Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness
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topic_title	Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness stochastic viral model time delayed CTL responsiveness ergodic stationary distribution extinction
topic	misc stochastic viral model misc time delayed misc CTL responsiveness misc ergodic stationary distribution misc extinction misc Science misc Q
topic_unstemmed	misc stochastic viral model misc time delayed misc CTL responsiveness misc ergodic stationary distribution misc extinction misc Science misc Q
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title	Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness
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title_full	Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness
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title_sort	threshold dynamics of a non-linear stochastic viral model with time delay and ctl responsiveness
title_auth	Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness
abstract	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.
abstractGer	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.
abstract_unstemmed	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.
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title_short	Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness
url	https://doi.org/10.3390/life11080766 https://doaj.org/article/2dafee15d89647118757e721b21984b6 https://www.mdpi.com/2075-1729/11/8/766 https://doaj.org/toc/2075-1729
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up_date	2024-07-03T17:29:40.482Z
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