Bifurcation and Stability Analysis of the Dynamics of Gonorrhea Disease in the Population

The model was governed by a system of ordinary differential equations; the population into susceptible individuals (S), Exposed individuals (E), infected individuals (I) and Recovered individuals (Q). Theory of positivity and boundedness was used to investigate the well-posedness of the model. Equilibrium solutions were investigated analytically. The basic reproduction number (R0) were calculated using the next generation operator method. Bifurcation analysis and global stability of the model were carried out using centre manifold theory and Lyapunov functions respectively. The effects of parameters such as efficacy of Condom (κ), Effective Contact Rate (β), Compliance of Condom (θ), Progression Rate (ρ) and Treatment Rate (α) on R0 were explored through sensitivity analysis. The possibility of mitigating the spread of gonorrhea in the population has been studied. It can be concluded that parameters representing efficacy of Condom, Effective Contact Rate, Compliance of Condom, Progression Rate and Treatment Rate are significant in reducing the burden of gonorrhea disease in the population.