ABC Fractional Derivative for Varicella-Zoster Virus Using Two-Scale Fractal Dimension Approach with Vaccination
Chickenpox or varicella is an infectious disease caused by the varicella-zoster virus VZV. This virus is the cause of chickenpox (usually a primary infection in the nonimmune host) and herpes zoster. In this paper, a compartmental model for the dynamics of VZ transmission with the effect of vaccinat...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/1725110 |
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| author | Jirong Yang Farkhanda Afzal Perpetual Appiah |
| author_facet | Jirong Yang Farkhanda Afzal Perpetual Appiah |
| author_sort | Jirong Yang |
| collection | DOAJ |
| description | Chickenpox or varicella is an infectious disease caused by the varicella-zoster virus VZV. This virus is the cause of chickenpox (usually a primary infection in the nonimmune host) and herpes zoster. In this paper, a compartmental model for the dynamics of VZ transmission with the effect of vaccination is solved using the ABC fractional derivative. The possibility of using the fractal dimension as a biomarker to identify different diseases is being investigated. The problem is investigated in two different levels of research using two scale dimensions. To ascertain the existence and uniqueness of the solution, we qualitatively evaluate the model. We have used the Euler method to compute the numerical solution for the system. At the end, we provide the graphical results showing the effectiveness of two-scale dimension and fractional calculus in the current model. |
| format | Article |
| id | doaj-art-4e2fe29069274cc3b0630475c6bd570b |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-4e2fe29069274cc3b0630475c6bd570b2025-02-03T01:01:19ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/1725110ABC Fractional Derivative for Varicella-Zoster Virus Using Two-Scale Fractal Dimension Approach with VaccinationJirong Yang0Farkhanda Afzal1Perpetual Appiah2Shaanxi University of Chinese MedicineMCSDepartment of MathematicsChickenpox or varicella is an infectious disease caused by the varicella-zoster virus VZV. This virus is the cause of chickenpox (usually a primary infection in the nonimmune host) and herpes zoster. In this paper, a compartmental model for the dynamics of VZ transmission with the effect of vaccination is solved using the ABC fractional derivative. The possibility of using the fractal dimension as a biomarker to identify different diseases is being investigated. The problem is investigated in two different levels of research using two scale dimensions. To ascertain the existence and uniqueness of the solution, we qualitatively evaluate the model. We have used the Euler method to compute the numerical solution for the system. At the end, we provide the graphical results showing the effectiveness of two-scale dimension and fractional calculus in the current model.http://dx.doi.org/10.1155/2022/1725110 |
| spellingShingle | Jirong Yang Farkhanda Afzal Perpetual Appiah ABC Fractional Derivative for Varicella-Zoster Virus Using Two-Scale Fractal Dimension Approach with Vaccination Advances in Mathematical Physics |
| title | ABC Fractional Derivative for Varicella-Zoster Virus Using Two-Scale Fractal Dimension Approach with Vaccination |
| title_full | ABC Fractional Derivative for Varicella-Zoster Virus Using Two-Scale Fractal Dimension Approach with Vaccination |
| title_fullStr | ABC Fractional Derivative for Varicella-Zoster Virus Using Two-Scale Fractal Dimension Approach with Vaccination |
| title_full_unstemmed | ABC Fractional Derivative for Varicella-Zoster Virus Using Two-Scale Fractal Dimension Approach with Vaccination |
| title_short | ABC Fractional Derivative for Varicella-Zoster Virus Using Two-Scale Fractal Dimension Approach with Vaccination |
| title_sort | abc fractional derivative for varicella zoster virus using two scale fractal dimension approach with vaccination |
| url | http://dx.doi.org/10.1155/2022/1725110 |
| work_keys_str_mv | AT jirongyang abcfractionalderivativeforvaricellazostervirususingtwoscalefractaldimensionapproachwithvaccination AT farkhandaafzal abcfractionalderivativeforvaricellazostervirususingtwoscalefractaldimensionapproachwithvaccination AT perpetualappiah abcfractionalderivativeforvaricellazostervirususingtwoscalefractaldimensionapproachwithvaccination |