Numerical treatment of a nonlinear dynamical Hepatitis-B model: an evolutionary approach

Hepatitis-B is the world’s number one public health epidemic. Vast population of infects in developing countries is yet at risk. Generally, the mathematical model of Hepatitis-B is nonlinear and therefore changeable to solve by traditional analytical and finite difference schemes by processing all properties of model like boundedness, positivity, feasibility. In this paper, an unconditionally convergent semi-analytical approach based on modern evolutionary computational technique and Pade approximation (EPA) has been implemented for the treatment of nonlinear Hepatitis-B model. The convergence solution of EPA scheme on different compartments of population has been studied and found to be significant with robust and durable solution. Eventually, EPA reduces contaminated levels very rapidly, without the need to supply step size.