DOI: https://doi.org/10.31319/2519-8106.2(41)2019.185033

INFORMATION SUPPORT OF MODELING FOR NONLINEAR DYNAMIC SYSTEMS BY COMPETITION OF SPECIES

Лариса Іванівна Коротка, Олексій Сергійович Ротт

Анотація


In the work the software toolkit for simulation modeling of nonlinear dynamical systems is developed and described. A class of tasks related to the competition of species is considered and has an applied value in natural, social, economic sciences, and others like that. Information support allows for qualitative research and analysis of systems on the models Lotka-Volterra, Jacob-Monod, Holling-Tanner. For their realization, one-and multi-step numerical methods are used. The software toolkit is equipped with visualization elements, in particular 2D and 3D graphics.

Ключові слова


nonlinear dynamical system;, qualitative research; Lotka-Volterra; Jacob-Monod; Holling-Tanner

Повний текст:

PDF (English)

Посилання


Holling-Tanner Predator-Prey Model with State-Dependent Feedback Control [Electronic resource] // Discrete Dynamics in Nature and Society; Jin Yang, Guangyao Tang, Sanyi Tang, 2018. URL: https://doi.org/10.1155/2018/3467405 (date of appeal 26.05.2019). Screen name.

Complex Dynamical Behavior of a Predator-Prey System with Group Defense [Electronic resource] // Mathematical Problems in Engineering; Jianglin Zhao, Min Zhao, Hengguo Yu, 2013. URL: http://dx.doi.org/10.1155/2013/910349 (date of appeal 26.05.2019). Screen name.

Zelentsov D.G., Korotkaya L.I. Tehnologii vyichislitelnogo intellekta v zadachah modelirovaniya dinamicheskih sistem: monografiya [Technologies of computational intelligence in tasks of dynamic systems modeling: monograph]. Dnepr: Balans-Klub, 2018. 178 s. (DOI: http://dx.doi.org/10.32434/mono-1-ZDG-KLI). [in Russian].

Samarskiy A.A., Gulin A.V. Chislennyie metodyi: Ucheb, posobie dlya vuzov [Numerical methods: allowance for universities]. M.: Nauka. Gl. red. fiz-mat. lit, 1989. 432 s. [in Russian].

Terehov S.V. Fraktalyi i fizika podobiya [Fractals and similarity physics]. Donetsk: “Tsifrovaya tipografiya”, 2011. 255 s. [in Russian].

Bazyikin A.D. Nelineynaya dinamika vzaimodeystvuyuschih populyatsiy: uchebnik [Nonlinear dynamics of interaction of populations: textbook]. Moskva-Izhevsk: Institut kompyuternyih issledovaniy, 2003. 368 s. [in Russian].

Zaripov Sh.H., Nikonenkova T.V., Tolmacheva S.A. Modeli dinamiki populyatsiy na osnove differentsialnyih uravneniy: realizatsiya v srede R [Models of population dynamics based on differential equations: implementation in the environment R]. Kazan: Izd-vo Kazanskogo federalnogo universiteta, 2017. 30 s. [in Russian].

Dyakonov V.P., Abramenkova, I.V., Penkov, A.A. Osnovyi matematiki i matematicheskoe modelirovanie. Chast 3 [Basics of Mathematics and Mathematical Modeling. Part 3]. Smolensk, Smolenskiy gosudarstvennyiy pedagogicheskiy universitet, 2003. 198 s. [in Russian].

Rott O.S., Korotka L.I. Informacijna pidsy`stema chy`sel`nogo rozv'yazannya sy`stemy` rivnyan` Lotky`-Vol`terry` [Information subsystem of the numerical resolution of the systems Lotka-Volterra equations]. Komp'yuterne modelyuvannya ta opty`mizaciya skladny`x sy`stem (KMOSS-2017) – Computer modeling and optimization of complex systems (CMOCS-2017), 2017. S. 149-151. (DOI: 10.32434/CMOCS-2017). [in Ukrainian].

Korotka L.I., Rott O.S. Svidotstvo № 82774 pro reiestratsiiu avtorskoho prava na tvir. Ukraina. Kompiuterna prohrama «Imitatsiine modeliuvannia neliniinykh dynamichnykh system konkurentsii vydiv» [Certificate № 82774 of registration of copyrights on the work. Ukraine. Computer program "Simulation of Nonlinear Dynamic Systems of Species Competition"]; stated 20.12.2018; published 25.01.2019, newsletter № 52. [in Ukrainian].




Текст

ISSN 2519-8106 (Print), eISSN 2519-8114 (Online)