A Mathematical model of Psoriasis disease using a good diet (turmeric incorporated ) as a method to control the disease

Munira Salisu¹ , M.S. Atureta² , Manga M.M.³

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.3 , pp.64-68, Jun-2024

Online published on Jun 30, 2024

Copyright © Munira Salisu, M.S. Atureta, Manga M.M. . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this study, the method of control of psoriasis by using a good diet with turmeric incorporated, was adopted to have a better means of controlling the skin infection. The modification of the Nirmelendu and Biplap(2012) was modified,as the mathematical model contains three system of differential equations. From previous study and biological point of view, the skin comprises of the the three components such as the leucocytes, Keratinocytes and proteins hence the formulation of the equations based on the mentioned. When modelling, certain assumptions were put forth to formulate the three equations. A local stability analysis was considered to obtain a disease free equilibrium. This was obtain by the Jacobian matrix.Conclusively, The hyperactivity of the keratinocytes is being moderated by the turmeric which slows the activity of the proteins to signify the keratinocytes.

Key-Words / Index Term :
Psoriasis,Proteins,Keratinocytes,Leucocytes,Tcells,Chemokynes,Jacobian matrix, Disease free equilibrium, local stability, Immuno pathogenesis.

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