Some applications of Filippov's dynamical systems

• Autores: Martin Biák, Tomás Hanus, Drahoslava Janovská
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 254, Nº 1, 2013 (Ejemplar dedicado a: Nonlinear Elliptic Differential Equations, Bifurcation, Local Dynamics of Parabolic Systems and Numerical Methods), págs. 132-143
• Idioma: inglés
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• Resumen

  • 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.