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We consider the classic spring-mass model of running which is built upon an inverted elastic pendulum. In this paper we introduce new approximate solution of an interesting boundary value problem for the governing system of two nonlinear ordinary differential equations, which in a natural way we get in this model. We give theoretical support by deriving asymptotic behaviour of obtained approximations...
We apply multitype, continuous time, Markov branching models to study pathogenicity in E. coli, a bacterium belonging to the genus Escherichia. First, we examine briefly, the properties of multitype branching processes and we also survey some fundamental limit theorems regarding the behavior of such models under various conditions. These theorems are then applied to discrete, state dependent models,...
1. XLVIII National Conference on Applications of Mathematics i 9–16 September 2019, Zakopane-Kościelisko (Ł. Stettner) W dniach 9 - 16 września 2019 r. odbyła się w Zakopanem-Kościelisku w Domu Wczasowym Siwarna Czterdziesta Ósma Ogólnopolska Konferencja Naukowo-Szkoleniowa Zastosowań Matematyki. Ze względu na Jubileuszowy Zjazd Matematyków Polskich organizowany przez PTM z okazji jego stulecia oraz...