STIMR Model for Covid 19 Pandemic

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Ayoub Azzayani
Mhamed Sayyouri


In this work, we are interested in proposing a mathematical model for the evolution of the pandemic of covid 19. And this in order to answer the question of the control of this pandemic, by giving the spade number of infected people and the duration of the fight against this pandemic. If we talk about the place and Duration of Study, as you Know, and because of the confinement, we were forced to work remotely between Finance, Entrepreneurship and Development laboratory, Faculty of Legal, Economic and Social Sciences of Sale, and Engineering Systems and Applications Laboratory, National School of Applied Sciences of Fez, between March 02, 2020 and April 16, 2020.

Epidemic, pandemic, modelisation, EDO, simulations.

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How to Cite
Azzayani, A., & Sayyouri, M. (2020). STIMR Model for Covid 19 Pandemic. Annual Research & Review in Biology, 35(4), 12-18.
Original Research Article


David L. Heymann. Data sharing and outbreaks: Best practice exemplified. The Lancet. 2020;395(10223):469-470.

Dimple D. Rajgor, Meng Har Lee, Sophia Archuleta, Natasha Bagdasarian, Swee Chye Quek. The many estimates of the COVID-19 case fatality rate. The Lancet Infectious Diseases; 2020.

Jordi Rello, Sofia Tejada, Caroline Userovici, Kostoula Arvaniti, Jerome Pugin. Coronavirus Disease 2019 (COVID-
: A critical care perspective beyond China. Anaesthesia Critical Care and Pain Medicine; 2020.

Diekmann O, Heesterbeek JAP, Roberts MG. The construction of next-generation matrices for compartmental epidemic models. J R Soc Interface. 2010;7:873-885.

Dietz K, Epidemics: The fitting of the first dynamic models to data. J Contemp Math Anal. 2009;44:97-104.

Edelstein-Keshet L. Mathematical models in biology. SIAM, Philadelphia; 2005.

Nicolas Bacaer. Le modele de Kermack et McKendrick pour la peste a Bombay et la reproductivite nette d’un type avec saisonnalite. J. Math. Biol. 2012;64.

Hastings A. Population Biology: Concepts and models. Springer, New York; 1997.
Heesterbeek JAP, Roberts MG. The type- reproduction number T in models for infectious disease control. Math Biosci.

Pellis L, Balle F, Trapman P. Reproduction numbers for epidemic models with households and other structures.
Mathematical Biosciences. 2012;13.

Biao Tang, Nicola Luigi Bragazzi, Qian Li, Sanyi Tang. An updated estimation of the risk of transmission of the novel coronavirus (2019-nCov). Infectious Disease Modelling.

Mohammed S. Abdo, Kamal Shah, Hanan A. Wahash, Satish K. Panchal. On a comprehensive model of the novel
coronavirus (COVID-19) under Mittag- Leffler derivative. Chaos, Solitons and Fractals. 2020;135, Article 109867.

Lindenstrauss J, Preiss D, Tiser J. Frechet differentiability of Lipschitz functions and Porous sets in Banach. Princeton University Press, UK; 2012.