Numerical analysis of delayed MSLIR epidemic model of HBV disease dynamics
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Date
2021-12-16
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UMT Lahore
Abstract
This thesis involves numerical solution of nonlinear delayed Immunized Susceptible Latent Infected Recovered (MSLIR) epidemic model of HBV disease. The dynamics involved in the transmission of HBV is mathematically formulated with considerations of different populations of individuals. This model is solved numerically with three different numerical techniques: forward Euler, RK-4, and the proposed non-standard finite difference (NSFD) techniques. The proposed (NSFD) technique becomes more efficient and reliable numerical technique than forward Euler and RK-4 technique. NSFD technique retains all essential characteristics of continuous (MSLIR) HBV epidemic model like positivity, stability of equilibrium, while well-known forward Euler and RK-4 cannot sustain these characteristics. Furthermore, the proposed technique is independent of time step size, while forward Euler and RK-4 depend on time step size. The numerical simulations with the aid of a numerical is presented for the validation of all traits. The model in this study is based on the standard SEIR model.