Sensitivity Analysis of the Gonorrhea Disease Transmission and its Equilibria

Akanni John Olajide, Adediipo Adeola David & Akinpelu Foluke O.

Abstract


In this paper we formulate an SEIR (Susceptible – Exposed - Infective - Recovered) model of Gonorrhea disease transmission with constant recruitment. The threshold parameter R0< 0, known as the Basic Reproduction Number was found. This model has two equilibria, disease-free equilibrium and endemic equilibrium. By constructing suitable Lyapunov function, it was discovered that the disease-free equilibrium is globally asymptotic stable whenever R0 is less than one and when it is greater than one, the endemic equilibrium is globally asymptotic stable. Increasing the value of any of the parameters,, increases the basic reproduction number, Ro, and the magnitude of the infectious individual in the community  increases accordingly. Conversely, increasing the value of either, decreases the basic reproduction number, Ro, and the magnitude of the infectious individuals in the community decreases accordingly. Therefore, it is pertinent to conclude that efforts at reducing the basic reproduction number of a disease should be encouraged in order to achieve a disease-free population.


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