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. 2024 Feb 6;14(1):3048.
doi: 10.1038/s41598-024-53696-8.

Fractional view analysis of sexual transmitted human papilloma virus infection for public health

Mohammed Cherif Bahi  1   2 , Salma Bahramand  3 , Rashid Jan  4 , Salah Boulaaras  5 , Hassan Ahmad  6 , Rafik Guefaifia  7
Affiliations

Fractional view analysis of sexual transmitted human papilloma virus infection for public health

Mohammed Cherif Bahi et al. Sci Rep. .

Abstract

The infection of human papilloma virus (HPV) poses a global public health challenge, particularly in regions with limited access to health care and preventive measures, contributing to health disparities and increased disease burden. In this research work, we present a new model to explore the transmission dynamics of HPV infection, incorporating the impact of vaccination through the Atangana-Baleanu derivative. We establish the positivity and uniqueness of the solution for the proposed model HPV infection. The threshold parameter is determined through the next-generation matrix method, symbolized by [Formula: see text]. Moreover, we investigate the local asymptotic stability of the infection-free steady-state of the system. The existence of the solutions of the recommended model is determined through fixed-point theory. A numerical scheme is presented to visualize the dynamical behavior of the system with variation of input factors. We have shown the impact of input parameters on the dynamics of the system through numerical simulations. The findings of our investigation delineated the principal parameters exerting significant influence for the control and prevention of HPV infection.

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Conflict of interest statement

The authors declare no competing interests.

Figures

Figure 1
Figure 1
Illustration of the flow chart of the dynamics of the infection of human papilloma virus.
Figure 2
Figure 2
Time series analysis of the proposed model of HPV with the variation of the input factor υ, i.e., υ=0.85,0.90,0.95,1.00.
Figure 3
Figure 3
Time series analysis of the proposed model of HPV with the variation of the input factor υ, i.e., υ=0.5,0.6,0.7,0.8.
Figure 4
Figure 4
Graphical view analysis of the dynamical behaviour of our model of HPV with different values of input factor β, i.e., β=0.20,0.40,0.60,0.80.
Figure 5
Figure 5
Graphical view analysis of the dynamical behaviour of our model of HPV with different values of input factor ρ, i.e., β=0.45,0.55,0.65,0.75.
Figure 6
Figure 6
Illustration of the tracking paths of the suggested model of HPV with the variation of the input parameter θ, i.e., θ=0.20,0.30,0.40,0.50.
Figure 7
Figure 7
Illustration of the tracking paths of the suggested model of HPV with the variation of the input parameter η, i.e., η=0.25,0.30,0.35,0.40.
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