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An S-I-S Model of Streptococcal Disease with a Class of Beta-Hemolytic Carriers

We analyzed the dynamics of an epidemic in a population infected with Streptococcal pyogenes (S. pyogenes), the causative agent in strep throat, with a Susceptible--Infected--Susceptible (S-I-S) model that includes an extra class of infectious carriers. Our model represents a three dimensional nonlinear differential equation system, which describes the spread of the disease in a population with three epidemiological classes: susceptible (S), infected (I) and beta-hemolytic carriers (C). We focus on the impact that the classes (I) and (C) have on (S), and the rate at which groups move in and out of the infectious state. Lastly, we study the long term dynamics of the disease in the population.

Article Number:
BU-1524-M

Year:
1999

Authors:
Kevin Doura, Howard University
Julio D. Meléndez-Morales, University of Puerto Rico, Humacao
Gigi G. Meyer, Virginia Polytechnic Institute and State University
Luis E. Pérez, University of California, Irvine

sis_model_of_steptococcal_disease_with_a_class_of_beta_hemolytic_carriers.pdf