Cervical cancer is the fourth most common cancer among women worldwide. It is primarily caused by the human papillomavirus (HPV), which is transmitted mainly through sexual contact but also through environmental exposure. In Cameroon, the mother-child program which combines awareness-raising, vaccination, and screening represents a promising strategy whose impact can be assessed through mathematical modeling.

In this thesis, we developed a mathematical model describing interactions within the population and the effect of the mother-child program on the dynamics of HPV transmission, progression to cervical cancer, and associated deaths. The model includes various population groups, health care workers, and facilitators. It also incorporates parental consent for the vaccination of children aged 9 to 14, the vaccination of women who test negative for HPV, and the management of women who test positive.

We then identified an optimal strategy aimed at reducing the number of infected individuals while minimizing the cost associated with recruiting facilitators. Numerical simulations highlight the effectiveness of the mother-child program when implemented optimally.

This study contributes to our understanding of HPV transmission and serves as a decision-making tool for policymakers. It highlights the importance of public awareness, recruiting facilitators, vaccination, and regular screening in the prevention of cervical cancer.