Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337

Выпуски:
Том 52, 2020 Том 51, 2019 Том 50, 2018 Том 49, 2017 Том 48, 2016 Том 47, 2015 Том 46, 2014 Том 45, 2013 Том 44, 2012 Том 43, 2011 Том 42, 2010 Том 41, 2009 Том 40, 2008 Том 39, 2007 Том 38, 2006 Том 37, 2005 Том 36, 2004 Том 35, 2003 Том 34, 2002 Том 33, 2001 Том 32, 2000 Том 31, 1999 Том 30, 1998 Том 29, 1997 Том 28, 1996

Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v44.i4.80
pages 71-80

Numerical Method for Solving the Diffusive Lotke−Volterra Model with Discontinuous Coefficients for the Problem of Companies Competition

Vitally V. Akimenko
Eastern-Ukrainian National University, Lugansk; and Kiev National Taras Shevchenko University, Ukraine
Andrey A. Yefimenko
Kiev National Taras Shevchenko University

Краткое описание

We consider the system of quasilinear parabolic equations of the Lotke−Volterra (diffusive model) with discontinuous coefficients for the problem of companies competition. Explicit three-layered difference schemes, which correspond to the maximum principle, were constructed with usage of the integral interpolation method. On testing examples for group with three competitive companies convergence of difference solutions by thickening grid method is shown.


Articles with similar content:

Strategy of Suboptimal Search of Signals Depending on State of Channels
Journal of Automation and Information Sciences, Vol.38, 2006, issue 12
Nataliya G. Vovkodav, Leonard N. Shlepakov
Synthesis of Bang-Bang Controls in an Analytic Form in Solution of an Optimization Terminal Problem
Journal of Automation and Information Sciences, Vol.30, 1998, issue 2-3
Alexander A. Litvin
On Construction of Finite-Dimensional Mathematical Model of Convection−Diffusion Process with Usage of the Petrov−Galerkin Method
Journal of Automation and Information Sciences, Vol.42, 2010, issue 6
Sergey V. Siryk, Nikolay N. Salnikov, Igor A. Tereshchenko
A Modified Counter-Sweep Method
Telecommunications and Radio Engineering, Vol.53, 1999, issue 4-5
P. P. Maksymov
New Principles of Development of Corner Filters
Telecommunications and Radio Engineering, Vol.60, 2003, issue 5&6
A.R. Korsunov, V. D. Sakhatsky