Numerical treatment of a nonlinear dynamical Hepatitis-B model: an evolutionary approach
- PDF / 2,529,896 Bytes
- 15 Pages / 439.37 x 666.142 pts Page_size
- 95 Downloads / 179 Views
Numerical treatment of a nonlinear dynamical Hepatitis-B model: an evolutionary approach Muhammad Farman1, Muhammad Farhan Tabassum2,4 , Parvaiz Ahmad Naik3,a , Sana Akram2 1 Department of Mathematics and Statistics, The University of Lahore, Lahore 54000, Pakistan 2 Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan 3 School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, People’s Republic
of China
4 Department of Sports Science, University of Lahore, Lahore 54000, Pakistan
Received: 13 September 2020 / Accepted: 29 October 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract 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 HepatitisB 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 Padé 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.
1 Introduction In the advancement of social sciences, like nature, mathematics often has a central role and has significant effects with physical sciences. Mathematical research and modeling is used to describe a more qualitative and quantitative biological method [1]. Modeling is the human interest in which real-world objects are portrayed, manipulated and communicated in daily life. There are many ways to look at an element, or there are equally many separate observers for the same thing, as you can easily understand. Every observer has “a kind of perspective” on the same object, that is, “no all-knowing observer with a single approach to truth”. Every independent observer gathers information and generates a constant hypothesis with the data. This conceptual method is known as abduction. Abduction is not always unfailing, though; we are all blind with love for a systemic unknown. Modeling is the manufacturing process of model by which structures are defined and the structure of some form is operating. The layout may be reconfigured, and in the form it represents, it is typically difficult or costly to play with [2]. Within a community, the impact of infectious disease can be understood by epidemiological research. We evaluate model
a e-mail: [email protected] (corresponding author)
0123456789().: V,-vol
123
941
Page 2 of 15
Eur. Phys. J. Plus
(2020) 135:941
building models for mathematical modeling, estimate parameters, check model sensitivity using different parameters, and
Data Loading...
