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1
Content available A Discrete SIS Model of Epidemic for a Heterogeneous Population without Discretization of its Continuous Counterpart
Choiński Marcin
Advances in Science and Technology. Research Journal
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2023
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Vol. 17, no 6
288--300
EN
In this paper we propose a model of an infectious disease transmission in a heterogeneous population consisting of two different subpopulations: individuals with accordingly low and high susceptibility to an infection. This is a discrete model which was built without discretization of its continuous counterpart. It is not a typical approach. We assume that parameters describing particular processes in each subpopulation have different values. This assumption makes model analysis more complicated comparing to models without this assumption. We investigate conditions for existence and local stability of stationary states. The novelty of this paper lies in presenting the explicit condition concerning stationary states, including stability. We compute the basic reproduction number R0 of the given system, which determines the local stability of the disease-free stationary state. Additionally, we consider a situation when there is no illness transmission in the subpopulation with the low susceptibility. Theoretical result are complemented with numerical simulations in which we fit the model to epidemic data from the Warmian–Masurian province of Poland. These data reflect the case of the tuberculosis epidemic for which the homeless people were treated as a group with the high susceptibility.
2
Content available Computer simulation in production process of wiper blades for cars
Ogorzałek Justyna
Journal of Mechanical and Energy Engineering
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2019
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Vol. 3, No 2
131--137
EN
The article presents the most important information concerning computer modelling and simulation, system dynamics modelling, discrete event modelling and agent modelling. An exemplary model of the production process of windscreen wipers, which was created on the basis of assumptions, discussed the individual components of the model. An example of using JAVA code in AnyLogic program is presented and examples of indicators that can be calculated and presented in the form of a graph in the program are shown. Computer simulations enable tracking and analysis of the production process. They help to verify assumptions and detect irregularities in the modeled process. Simulation programs have a wide range of possibilities, allow you to create reports, charts, comparisons, allow you to optimize processes.
3
Content available remote On some issues concerning the modeling of the motion of fluids
Rajagopal K. R., Tao L., Chen G. Q.
International Journal of Applied Mechanics and Engineering
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2005
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Vol. 10, no 3
475-487
EN
We address some issues regarding the use of the Lagrangian description and convected frames in describing fluid motions. We also discuss the implications of Brownian motion on modeling the macroscopic motion of fluids and the schemes of filtered simulations. The relevance of these issues to the modeling of turbulence is discussed in detail.
4
Content available remote Modelowanie i identyfikacja układu wzbudzanego tarciem
Bogacz R., Ryczek B.
Vibrations in Physical Systems
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2000
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Vol. 19
64--65
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