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Journal of Applied Sciences and Environmental Management
World Bank assisted National Agricultural Research Project (NARP) - University of Port Harcourt
ISSN: 1119-8362
Vol. 21, No. 4, 2017, pp. 626-638
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Bioline Code: ja17067
Full paper language: English
Document type: Research Article
Document available free of charge
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Journal of Applied Sciences and Environmental Management, Vol. 21, No. 4, 2017, pp. 626-638
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Analysis of a Mathematical Model to Investigate the Dynamics of Dengue Fever
JAMES, ANDRAWUS & EGUDA, FELIX YAKUBU
Abstract
In this paper, we formulated a compartmental model to investigate the dynamics
of dengue fever in a population with some measure of disease control. We qualitatively and
quantitatively analyzed the model and found that the model has a disease free equilibrium
(DFE), an endemic equilibrium point and undergoes the phenomenon of backward bifurcation.
It was also discovered that Dengue can be eliminated irrespective of the initial size of the
infected population whenever the effective reproduction number is less than one. Numerical
simulations were carried out on the model and effective control measures were proposed that
will result in reducing the burden of the disease in the population.
Keywords
Dengue Fever; Mathematical Model; Equilibrium, Bifurcation analysis; Effective reproduction number; Stability.
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© Copyright 2017 - Journal of Applied Sciences and Environmental Management
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