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Human-Human interaction: epidemiology

The aim of this work was to show few examples and few perspective of modeling in epidemiology. We began with differential equations which were a first tool to describe and predict that phenomena. Wroclaw as a cite was very important, because statistics from smallpox epidemic were used by Bernoulli to estimate parameters of first mathematical model of epidemic. Next step were SIR models and those also appeared first as differential equations. They were very popular in begin of XX century. When computer simulation changed the world of mathematical modeling agent-based models gave more possibilities in epidemiology. That models have a big privilege on differential equation, because of information of social network people habits and reaction on infections, which can me involved in agent-based models as well as governmental intervention. We showed in this work how that human relations are important in transmitting diseases and there is example, where it is possible to conduct experiments of significant policy relevance (vaccinating), such as investigating the initial growth of an epidemic on a real-world network. Presented H1N1 model could be observed in real time (prediction was made in September 2009 for winter season 2009/2010) what make it more exiting and also practice.