Stabilization Control for a Class of Fractional-Order HIV-1 Infection Model with Time Delays
In this study, we investigated a novel asymptotic stabilization control method for a fractional-order HIV-1 infection model. First, we constructed a mathematical model of the fractional-order HIV-1 infection using the state-space equations of Caputo fractional calculus. Subsequently, a new control s...
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MDPI AG
2023-07-01
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| Online Access: | https://www.mdpi.com/2075-1680/12/7/695 |
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| author | Zitong Li Zhe Zhang |
| author_facet | Zitong Li Zhe Zhang |
| author_sort | Zitong Li |
| collection | DOAJ |
| description | In this study, we investigated a novel asymptotic stabilization control method for a fractional-order HIV-1 infection model. First, we constructed a mathematical model of the fractional-order HIV-1 infection using the state-space equations of Caputo fractional calculus. Subsequently, a new control strategy was designed for the fractional-order HIV-1 infection model, and the corresponding asymptotic stabilization criterion was proposed by combining a novel vector Lyapunov function with the M-matrix method. Additionally, we incorporated a time delay, which was generated by the interaction between different variables in the actual system, into the fractional-order HIV-1 infection model, forming a system with a time delay. Based on the vector Lyapunov function associated with the M-matrix measure and Razumikhin interpretation, a control strategy was developed for the fractional-order HIV-1 infection model with a time delay. Finally, we show the results of two numerical simulations of the fractional-order HIV-1 infection model, with and without time delay, to illustrate the accuracy, usefulness, and universality of the proposed measure in our paper. |
| first_indexed | 2024-03-11T01:18:46Z |
| format | Article |
| id | doaj.art-9312cf6f828542ee951c59a866da1ccd |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T01:18:46Z |
| publishDate | 2023-07-01 |
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| spelling | doaj.art-9312cf6f828542ee951c59a866da1ccd2023-11-18T18:18:10ZengMDPI AGAxioms2075-16802023-07-0112769510.3390/axioms12070695Stabilization Control for a Class of Fractional-Order HIV-1 Infection Model with Time DelaysZitong Li0Zhe Zhang1College of Life Sciences, Hunan Normal University, Changsha 410012, ChinaCollege of Electrical and Information Engineering, Hunan University, Changsha 410082, ChinaIn this study, we investigated a novel asymptotic stabilization control method for a fractional-order HIV-1 infection model. First, we constructed a mathematical model of the fractional-order HIV-1 infection using the state-space equations of Caputo fractional calculus. Subsequently, a new control strategy was designed for the fractional-order HIV-1 infection model, and the corresponding asymptotic stabilization criterion was proposed by combining a novel vector Lyapunov function with the M-matrix method. Additionally, we incorporated a time delay, which was generated by the interaction between different variables in the actual system, into the fractional-order HIV-1 infection model, forming a system with a time delay. Based on the vector Lyapunov function associated with the M-matrix measure and Razumikhin interpretation, a control strategy was developed for the fractional-order HIV-1 infection model with a time delay. Finally, we show the results of two numerical simulations of the fractional-order HIV-1 infection model, with and without time delay, to illustrate the accuracy, usefulness, and universality of the proposed measure in our paper.https://www.mdpi.com/2075-1680/12/7/695HIV-1fractional-order infection modelvirus dynamicsstabilization control |
| spellingShingle | Zitong Li Zhe Zhang Stabilization Control for a Class of Fractional-Order HIV-1 Infection Model with Time Delays Axioms HIV-1 fractional-order infection model virus dynamics stabilization control |
| title | Stabilization Control for a Class of Fractional-Order HIV-1 Infection Model with Time Delays |
| title_full | Stabilization Control for a Class of Fractional-Order HIV-1 Infection Model with Time Delays |
| title_fullStr | Stabilization Control for a Class of Fractional-Order HIV-1 Infection Model with Time Delays |
| title_full_unstemmed | Stabilization Control for a Class of Fractional-Order HIV-1 Infection Model with Time Delays |
| title_short | Stabilization Control for a Class of Fractional-Order HIV-1 Infection Model with Time Delays |
| title_sort | stabilization control for a class of fractional order hiv 1 infection model with time delays |
| topic | HIV-1 fractional-order infection model virus dynamics stabilization control |
| url | https://www.mdpi.com/2075-1680/12/7/695 |
| work_keys_str_mv | AT zitongli stabilizationcontrolforaclassoffractionalorderhiv1infectionmodelwithtimedelays AT zhezhang stabilizationcontrolforaclassoffractionalorderhiv1infectionmodelwithtimedelays |