Resumen de Some applications of Filippov's dynamical systems

Martin Biák, Tomás Hanus, Drahoslava Janovská

• The Filippov systems theory is applied to selected problems from biology and chemical engineering. In particular, we explore (a) new formulation of Bazykin�s ecological model, (b) a predator�prey model with human intervention, (c) an ideal closed gas�liquid system including DAE formulation of the system with a chemical reaction. We illustrate the theory by simulations of the behavior of the particular systems.