Mathematical Modeling of Cervical Cancer with HPV Transmission and Vaccination

Abstract

Cervical cancer is the most common cancer which affects women next to breast cancer in the worldwide. Most cervical cancers are related to Human Papillomavirus (HPV) infection. We can prevent about 40% of cancer through Primary prevention and considered as the most cost-effective way of battling cancer. In this paper I have constructed a mathematical model of cervical cancer with Human papilloma virus transmission with and without vaccination. Infection with human papillomavirus (HPV) is the main cause of cervical cancer. To construct the mathematical model I consider the population in four compartment (the number of susceptible women, the number of infected women with HPV. Since HPV infected human may or may not infected by cervical cancer, we have two additional compartments, the number of Infectious HPV women population who are uninfected with cervical cancer and number of Infectious HPV women population who are infected with cervical cancer. Ordinary differential equation is used to construct the model and dimension less model is obtained, then the model validity lucidly verified using simulation study and mathematical analysis tools. These models have generally shown that vaccinating females can be technique to reduce and control cervical cancer. Essential observations are made from the simulation study and physical interpretations are drawn and presented strongly in the paper.

Modelling suggests that high human papilloma virus (HPV) vaccination coverage in combination with high uptake screening can lead to cervical cancer elimination in most low-income and lower-middle-income countries (LMICs) by the end of the century

“…Evidence suggests that HPV vaccination is a safe and effective way to prevent cervical cancer 2. Mathematical modelling largely confirms this 3…”

Between Host Model for Cervical Cancer Incorporating Diagnosis

“…However, appropriate treatment and palliative care can handle late stage diagnosed cancers. Public health problem like cervical cancer can be eliminated if a comprehensive approach to prevention, screening and treatment is done [2,3,4].…”

Mathematical Analysis of HPV and Cervical Cancer Model in the Presence of Protection

“…However, appropriate treatment and palliative care can handle late stage diagnosed cancers. Public health problem like cervical cancer can be eliminated if comprehensive approach to prevention, screening and treatment is done [6,7].…”

“…Screening has been studied numerously [10,11]. Vaccination has also been presented [6,12,13,10,14,11], but Screening and vaccination alone is unlikely to lead to elimination of HPV and cervical cancer thus, effective programs to reduce HPV transmission are still needed.…”