We consider the model, proposed by Dawidowicz and Zalasiński, describing the interactions between the heterotrophic and autotrophic organisms coexisting in a terrestrial environment with available oxygen. We modify this model by assuming intraspecific competition between heterotrophic organisms. Moreover, we introduce a diffusion of both types of organisms and oxygen. The basic properties of the extended model are examined and illustrated by numerical simulations.
Delay differential equations are used in mathematical models of biological, biochemical or medical phenomenons. Although the structure of these equations is similar to ordinary differential equations, the crucial difference is that a delay differential equation (or a system of equations) is an infinite dimensional problem and the corresponding phase space is a functional space — usually the space of continuous functions is considered.In this paper we present the basic theory of delay differential...
We present analysis of admission/discharge data from insurance provider for Saxony and Thuringia (Germany) for years 2010-2016. Study of such data is necessary to derive a structure of healthcare system transfer network, as no patients' transfer data are available. Hospital network is a basis for simulation of multidrug-resistant bacteriae spread allowing to study the effectiveness of disease-control strategies. In this paper, the properties of the dataset under consideration are presented and discussed....
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