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A Generalised Mathematical Model of Hard-to-treat Infections with Culturing and Antibiotic Susceptibility Testing
ISSN: 2149 - 1402
Publisher: author
A Generalised Mathematical Model of Hard-to-treat Infections with Culturing and Antibiotic Susceptibility Testing
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Science General
ARTICLE-FACTOR
1.3
Article Basics Score: 2
Article Transparency Score: 2
Article Operation Score: 2
Article Articles Score: 3
Article Accessibility Score: 2
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International Category Code (ICC):
ICC-1402
Publisher: Journal Of New Theory Naim Çağman
International Journal Address (IAA):
IAA.ZONE/214974751402
eISSN
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2149 - 1402
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Abstract
A mathematical model for hard-to-treat infections with culturing and antibiotic susceptibility testing (CAST) as an intervention strategy in a population is formulated and analysed. The analysis of the model has been done qualitatively to investigate the existence and stability of equilibria. Using the Lyapunov function, the disease-free equilibrium of the model proved to be globally asymptotically stable with respect to the threshold quantity R_c1. However, the local stability of the endemic equilibrium is investigated using the method of row elimination. The model was validated using the Tuberculosis case in South Africa, and the result reveals that patients without adopting CAST strategy are prone to drug resistance and delay in quick response to the treatment regimen. On the contrary, individuals who have adopted the strategy have shown greater recovery potential from the infection. Based on that, self - medication, blind prescrip...
