On a Novel Dynamics of a SIVR Model Using a Laplace Adomian Decomposition Based on a Vaccination Strategy

Fractal and Fractional

article

Prasantha Bharathi Dhandapani¹  Víctor Leiva²  Carlos Martin-Barreiro³  Maheswari Rangasamy¹ 

[1] Department of Mathematics, Sri Eshwar College of Engineering;School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso;Faculty of Natural Sciences and Mathematics, Escuela Superior Politécnica del Litoral ESPOL;Faculty of Engineering, Universidad Espíritu Santo

关键词: ABC derivatives;    basic reproduction number;    equilibrium points;    fractional derivatives;    Laplace transform;    numerical methods;    SARS-CoV-2;    sensitivity and stability analyses;   

DOI  :  10.3390/fractalfract7050407

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

In this paper, we introduce a SIVR model using the Laplace Adomian decomposition. This model focuses on a new trend in mathematical epidemiology dedicated to studying the characteristics of vaccination of infected communities. We analyze the epidemiological parameters using equilibrium stability and numerical analysis techniques. New mathematical strategies are also applied to establish our epidemic model, which is a pandemic model as well. In addition, we mathematically establish the chance for the next wave of any pandemic disease and show that a consistent vaccination strategy could control it. Our proposal is the first model introducing a vaccination strategy to actively infected cases. We are sure this work will serve as the basis for future research on COVID-19 and pandemic diseases since our study also considers the vaccinated population.

【 授权许可】

CC BY