Modelling of Systems with Elements in Several States
| Autor: | Anna Tarasenko, Oleksandr Barabash, Manuel González Hernández, Oleksandr Karelin |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
0303 health sciences
Mechanical equilibrium 010102 general mathematics Geography Planning and Development Degenerate energy levels State (functional analysis) Type (model theory) 01 natural sciences Integral equation law.invention 03 medical and health sciences General Energy law Applied mathematics 0101 mathematics Inverse operator Mutual influence 030304 developmental biology General Environmental Science Mathematics |
| Zdroj: | WSEAS TRANSACTIONS ON ENVIRONMENT AND DEVELOPMENT. 17:244-252 |
| ISSN: | 2224-3496 1790-5079 |
| DOI: | 10.37394/232015.2021.17.25 |
| Popis: | In this paper, we consider systems with one resource, which can be in several states. The states differ significantly in their processes of mortality, reproduction and mutual influence. For instance, infected elements can have a higher mortality rate than healthy and recovered ones. For cyclic models, in which the initial state of the system coincides with the final state, balance relations are found. They represent a system with functional operators with shift and integrals with degenerate kernels. Modified Fredholm method, proposed in previous works to solve the integral equations of the second type with degenerate kernels and shifts, is applied. Equilibrium position of a system with a three-state resource is found. |
| Databáze: | OpenAIRE |
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