Computational implementation of epidemic models
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The main objective is to implement computationally several epidemiological models.
The main purpose is to simulate the spread of an infection person to person. In
the first approach deterministic methods will be used. A deterministic algorithm is an
algorithm which, given a particular input, will always produce the same output. In a
second part we will focus on stochastic methods. In probability theory, a stochastic
process is a collection of random variables, representing the evolution of some system
of random values over time. This is the probabilistic counterpart to a deterministic process.
Instead of describing a process which can only evolve in one way, in a stochastic
process there is some indeterminacy: even if the initial condition is known, there are
several directions in which the process may evolve.
Even when trying to include as many realistic features in a model as possible there
is a limit to how close a model can get to reality, and models can never completely
predict what will happen in a given situation. It’s for example impossible to predict how
people will adapt and change behavior as a disease starts spreading. Models are very
useful as guidance for health professionals when deciding about preventive measures
aiming at reducing the spread of the disease.