Modelling and simulations of the SEIR and Blood Coagulation systems using Atangana-Baleanu-Caputo derivative

Abstract

In this work, we investigate the SEIR and Blood Coagulation systems using a specific type of fractional derivative. SEIR epidemic model which outlines the close communication of contagious disease is estimated to dominate the measles epidemic for infected groups. Moreover, Blood coagulation is a protective tool that restricts the loss of blood upon the rupture of endothelial tissues. This process is a complicated one that is managed by various mechanical and biochemical mechanisms. Indeed, the fractional Atangana-Baleau-Caputo derivative operator is exercised to achieve the new models of fractional equations of the SEIR epidemic and Blood Coagulation. Moreover, the existence and uniqueness of the considered systems are checked. Also, simulations are provided under selecting different amounts of fractional orders using Atangana-Toufik method. Additionally, chaotic behaviors of the proposed models by adopting different values of orders are presented, clearly to show the robustness and reliability of the recommended scheme. During graphs of simulations which are obtained under applying various values of orders, show that the used algorithm is highly effective to solve such fractional systems employing various initial conditions(ICs)compared to the other methods. (c) 2021 Elsevier Ltd. All rights reserved.