Influence of physical exercise on the strengthening of immunity. Mathematical model.

https://doi.org/10.5281/zenodo.5728206

• Annia Ruiz Sánchez Mathematics Department, Faculty of Natural and Exact Sciences, University of Oriente https://orcid.org/0000-0001-7188-5561
• Daniela Sara Rodrı́guez Salmon Mathematics Department, Faculty of Natural and Exact Sciences, University of Oriente
• Sandy Sánchez Domı́nguez Mathematics Department, Faculty of Natural and Exact Sciences, University of Oriente https://orcid.org/0000-0003-3788-8413
• Yuri Alcántara Olivero Department of Computer Science, Faculty of Natural and Exact Sciences, University of Oriente
• Adolfo Arsenio Fernández Garcı́a Physics department, Faculty of Natural and Exact Sciences, University of Oriente
• Isabel Martén Powell University of Medical Sciences of Santiago de Cuba https://orcid.org/0000-0003-1067-3463
• Antonio Iván Ruiz Chaveco University of the State of Amazonas https://orcid.org/0000-0002-3473-1704

Keywords: Mathematical model, epidemic, physical exercises, immunity

Abstract

In the present work we analyze how physical exercises can influence the increase of a person’s immunity; a study of the different types of pathogens is carried out, in particular the characteristics of viruses, their manifestations and appearance are investigated; the characteristics of the immune system as well as immunity, either innate or acquired, are studied. The relationship between viruses and a person’s immune system is investigated, as well as how the immune system can react to the presence of a virus. The dynamics of the interaction of the virus vs the immune system is simulated by means of a system of ordinary differential equations, the equilibrium points and the behavior of the trajectories in a neighborhood of the equilibrium points are determined, additionally the critical case of a zero and negative one eigenvalue, giving conclusions about the process in the different cases.

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