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Volume 7, Issue 2, April 2019, Page: 21-25
Mathematical Modeling of Cervical Cancer with HPV Transmission and Vaccination
Abdulsamad Engida Sado, Mathematics Department’s, College of Natural and Computational Sciences, Bule Hora University, Bule Hora, Ethiopia
Received: Mar. 1, 2019;       Accepted: May 24, 2019;       Published: Jun. 26, 2019
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.
Keywords
Cervical Cancer, Mathematical Modeling, Numerical Solution, Human Papillomavirus
Abdulsamad Engida Sado, Mathematical Modeling of Cervical Cancer with HPV Transmission and Vaccination, Science Journal of Applied Mathematics and Statistics. Vol. 7, No. 2, 2019, pp. 21-25. doi: 10.11648/j.sjams.20190702.13
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