A MATHEMATICAL MODEL FOR DIABETES MANAGEMENT
DOI:
https://doi.org/10.33003/fjs-2022-0605-1091Keywords:
Diabetes, Dietary, Epinephrine, Glucose, Insulin, Physical ExerciseAbstract
Treating and controlling of diabetes is called diabetes management. The management of diabetes can be done through improvement of the patient dietary knowledge, attitudes, and practices. This research work is aimed at introducing dietary (diet restriction) to an earlier model for the detection and control of diabetes: to study the effect of physical exercise and dietary on excess glucose, insulin and epinephrine concentrations in the blood in managing diabetes. The resulting model is found to be uniformly and asymptotically stable. The result shows that when physical exercise is combined with recommended dietary in the management of diabetes, the excess glucose, insulin and epinephrine concentrations returns to their normal level faster with time compared to when only physical exercise is used as a control measure. Hence, it is recommended that in the management of diabetes, both physical exercise and dietary should be used as control measures
References
Abaje, I.B., Sawa, B.A. and Ati, O.F. (2014). Climate variability and change, impacts and adaptation strategies in Dutsin-Ma Local Government Area of Katsina State, Nigeria. Journal of Geography and Geology, 6 (2), 103-112.
Anthonj, C., Fleming, L., Godfrey, S., Ambelu, A., Bevan, J., Cronk, R. and Bartram, J. (2018). Health Risk Perceptions Are Associated with Domestic Use of Basic Water and Sanitation Services Evidence from Rural Ethiopia, Int. J. Environ. Res. PublicHealth, 15: 2112-2131
Bogumil, T. (2012). Mining-Induced Displacement and Resettlement: Social Problem and Human Rights Issue (A Global Perspective)". Rochester, NY. doi:10.2139/ssrn.2028490
Chile, L. M. and Black X. M. (2015). University–community engagement: Case study of university social responsibility, Education Citizenship and Social Justice 10(3):234 –253, DOI: 10.1177/1746197915607278de
Comptour, M., Caillon, S., Rodrigues, L and McKey, D. (2018). Wetland Raised-Field Agriculture and Its Contribution to Sustainability: Ethnoecology of a Present-Day African System and Questions about Pre-Columbian Systems in the American Tropics, Sustainability 2018, 10, 3120; doi:10.3390/su10093120
www.mdpi.com/journal/sustainability
Encyclopaedia Britannica (2012). Jigawa. Encyclopedia Britannica. Augustyn, A. et al., (Eds.) https://www.britannica.com/place/Jigawa
Food and Agricultural Organization (FAO, 2018). Guidance on spatial technologies for disaster risk management in aquaculture. A Handbook. Aguilar-Manjarrez, J., Wickliffe, L.C. & Dean, A., (eds.) Rome, FAO. 120 pp
Gebreslasie, M. (2015). A review of spatial technologies with applications for malaria transmission modelling and control in Africa. Geospatial health 10(2): 239-247
Jimenez, E., Waddington, H., Goel, N., Prost, A., Pullin, A., and White, H. (2018). Mixing and matching: using qualitative methods to improve quantitative impact evaluations (IEs) and systematic reviews (SRs) of development outcomes, Journal of Development Effectiveness 10(4): 400-421.
Justino, P. (2011). The hidden crisis: Armed conflict and education. Paper commissioned for the EFA Global Monitoring Report 2011, 2011/ED/EFA/MRT/PI/30. 29p Background paper prepared for the Education for All Global Monitoring Report 2011. Available at: https://unesdoc.unesco.org/ark:/48223/pf0000190710 Accessed on October 4, 2020
Mares, R. (2012). "Corporate Responsibility and Compliance with the Law: A Case Study of Land, Dispossession, and Aftermath at Newmont's Ahafo Project in Ghana". Business and Society Review. 1172: 233–280.
Mi, W., Rybalchenko, V., and Cannon, S. C. (2014). Disrupted coupling of gating charge displacement to Na+ current activation for DIIS4 mutations in hypokalemic periodic paralysis. The Journal of General Physiology, 144(2): 137-145.
Mossoux, S.I., Kervyn, M., Soulé, H. and Canters, F. (2018). Mapping Population Distribution from High Resolution Remotely Sensed Imagery in a Data Poor Setting Remote Sens. 2018, 10, 1409; doi:10.3390/rs10091409.
Murtala U. M., Nafiu Z., (2021). Housing and Neighbourhood QualityDeprivation in Fagoji Area of Dutse,Jigawa State, Nigeria. Dutse Journal of Pure and Applied Sciences 7 (1): 120- 130
Musari, A. (2016). Much ado about educationally less developed states. Available online at: https://guardian.ng/features/much-ado-about-educationally-less-developed-states/ Retrieved on June 14, 2020
NAERLS and FMARD (2020). 2020 Wet Season Agricultural Performance in Nigeria. A national report by NAERLS press, Zaria. 290pgs. ISSN: 2408-7459
Nigerian Universities Commission (NUC, 2020). Nigerian University System Statistical Digest. https://www.nuc.edu.ng/tag/statistical-digest/
Nygren, B. L., O'Reilly, C. E., Rajasingham, A., Omore, R., Ombok, M., Awuor, A. O., Jaron, P., Moke, F., Vulule, J., Laserson, K., Farag, T. H., Nasrin, D., Nataro, J. P., Kotloff, K. L., Levine, M. M., Derado, G., Ayers, T. L., Lash, R. R., Breiman, R. F., and Mintz, E. D. (2016). The Relationship Between Distance to Water Source and Moderate-to-Severe Diarrhea in the Global Enterics Multi-Center Study in Kenya, 2008-2011. The American journal of tropical medicine and hygiene, 94(5): 1143–1149. https://doi.org/10.4269/ajtmh.15-0393
Olawepo, R. A. (2008) Resettlement and Dynamics of Rural Change in Jebba Lake Basin, Nigeria, Journal of Social Sciences, 16:2, 115-120
OlliLehtonen, P. and Okkonen, L. (2016). Socio-economic impacts of a local bioenergy-based development strategy – The case of Pielinen Karelia, Finland. Renewable Energy 85: 610-619 https://doi.org/10.1016/j.renene.2015.07.006
Oucho. J. O. (2014) Environmental impact of refugees and internally displaced persons in sub-Saharan Africa. Available at: https://www.warwick.ac.uk/fac/soc/crer/research/mariecurie/afrobrain/oucho/publications/environmental_impact_of_refugees_and_internally_displaced_persons_in_sub.doc.
Polash B. and Mrinal K. G. (2016). Spatial analysis of environmental impacts of highway projects with special emphasis on mountainous area: an overview, Impact Assessment and Project Appraisal, 34:4, 279-293
Rela, I.Z., Awang, a.H., Ramli, Z., Taufik, Y., Md Sum, S., and Muhammad, M. (2020). Effect of Corporate Social Responsibility on Community Resilience: Empirical Evidence in the Nickel Mining Industry in Southeast Sulawesi, Indonesia. Sustainability 2020, 12, 1395; doi:10.3390/su12041395
Sahoo, T,. Prakash, U. and Sahoo, M. (2014). Sardar Sarovar Dam Controversy- A Case Study. Global Journal of Finance and Management. 6: 887–892.
Sherbinin, A., Carr, D., Cassels, S., and Jiang, L. (2007). Population and Environment. Annual review of environment and resources, 32, 345 - 373. https://doi.org/10.1146/annurev.energy.32.041306.100243
Shoaib, A. and Ariaratnam, S. (2016). A Study of Socioeconomic Impacts of Renewable Energy Projects in Afghanistan Procedia Engineering 145: 995-1003
The Global Program on Forced Displacement (GPFD, 2015). Forced Displacement. http://www.worldbank.org/en/programs/forceddisplacement
Ujoh, F. (2014). Population Growth and Land Resource Conflicts in Tivland, Nigeria Resources and Environment 4(1): 67-78 DOI: 10.5923/j.re.20140401.08
UNDP (2015) Migration and displacement.http://www.undp.org/content/undp/en/home/sustainable-development/economic-recovery/migration-and-displacement.html
Wang, Y. and Wall, G. (2008). Administrative arrangements and displacement compensation in top-down tourism planning—A case from Hainan Province, China. Tourism Management 28 (1): 70-82
Weber, E. M., Seaman, V. Y., Stewart, R. N., Bird, T. J., Tatem, A. J., McKee, J. J., Bhaduri, B. L., Moehl, J. J., & Reith, A. E. (2018). Census-independent population mapping in northern Nigeria. Remote sensing of environment, 204, 786–798.
White, H., and D. A. Raitzer. (2017). Impact Evaluation of Development Interventions: A Practical Guide. Manila: Asian Development Bank. doi:10.22617/Tcs179188-2. 217 Pgs
Yntiso, G. (2008). Urban Development and Displacement in Addis Ababa: The Impact of Resettlement Projects on Low-Income Households. Eastern Africa Social Science Research Review 24(2): 53-77. doi:10.1353/eas.0.0001.
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