Modelling of Systems with Elements in Several States
Author:
Tarasenko Anna1, Karelin Oleksandr1, Hernández Manuel Gonzalez1, Barabash Oleksandr2
Affiliation:
1. Institute of Basic Sciences and Engineering, Hidalgo State Autonomous University, Carretera Pachuca-tulancingo, Km.4.5, Pachuca, Hidalgo, C.p. 42184, Mexico 2. Department of Enterprise Economics, Institute of Business, Economics and Information Technology, National Polytechnic University, Odessa, C.p. 65044, Ucraine
Abstract
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.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
General Energy,General Environmental Science,Geography, Planning and Development
Reference14 articles.
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