Dynamical analysis of a generalized hepatitis B epidemic model and its dynamically consistent discrete model

The aim of this work is to study qualitative dynamical properties a generalized hepatitis B epidemic model and its dynamically consistent discrete model. Positivity, boundedness, the basic reproduction number asymptotic stability are analyzed rigorously. By Lyapunov theory Poincare–Bendixson theorem in combination with Bendixson-Dulac criterion, we show that disease-free equilibrium point globally asymptotically stable if R 0 ? 1 disease-endemic whenever > . Next, apply Mickens’ methodology propose nonstandard finite difference (NSFD) scheme for continuous rigorous mathematical analysis, it proved constructed NSFD preserves essential features all step sizes. Finally, numerical experiments conducted illustrate theoretical findings demonstrate advantages over standard ones. obtained results not only improve but also generalize some existing recognized works. • A proposed studied. Qualitative constructed. set examples reported support findings.