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Scholars Journal of Physics, Mathematics and Statistics | Volume-5 | Issue-02
Modelling HIV Viral Propagation using the First Generation and Eigen-value Approaches
Confess Matete, Memory Mandiudza
Published: March 30, 2018 |
104
85
DOI: 10.21276/sjpms.2018.5.2.5
Pages: 130-136
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Abstract
The parameter, , called the basic reproduction number, can be obtained
by the methods called First Generation and Eigen-value Approaches. The significance
of this parameter is to summarize the dynamics of an infection in human populations.
This parameter is called a threshold parameter. A population gets infected by an
infectious disease if Epidemiologists thrive to have so that the
disease dies out. However, some simple models of bacterial-caused diseases (such as
malaria) revealed that, in theory, it is possible for an infection to persist indefinitely
even if we have . If we encounter such a scenario, we call it a bitable
equilibrium. This paper focuses mainly on the analysis of the Disease-Free
Equilibrium Point [DFEP], using the first generation and eigen-value approaches to
see the circumstances surrounding the propagation of an infectious disease.