Mathematical Model of Infertility Due to Obesity in Female

Year 2018, Issue: 25, 38 - 49, 06.10.2018

Nita H. Shah Shivani M. Patel Moksha H. Satia Foram A. Thakkar

Abstract

Now-a-days the issue of obesity is increasing worldwide due to food habits and has become a major problem. A primary reason for the exponential increase in obesity is due to consumption of high calorie food. Obesity has injurious effect on human health including the reproductive system in female. The risk of infertility, miscarriage rate and pregnancy complications are more in obese female. The impact of obesity is very risky in maturity phase of female. In order to study the impact of infertility in susceptible female due to obesity, the system of non-linear ordinary differential equations is formulated. The stability analysis is studied for infertility model. Numerical simulation is carried out using data to support the proposed analysis.

Keywords

Mathematical Model, Obesity, Infertility, Basic Reproduction Number, Stability, Simulation

References

• [1] Diekmann, O., Heesterbeek, J. A. P., & Roberts, M. G. (2009). The construction of next-generation matrices for compartmental epidemic models. Journal of the Royal Society Interface, rsif20090386.
• [2] http://reelsaltlife.blogspot.in/2012/02/health-one-of-most-important-factor-in.html
• [3] http://www.medbroadcast.com/condition/getcondition/obesity
• [4] https://www.hsph.harvard.edu/obesity-prevention-source/obesity-causes/
• [5] https://www.news-medical.net/health/Obesity-and-Fast-Food.aspx
• [6] https://www.nhs.uk/conditions/obesity/causes/
• [7] https://www.webmd.com/infertility-and-reproduction/news/20071211/obesity-linked-to-infertility-in-women#1 [8] Routh, E. J. (1877). A treatise on the stability of a given state of motion: particularly steady motion. Macmillan and Company.
• [9] Shah, N. H., Satia, H., & Yeolekar, M. (2017). Optimal Control on depletion of Green Belt due to Industries. Advances in Dynamical Systems and Applications, 12(3), 217-232.
• [10] Shah, N. H., Satia, M. H., & Yeolekar, B. M. (2017). Optimum Control for Spread of Pollutants through Forest Resources. Applied Mathematics, 8(5), 607atics, 8(05), 607.
• [11] Shah, N. H., Thakkar, F. A., & Yeolekar, B. M. (2016). Dynamics of parking habits with punishment: An application of SEIR model. Journal of Basic and Applied Research International, 19(3), 168-174.