In this paper, we establish and analyze a stochastic human immunodeficiency virus model with both virus-to-cell and cell-to-cell transmissions and Ornstein-Uhlenbeck process, in which we suppose that the virus-to-cell infection rate and the cell-to-cell infection rate satisfy the Ornstein-Uhlenbeck process. First, we validate that there exists a unique global solution to the stochastic model with any initial value. Then, we adopt a stochastic Lyapunov function technique to develop sufficient criteria for the existence of a stationary distribution of positive solutions to the stochastic system, which reflects the strong persistence of all CD4(+) T cells and free viruses. In particular, under the same conditions as the existence of a stationary distribution, we obtain the specific form of the probability density around the quasi-chronic infection equilibrium of the stochastic system. Finally, numerical simulations are conducted to validate these analytical results. Our results suggest that the methods used in this paper can be applied to study other viral infection models in which the infected CD4(+) T cells are divided into latently infected and actively infected subgroups.
机构:
Northeastern Univ, Inst Syst Sci, Shenyang, Peoples R ChinaNortheastern Univ, Inst Syst Sci, Shenyang, Peoples R China
Tian, Yilin
Liu, Chao
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Northeastern Univ, Inst Syst Sci, Shenyang, Peoples R China
State Key Lab Integrated Automat Proc Ind, Shenyang, Peoples R ChinaNortheastern Univ, Inst Syst Sci, Shenyang, Peoples R China
Liu, Chao
Cheung, Lora
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York Univ, Dept Math & Stat, Toronto, ON, CanadaNortheastern Univ, Inst Syst Sci, Shenyang, Peoples R China
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Royal Inst Technol, NORDITA, S-10691 Stockholm, Sweden
Stockholm Univ, NORDITA, S-10691 Stockholm, SwedenRoyal Inst Technol, NORDITA, S-10691 Stockholm, Sweden
Giorgini, L. T.
Moon, W.
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Royal Inst Technol, NORDITA, S-10691 Stockholm, Sweden
Stockholm Univ, NORDITA, S-10691 Stockholm, Sweden
Stockholm Univ, Dept Math, S-10691 Stockholm, SwedenRoyal Inst Technol, NORDITA, S-10691 Stockholm, Sweden
Moon, W.
Wettlaufer, J. S.
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Royal Inst Technol, NORDITA, S-10691 Stockholm, Sweden
Stockholm Univ, NORDITA, S-10691 Stockholm, Sweden
Yale Univ, New Haven, CT 06520 USARoyal Inst Technol, NORDITA, S-10691 Stockholm, Sweden
机构:
Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat, Key Lab Big Data Anal Jilin Prov,MOE, Changchun 130024, Jilin Province, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Key Lab Appl Stat, Key Lab Big Data Anal Jilin Prov,MOE, Changchun 130024, Jilin Province, Peoples R China
机构:
China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R ChinaChina Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
Zhou, Baoquan
Jiang, Daqing
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China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi ArabiaChina Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
Jiang, Daqing
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Hayat, Tasawar
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,
2022,
111
机构:
Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math & Stat, Riyadh 11432, Saudi ArabiaImam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math & Stat, Riyadh 11432, Saudi Arabia
Alshammari, Fehaid Salem
Akyildiz, Fahir Talay
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Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math & Stat, Riyadh 11432, Saudi ArabiaImam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math & Stat, Riyadh 11432, Saudi Arabia
机构:
Liaodong Univ, Sch Informat Engn, Dandong 118003, Liaoning, Peoples R ChinaLiaodong Univ, Sch Informat Engn, Dandong 118003, Liaoning, Peoples R China
Wen, Buyu
Teng, Zhidong
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Xinjiang Med Univ, Coll Med Engn & Technol, Urumqi 830017, Xinjiang, Peoples R ChinaLiaodong Univ, Sch Informat Engn, Dandong 118003, Liaoning, Peoples R China
Teng, Zhidong
Nie, Linfei
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机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R ChinaLiaodong Univ, Sch Informat Engn, Dandong 118003, Liaoning, Peoples R China
Nie, Linfei
Li, Zhiming
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Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R ChinaLiaodong Univ, Sch Informat Engn, Dandong 118003, Liaoning, Peoples R China
Li, Zhiming
Cao, Hong
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机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R ChinaLiaodong Univ, Sch Informat Engn, Dandong 118003, Liaoning, Peoples R China