| Issue |
E3S Web Conf.
Volume 491, 2024
International Conference on Environmental Development Using Computer Science (ICECS’24)
|
|
|---|---|---|
| Article Number | 02045 | |
| Number of page(s) | 14 | |
| Section | Smart Systems for Environmental Development | |
| DOI | https://doi.org/10.1051/e3sconf/202449102045 | |
| Published online | 21 February 2024 | |
Theoretical analysis on the transmission dynamics of HBV Disease with the effect of intervention of vaccination and treatment
1 Assistant Professor, PG and Research Department of Mathematics, The Standard Fireworks Rajaratnam College for Women, Sivakasi, India
2 Research Scholar, School of Mathematic, Madurai Kamaraj University, Madurai, India.
* Corresponding author: pavithra-mat@sfrcollege.edu.in
In this paper, we formulate a SVEIQR model for the Hepatitis B virus (HBV) using ordinary differential equations. The model is then tested for well posedness by finding the positivity, boundedness and existence of the solution. Then, an approximate analytical solution to the model is obtained by executing the Homotopy Perturbation Method (HPM) which is a coupling of homotopy and perturbation techniques. This solutionhelps us to study the model dynamically. The validity of the method is checked by using numerical simulation. These results show that HPM is highly reliable in solving such non-linear models. The results are applicable to the entire solution domain.
Key words: Hepatitis B virus model / Existence and Uniqueness / Homotopy Perturbation Method
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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