An Analysis of the Transmission of Chlamydia in a Closed Population

C. F. MARTIN, L. J. S. ALLEN AND M. S. STAMP Department of Mathematics, Texas Tech University, Lubbock, TX 79409

In this paper, two models, based on the idea of urn models, for the spread of chlamydia in a closed population are presented. Difference equations are derived and analyzed for the expected number of infections in the population. The stability analysis of the difference equations is accomplished using techniques based on Lyapunov methods. There exist two equilibria, an endemic equilibrium and the trivial equilibrium (infection-free). To reduce the level of infection, so that the trivial equilibrium is approached, the basic reproductive rate, R0, must be reduced to a level less than unity.

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