ResumenDe acuerdo a referencias, existe una fuerte influencia del estrés con el desarrollo de enfermedades. En este trabajo se consideraron los atributos que hacen posible esa influencia para la elaboración de un modelo matemático que permite el planteamiento de escenarios que cambian con la frecuencia con la que un individuo implementa soluciones temporales para atender el estrés (pseudosoluciones) o cambia la frecuencia con la que recibe el tratamiento médico especializado para atender la enfermedad. Los resultados son concluyentes de la dinámica del comportamiento del sistema, permitiendo la configuración de escenarios en los que es posible que el paciente: 1) sane completamente, 2) alcance niveles estables de estrés-enfermedad que puede sobrellevar sin riesgos pero con la implementación de diferentes pseudosoluciones y tratamientos médicos, o 3) ponga en riesgo su vida.Palabras clave: Estrés, dinámica de sistemas, sistemas dinámicos no suaves, método convexo de Filippov. AbstractAccording 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.
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