Diabetes is a human disease that can lead to blindness, strokes, and amputations of people’s limbs. The effects of diabetes are not limited to the sickness it causes in the human body, it also has a major influence on the worldwide economy, as evidenced by the fact that over 500 billion USD is spent each year on the diagnosis, care, and treatment of diabetes. Diabetes is gradually becoming a menace in Kenya, considering that the number of deaths from diabetes and diabetes-related illnesses have increased in the recent time. With the rapid increase in the reported diabetic cases, it is only a matter of time before the Healthcare facilities and resources become overburdened. This study investigates the effect of a fixed number of available health resources on the progression of diabetes. To represent the dynamics of diabetes with a constant hospitalization rate, a system of ordinary differential equations is formulated. The model is established to be well-posed, positive, and bounded, and the local stability of the equilibrium points is established. The reproduction number is calculated using the next generation matrix. The model is numerically solved and the results are graphed using the explicit Runge-Kutta (4,5)-th order. Improvements in the susceptible class’s lifestyle quality diminish migration from the susceptible subpopulation to the diabetic population.
| Published in | Advances in Applied Sciences (Volume 7, Issue 4) |
| DOI | 10.11648/j.aas.20220704.14 |
| Page(s) | 125-134 |
| 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), 2022. Published by Science Publishing Group |
Diabetes, Hospitalisation, Mathematical Modelling, Per Capita Hospitalisation Rate
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APA Style
Robert Nyatundo Andima, Winifred Nduku Mutuku, Nyabadza Farai, Kennedy Awuor, Abayomi Samuel Oke. (2022). Impact of Fixed Allocation of Health Resources on Diabetes in Kenya: Mathematical Modelling Approach. Advances in Applied Sciences, 7(4), 125-134. https://doi.org/10.11648/j.aas.20220704.14
ACS Style
Robert Nyatundo Andima; Winifred Nduku Mutuku; Nyabadza Farai; Kennedy Awuor; Abayomi Samuel Oke. Impact of Fixed Allocation of Health Resources on Diabetes in Kenya: Mathematical Modelling Approach. Adv. Appl. Sci. 2022, 7(4), 125-134. doi: 10.11648/j.aas.20220704.14
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Download@article{10.11648/j.aas.20220704.14,
author = {Robert Nyatundo Andima and Winifred Nduku Mutuku and Nyabadza Farai and Kennedy Awuor and Abayomi Samuel Oke},
title = {Impact of Fixed Allocation of Health Resources on Diabetes in Kenya: Mathematical Modelling Approach},
journal = {Advances in Applied Sciences},
volume = {7},
number = {4},
pages = {125-134},
doi = {10.11648/j.aas.20220704.14},
url = {https://doi.org/10.11648/j.aas.20220704.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.aas.20220704.14},
abstract = {Diabetes is a human disease that can lead to blindness, strokes, and amputations of people’s limbs. The effects of diabetes are not limited to the sickness it causes in the human body, it also has a major influence on the worldwide economy, as evidenced by the fact that over 500 billion USD is spent each year on the diagnosis, care, and treatment of diabetes. Diabetes is gradually becoming a menace in Kenya, considering that the number of deaths from diabetes and diabetes-related illnesses have increased in the recent time. With the rapid increase in the reported diabetic cases, it is only a matter of time before the Healthcare facilities and resources become overburdened. This study investigates the effect of a fixed number of available health resources on the progression of diabetes. To represent the dynamics of diabetes with a constant hospitalization rate, a system of ordinary differential equations is formulated. The model is established to be well-posed, positive, and bounded, and the local stability of the equilibrium points is established. The reproduction number is calculated using the next generation matrix. The model is numerically solved and the results are graphed using the explicit Runge-Kutta (4,5)-th order. Improvements in the susceptible class’s lifestyle quality diminish migration from the susceptible subpopulation to the diabetic population.},
year = {2022}
}
TY - JOUR T1 - Impact of Fixed Allocation of Health Resources on Diabetes in Kenya: Mathematical Modelling Approach AU - Robert Nyatundo Andima AU - Winifred Nduku Mutuku AU - Nyabadza Farai AU - Kennedy Awuor AU - Abayomi Samuel Oke Y1 - 2022/11/12 PY - 2022 N1 - https://doi.org/10.11648/j.aas.20220704.14 DO - 10.11648/j.aas.20220704.14 T2 - Advances in Applied Sciences JF - Advances in Applied Sciences JO - Advances in Applied Sciences SP - 125 EP - 134 PB - Science Publishing Group SN - 2575-1514 UR - https://doi.org/10.11648/j.aas.20220704.14 AB - Diabetes is a human disease that can lead to blindness, strokes, and amputations of people’s limbs. The effects of diabetes are not limited to the sickness it causes in the human body, it also has a major influence on the worldwide economy, as evidenced by the fact that over 500 billion USD is spent each year on the diagnosis, care, and treatment of diabetes. Diabetes is gradually becoming a menace in Kenya, considering that the number of deaths from diabetes and diabetes-related illnesses have increased in the recent time. With the rapid increase in the reported diabetic cases, it is only a matter of time before the Healthcare facilities and resources become overburdened. This study investigates the effect of a fixed number of available health resources on the progression of diabetes. To represent the dynamics of diabetes with a constant hospitalization rate, a system of ordinary differential equations is formulated. The model is established to be well-posed, positive, and bounded, and the local stability of the equilibrium points is established. The reproduction number is calculated using the next generation matrix. The model is numerically solved and the results are graphed using the explicit Runge-Kutta (4,5)-th order. Improvements in the susceptible class’s lifestyle quality diminish migration from the susceptible subpopulation to the diabetic population. VL - 7 IS - 4 ER -
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