Analysis of A Mathematical Model and Simulation of Chlamydia trachomatis in a Human Carrier

Abstract

In this paper, a mathematical model describing the dynamics of Chlamydia trachomatis infection in a human carrier is presented. It has been suggested that cell-mediated immunity, not humoral immunity, plays the dominant role in protective immunity against Chlamydia. The model incorporated relevant feature such as recovery through drug administration. The existence and uniqueness of solutions of the model were examined by actual solution. We conduct local and global stability analysis for the model. The results show that it is stable under certain conditions. The system of equations were solved analytically using parameter-expanding method coupled with direct integration. The results are presented graphically and discussed. It is discovered that the influence of burst size per infected cell, rate of cell infection and recovery rate due to drug administration is quite significant.