Abstract

AMADOR MONCADA, Jorge Armando; GRANADA DIAZ, Héctor Andrés; REDONDO ORTEGON, Johan Manuel  and  OLIVAR TOST, Gerard. Nonlinear and Nonsmooth Dynamics in Stress-Sickness Processes. Ciencia en Desarrollo [online]. 2017, vol.8, n.1, pp.9-19. ISSN 0121-7488.

According to literature, there is a strong influence of stress with the emergence of diseases. In this paper the attributes that make possible this influence in order to develop a mathematical model that allows the approach of scenarios that change with the frequency an individual implements temporary solutions to deal with stress (pseudosolutions), or change the frequency with which it receives the specialized medical treatment to treat the disease were considered. Results are conclusive of the dynamic behavior of the system, allowing the configuration of different scenarios in which the individual: 1) is completely healed, 2) reaches stable levels of stress-sickness which can bear safely but with the implementation of different pseudosolutions and medical treatments, or 3) jeopardizes its life.

Keywords : Stress; system dynamics; non-smooth dynamical systems; Filippov convex method.

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