Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 32
SIARD Model and Effect of Lockdown on the Dynamics of COVID-19 Disease with non Total Immunity
Fatiha Najm, M. A. Aziz Alaoui, Yafia Radouane
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
December 14, 2021
March 03, 2047
April 15, 2047

Abstract: We propose a new compartmental mathematical model describing the transmission and the spreading of COVID-19 epidemic with a special focus on the non-total immunity. The model (called SIARD) is given by a system of differential equations which model the interactions between five populations "susceptible", "reported infectious", "unreported infectious", "recovered with/without non total immunity" and "death". Depending on the basic reproduction number, we prove that the total immunity induces local stability-instability of equilibria and the epidemic may disappear after a first ...