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-  2017 

Classification and sensitivity analysis of the transmission dynamic of hepatitis B

DOI: 10.1186/s12976-017-0068-3

Keywords: Hepatitis B epidemic model, Basic reproduction number, Stability analysis, Lyapunov function theory, Geometrical approach, Numerical simulation

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Abstract:

Solution curves of model (1) with respect to the following parameter values and initial size of the compartmental population b?=?0.0121, ξ?=?0.8, η?=?0.11, β?=?0.012, γ?=?0.46, ζ?=?0.0123, σ?=?0.0012, φ?=?0.01, ψ?=?0.012, v?=?0.6, p?=?0.6, γ 1?=?0.33, γ 2?=?0.009, γ 3?=?0.025, μ 0?=?0.069, μ 1?=?0.000532, μ 2?=?0.000532, S(0)?=?100, A(0)?=?70, B(0)?=?60, C(0)?=?50, R(0)?=?0, and V(0)?=?30

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