The research paper presents a computational model by Cellular Automata (Cell-DEVS) applied to the transmission of Dengue disease, spread by mosquitoes to a susceptible population. This model will have a multilevel approach to consider exogenous interactions such as temperature. This will allow to be able to visualize the critical points where the mosquito reproduction is much greater, and thus carry out control strategies.

En este trabajo se realizó un modelo computacional a través de los Autómatas Celulares que puede describir la dinámica de cómo se propagan las enfermedades de transmisión de sexual considerando una subclasificación para la población de infectados (curable y no curable). Así mismo, se ha considerado en este trabajo la perspectiva de la epidemiología matemática del modelo matemático SIS de W.O. Kermack y A.G. McKendrick que representa la dinámica de la epidemia, siendo posible así analizar el comportamiento de la propagación de la epidemia en el tiempo.

The research paper presents a computational model by Cellular Automata (Cell-DEVS) applied to the transmission of Dengue disease, spread by mosquitoes to a susceptible population. This model will have a multilevel approach to consider exogenous interactions such as temperature. This will allow to be able to visualize the critical points where the mosquito reproduction is much greater, and thus carry out control strategies.

In the present paper, a computational model is performed by Cellular Automata (Cell-DEVS) that describes the transmission dynamics of Varicella in a closed group of people where the disease can be spread. From the perspective of mathematical epidemiology we have the mathematical model SEIR of W.O. Kermack and A.G. McKendrick that represent the dynamics of the epidemic, in our case Varicela, where the computational simulations are performed both by the Numerical Methods and the Cellular Automata to analyze the development of the disease.

In the present paper, the effect of interdependence and contagion will be performed in the purchase and sale decisions of investors in a Black-Schole financial market, where there are two financial assets: stocks (risky assets) and bonds (risk-free asset); and two investor states: lover and risk aversion; under different probabilities of contagion. This economic-financial phenomenon could be modeled by a system of stochastic equations; however, not all stochastic equations have a closed solution, so it is decided to perform computational simulations to analyze their numerical behavior. In this sense, a computational simulation will be performed using cellular automata.

In the present research article, a computational model is developed by means of cellular automatas (Cell-DEVS) that describes the transmission dynamics of HIV / AIDS in a closed group of heterosexual people who are sexually active. From the perspective of the mathematical epidemiology we have the mathematical model SI of W. O. Kermack and A. G. McKendrick that represents the dynamics of the sexually transmitted disease by means of the ordinary differential equations. Wherecomputational simulations will be carried out both by numerical methods and cellular automatas to analyze the evolution of the disease over time, and how the results obtained can be interpreted to generate adequate intervention activities as part of public politics.

En el presente trabajo, se realiza un modelo computacional mediante los Autómatas Celulares (Cell-DEVS) que describa la dinámica de transmisión de la Varicela en un grupo cerrado de personas donde se pueda propagar la enfermedad. Desde la perspectiva de la epidemiología matemática se tiene el modelo matemático SEIR de W. O. Kermack y A. G. McKendrick que representa la dinámica de la epidemia, en nuestro caso la Varicela, donde se realizará las simulaciones computacionales tanto por los Métodos Numéricos como los Autómatas Celulares para analizar el desarrollo de la enfermedad.

En el presente trabajo se realizará la simulación el efecto de la interdependencia y el contagio en las decisiones de compra y venta de los inversionistasen un mercado financiero de tipo Black-Schole,donde existen dos activos financieros: acciones (activo riesgoso) y bonos (activo libre de riesgo); y dos estados del inversionista: amante y averso al riesgo; bajo distintas probabilidades de contagio. Este fenómeno económico-financiero podría ser modelado por un sistema de ecuaciones estocásticas; sin embargo, no todas las ecuaciones estocásticas tienen una solución cerrada por lo que se opta por realizar simulaciones computacionales para analizar su comportamiento numérico, en este sentido, se realizará una simulación computacional mediante los autómatas celulares.

In the present research article, a computational model is developed by means of cellular automatas (Cell-DEVS) that describes the transmission dynamics of HIV / AIDS in a closed group of heterosexual people who are sexually active. From the perspective of the mathematical epidemiology we have the mathematical model SI of W. O. Kermack and A. G. McKendrick that represents the dynamics of the sexually transmitted disease by means of the ordinary differential equations. Wherecomputational simulations will be carried out both by numerical methods and cellular automatas to analyze the evolution of the disease over time, and how the results obtained can be interpreted to generate adequate intervention activities as part of public politics.