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|Title: ||A Note on the Spread of Infectious Diseases in a Large Susceptible Population|
|Authors: ||Barnes, Benedict|
Aidoo, A. Y.
Darkwah, K. F.
|Keywords: ||Analytic solution|
|Issue Date: ||2012|
|Publisher: ||International Mathematical Forum|
|Citation: ||International Mathematical Forum, Vol. 7, 2012, no. 50, 2481 - 2492|
|Abstract: ||In this paper, we show that the recovery compartment of an epidemiological
model for a disease in large susceptible population in an
SIR model, is determined by the size of the population. We show that,
for a large susceptible population, the transient distribution for the recovery
compartment does not follow the usual a hyperbolic curve for a
small population, but rather an exponential function. In addition, we
show that the function for the recovered population has two equilibrium
points which have characteristics of transcritical bifurcation.|
|Description: ||An article published in International Mathematical Forum, Vol. 7, 2012, no. 50, 2481 - 2492|
|Appears in Collections:||College of Science|
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