Mathematical Analysis of a Chlamydia Epidemic Model with Pulse Vaccination Strategy

摘要

In this paper, we have considered a dynamical model of Chlamydia disease with varying total population size, bilinear incidence rate and pulse vaccination strategy. We have defined two positive numbers R-0 and R-1( <= R-0). It is proved that there exists an infection-free periodic solution which is globally attractive if R-0 < 1 and the disease is permanent if R-1 > 1: The important mathematical findings for the dynamical behaviour of the Chlamydia disease model are also numerically verified using MATLAB. Finally epidemiological implications of our analytical findings are addressed critically.