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.
| Published in | Science Journal of Applied Mathematics and Statistics (Volume 7, Issue 2) |
| DOI | 10.11648/j.sjams.20190702.13 |
| Page(s) | 21-25 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2019. Published by Science Publishing Group |
Cervical Cancer, Mathematical Modeling, Numerical Solution, Human Papillomavirus
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APA Style
Abdulsamad Engida Sado. (2019). Mathematical Modeling of Cervical Cancer with HPV Transmission and Vaccination. Science Journal of Applied Mathematics and Statistics, 7(2), 21-25. https://doi.org/10.11648/j.sjams.20190702.13
ACS Style
Abdulsamad Engida Sado. Mathematical Modeling of Cervical Cancer with HPV Transmission and Vaccination. Sci. J. Appl. Math. Stat. 2019, 7(2), 21-25. doi: 10.11648/j.sjams.20190702.13
AMA Style
Abdulsamad Engida Sado. Mathematical Modeling of Cervical Cancer with HPV Transmission and Vaccination. Sci J Appl Math Stat. 2019;7(2):21-25. doi: 10.11648/j.sjams.20190702.13
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Download@article{10.11648/j.sjams.20190702.13,
author = {Abdulsamad Engida Sado},
title = {Mathematical Modeling of Cervical Cancer with HPV Transmission and Vaccination},
journal = {Science Journal of Applied Mathematics and Statistics},
volume = {7},
number = {2},
pages = {21-25},
doi = {10.11648/j.sjams.20190702.13},
url = {https://doi.org/10.11648/j.sjams.20190702.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20190702.13},
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.},
year = {2019}
}
TY - JOUR T1 - Mathematical Modeling of Cervical Cancer with HPV Transmission and Vaccination AU - Abdulsamad Engida Sado Y1 - 2019/06/26 PY - 2019 N1 - https://doi.org/10.11648/j.sjams.20190702.13 DO - 10.11648/j.sjams.20190702.13 T2 - Science Journal of Applied Mathematics and Statistics JF - Science Journal of Applied Mathematics and Statistics JO - Science Journal of Applied Mathematics and Statistics SP - 21 EP - 25 PB - Science Publishing Group SN - 2376-9513 UR - https://doi.org/10.11648/j.sjams.20190702.13 AB - 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. VL - 7 IS - 2 ER -
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