Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells
In this paper, we study the global dynamics of a stochastic viral infection model with humoral immunity and Holling type II response functions. The existence and uniqueness of non-negative global solutions are derived. Stationary ergodic distribution of positive solutions is investigated. The soluti...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/21/10484 |
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| author | Chinnathambi Rajivganthi Fathalla A. Rihan |
| author_facet | Chinnathambi Rajivganthi Fathalla A. Rihan |
| author_sort | Chinnathambi Rajivganthi |
| collection | DOAJ |
| description | In this paper, we study the global dynamics of a stochastic viral infection model with humoral immunity and Holling type II response functions. The existence and uniqueness of non-negative global solutions are derived. Stationary ergodic distribution of positive solutions is investigated. The solution fluctuates around the equilibrium of the deterministic case, resulting in the disease persisting stochastically. The extinction conditions are also determined. To verify the accuracy of the results, numerical simulations were carried out using the Euler–Maruyama scheme. White noise’s intensity plays a key role in treating viral infectious diseases. The small intensity of white noises can maintain the existence of a stationary distribution, while the large intensity of white noises is beneficial to the extinction of the virus. |
| first_indexed | 2024-03-09T04:38:51Z |
| format | Article |
| id | doaj.art-31026a488f494118972af45544eb5a79 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T04:38:51Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-31026a488f494118972af45544eb5a792023-12-03T13:24:21ZengMDPI AGApplied Sciences2076-34172021-11-0111211048410.3390/app112110484Global Dynamics of a Stochastic Viral Infection Model with Latently Infected CellsChinnathambi Rajivganthi0Fathalla A. Rihan1School of Applied Mathematics, Getulio Vargas Foundation, Rio de Janeiro 22250-900, RJ, BrazilDepartment of Mathematical Sciences, College of Science, United Arab Emirates University, Al-Ain 15551, United Arab EmiratesIn this paper, we study the global dynamics of a stochastic viral infection model with humoral immunity and Holling type II response functions. The existence and uniqueness of non-negative global solutions are derived. Stationary ergodic distribution of positive solutions is investigated. The solution fluctuates around the equilibrium of the deterministic case, resulting in the disease persisting stochastically. The extinction conditions are also determined. To verify the accuracy of the results, numerical simulations were carried out using the Euler–Maruyama scheme. White noise’s intensity plays a key role in treating viral infectious diseases. The small intensity of white noises can maintain the existence of a stationary distribution, while the large intensity of white noises is beneficial to the extinction of the virus.https://www.mdpi.com/2076-3417/11/21/10484extinctionlatently infectiousrandom noisestochasticstationary distribution |
| spellingShingle | Chinnathambi Rajivganthi Fathalla A. Rihan Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells Applied Sciences extinction latently infectious random noise stochastic stationary distribution |
| title | Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells |
| title_full | Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells |
| title_fullStr | Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells |
| title_full_unstemmed | Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells |
| title_short | Global Dynamics of a Stochastic Viral Infection Model with Latently Infected Cells |
| title_sort | global dynamics of a stochastic viral infection model with latently infected cells |
| topic | extinction latently infectious random noise stochastic stationary distribution |
| url | https://www.mdpi.com/2076-3417/11/21/10484 |
| work_keys_str_mv | AT chinnathambirajivganthi globaldynamicsofastochasticviralinfectionmodelwithlatentlyinfectedcells AT fathallaarihan globaldynamicsofastochasticviralinfectionmodelwithlatentlyinfectedcells |