STABILITY ANALYSIS OF A SHIGELLA INFECTION EPIDEMIC MODEL AT ENDEMIC EQUILIBRIUM

In this study, we modified continuous mathematical model for the dynamics of shigella outbreak at constant recruitment rate formulated by (Ojaswita et al., 2014). their model, they partitioned population into Susceptible (S), Infected (I) and recovered (R) individuals. We incorporated a vaccinated class (V), educated (G), exposed (E), asymptomatic (A) hospitalized (H) Bacteria (B) with corresponding parameters. analyzed SVGEAIHRB compartmental nonlinear deterministic epidemic in community population. Analytical studies were carried out on using method linearized stability. The basic reproductive number that governs disease transmission is obtained from largest eigenvalue next-generation matrix. endemic equilibrium computed proved to be locally globally asymptotically stable if unstable . Finally, simulate system MATLAB graphical behavior infected compartments. From simulation, observed infection was eradicated when while it persist environment