Author(s)

Robert N. Andima¹, Winifred N. Mutuku¹, Nyabadza Farai², Kennedy Awuor¹, Abayomi Samuel Oke¹

¹Department of Mathematics and Actuarial Science, Kenyatta University, Nairobi, Kenya.
²Department of Mathematics and Applied Mathematics, University of Johannesburg, Johannesburg, South Africa.

Diabetes is a chronic disease in which the body is unable to convert the excess sugar into a useable form. It is chronic disease that is fast becoming a menace in the Kenyan communities. In this study, the response of the complicated diabetic cases is examined under a constrained hospitalisation setting. The mathematical model is formulated by incorporating the carrying capacity and the per capita hospitalization rate. The models are numerically solved in MATLAB using the explicit Runge-Kutta (4, 5) technique, and the results are shown as graphs. The findings suggest that improving the quality of life in the susceptible class will result in an increase in the susceptible class and a decrease in diabetes cases. Increasing the proportion of diabetics who seek treatment each month leads to an increase in the number of people admitted to the hospital. Increasing carrying capacity reduces the number of hospitalized people.

Diabetes, Hospitalisation, Mathematical Modelling, Constrained Hospitalisation Resources

Andima, R.N., Mutuku, W.N., Farai, N., Awuor, K. and Oke, A.S. (2022) Mathematical Modelling of Diabetes under a Constrained Hospitalisation Resources. Open Access Library Journal, 9, 1-14. doi: 10.4236/oalib.1109371.