Some applications of Filippov’s dynamical systems

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.