A sensitivity analysis of a gonorrhoea dynamics and control model

TL;DR

This paper develops and analyzes a mathematical model of gonorrhoea transmission, examining how immunity, control measures, and class interactions influence disease dynamics and stability.

Contribution

It introduces a comprehensive gonorrhoea model incorporating passive immunity and control, with a detailed sensitivity analysis of key parameters affecting stability.

Findings

Both disease-free and endemic states are stable.

Model dynamics depend on waning immunity, control parameters, and class interactions.

Lower waning rate leads to increased susceptible population and passive immunity decay.

Abstract

We formulate and analyse a robust mathematical model of the dynamics of gonorrhoea incorporating passive immunity and control. Our results show that the disease-free and endemic equilibria of the model are both locally and globally asymptotically stable. A sensitivity analysis of the model shows that the dynamics of the model is variable and dependent on waning rate, control parameters and interaction of the latent and infected classes. In particular, the lower the waning rate, the more the exponential decrease in the passive immunity but the susceptible population increases to the equilibrium and wanes asymptotically due to the presence of the control parameters and restricted interaction of the latent and infected classes.