UNIVERSAL METHOD FOR COMPUTATIONAL MODELING OF THRESHOLD PHENOMENON IN THE NONSTEADY BIOLOGICAL PROCESSES
Context. In modern conditions occur abrupt changes in ecosystems. The species composition of Caspian Sea is changing rapidly. The dynamics of populations acquires an extreme character with the development of rapid invasions. The mathematical description of scale transformations requires new modeling...
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National University "Zaporizhzhia Polytechnic"
2021
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ftjeepe:oai:ojs.journals.uran.ua:article/227766 2023-05-15T15:27:52+02:00 UNIVERSAL METHOD FOR COMPUTATIONAL MODELING OF THRESHOLD PHENOMENON IN THE NONSTEADY BIOLOGICAL PROCESSES УНИВЕРСАЛЬНЫЙ МЕТОД ВЫЧИСЛИТЕЛЬНОГО МОДЕЛИРОВАНИЯ ПОРОГОВЫХ ЭФФЕКТОВ В НЕСТАЦИОНАРНЫХ ЭКОЛОГИЧЕСКИХ ПРОЦЕССАХ УНІВЕРСАЛЬНИЙ МЕТОД ОБЧИСЛЮВАЛЬНОГО МОДЕЛЮВАННЯ ПОРОГОВИХ ЕФЕКТІВ В НЕСТАЦІОНАРНИХ ЕКОЛОГІЧНИХ ПРОЦЕССАХ Переварюха , А. Ю. 2021-03-27 application/pdf http://ric.zntu.edu.ua/article/view/227766 eng eng National University "Zaporizhzhia Polytechnic" http://ric.zntu.edu.ua/article/view/227766/226941 http://ric.zntu.edu.ua/article/view/227766 Авторське право (c) 2021 A. Yu. Perevaryukha https://creativecommons.org/licenses/by-sa/4.0 CC-BY-SA Radio Electronics, Computer Science, Control; No. 1 (2021): Radio Electronics, Computer Science, Control; 78 - 86 Радиоэлектроника, информатика, управление; № 1 (2021): Радиоэлектроника, информатика, управление; 78 - 86 Радіоелектроніка, iнформатика, управління; № 1 (2021): Радіоелектроніка, інформатика, управління; 78 - 86 2313-688X 1607-3274 математична біологія моделювання порогових ефектів гібридні моделі метод тригерних функціоналів спалахи чисельності популяцій колапс перуанського анчоуса математическая биология моделирование пороговых эффектов гибридные модели метод триггерных функционалов вспышки численности популяций коллапс перуанского анчоуса mathematical biology modeling of threshold effects hybrid models trigger functional method population outbreaks of insect collapse of peruan anchovy info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 2021 ftjeepe 2022-09-06T03:26:41Z Context. In modern conditions occur abrupt changes in ecosystems. The species composition of Caspian Sea is changing rapidly. The dynamics of populations acquires an extreme character with the development of rapid invasions. The mathematical description of scale transformations requires new modeling methods. Complicated population regimes of changes have features of the threshold phenomenon in process of its development. Objective. We set the goal of computational modeling of practically important scenarios – groups of situations that relate to extreme and transitional dynamics of ecosystems, like outbreaks at the onset of dangerous invasions. We are developing a method that, on the basis of the survival model of generations, will conduct a description of sudden transitions to rapid but limited outbreak of numbers or, on contrary, a collapse of stocks like Atlantic cod in 1992 or Peruan anchovy Engraulis ringens in 1985. The purpose of our modeling is to improve the accuracy of forecasts of the population size when experts are estimates a rational strategy for the exploitation of biological resources. Method. Situations of abrupt but short-term changes in population processes cannot be calculated by traditional mathematical models and expressed in terms of asymptotic dynamics – closed limit trajectory sets. The basis of the idea of the method proposed by us is the formalization of nonlinear efficiency of reproduction, which changes in a threshold manner only in strictly defined environmental conditions. We use continuous-discrete time in the model for early ontognosis of the cod fish and insect pests. The method with triggers allows us to take into account in simulation experiments logic and motivation of making decisions by experts, people who manage the strategy of exploiting biological resources. Models assess variability for development of situations Results. We have implemented new method of bounded trigger functionals into hybrid system of the equations, that acting in selected specific states of ... Article in Journal/Newspaper atlantic cod Electrical Engineering and Power Engineering (EE&PE - E-Journal) |
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Electrical Engineering and Power Engineering (EE&PE - E-Journal) |
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ftjeepe |
language |
English |
topic |
математична біологія моделювання порогових ефектів гібридні моделі метод тригерних функціоналів спалахи чисельності популяцій колапс перуанського анчоуса математическая биология моделирование пороговых эффектов гибридные модели метод триггерных функционалов вспышки численности популяций коллапс перуанского анчоуса mathematical biology modeling of threshold effects hybrid models trigger functional method population outbreaks of insect collapse of peruan anchovy |
spellingShingle |
математична біологія моделювання порогових ефектів гібридні моделі метод тригерних функціоналів спалахи чисельності популяцій колапс перуанського анчоуса математическая биология моделирование пороговых эффектов гибридные модели метод триггерных функционалов вспышки численности популяций коллапс перуанского анчоуса mathematical biology modeling of threshold effects hybrid models trigger functional method population outbreaks of insect collapse of peruan anchovy Переварюха , А. Ю. UNIVERSAL METHOD FOR COMPUTATIONAL MODELING OF THRESHOLD PHENOMENON IN THE NONSTEADY BIOLOGICAL PROCESSES |
topic_facet |
математична біологія моделювання порогових ефектів гібридні моделі метод тригерних функціоналів спалахи чисельності популяцій колапс перуанського анчоуса математическая биология моделирование пороговых эффектов гибридные модели метод триггерных функционалов вспышки численности популяций коллапс перуанского анчоуса mathematical biology modeling of threshold effects hybrid models trigger functional method population outbreaks of insect collapse of peruan anchovy |
description |
Context. In modern conditions occur abrupt changes in ecosystems. The species composition of Caspian Sea is changing rapidly. The dynamics of populations acquires an extreme character with the development of rapid invasions. The mathematical description of scale transformations requires new modeling methods. Complicated population regimes of changes have features of the threshold phenomenon in process of its development. Objective. We set the goal of computational modeling of practically important scenarios – groups of situations that relate to extreme and transitional dynamics of ecosystems, like outbreaks at the onset of dangerous invasions. We are developing a method that, on the basis of the survival model of generations, will conduct a description of sudden transitions to rapid but limited outbreak of numbers or, on contrary, a collapse of stocks like Atlantic cod in 1992 or Peruan anchovy Engraulis ringens in 1985. The purpose of our modeling is to improve the accuracy of forecasts of the population size when experts are estimates a rational strategy for the exploitation of biological resources. Method. Situations of abrupt but short-term changes in population processes cannot be calculated by traditional mathematical models and expressed in terms of asymptotic dynamics – closed limit trajectory sets. The basis of the idea of the method proposed by us is the formalization of nonlinear efficiency of reproduction, which changes in a threshold manner only in strictly defined environmental conditions. We use continuous-discrete time in the model for early ontognosis of the cod fish and insect pests. The method with triggers allows us to take into account in simulation experiments logic and motivation of making decisions by experts, people who manage the strategy of exploiting biological resources. Models assess variability for development of situations Results. We have implemented new method of bounded trigger functionals into hybrid system of the equations, that acting in selected specific states of ... |
format |
Article in Journal/Newspaper |
author |
Переварюха , А. Ю. |
author_facet |
Переварюха , А. Ю. |
author_sort |
Переварюха , А. Ю. |
title |
UNIVERSAL METHOD FOR COMPUTATIONAL MODELING OF THRESHOLD PHENOMENON IN THE NONSTEADY BIOLOGICAL PROCESSES |
title_short |
UNIVERSAL METHOD FOR COMPUTATIONAL MODELING OF THRESHOLD PHENOMENON IN THE NONSTEADY BIOLOGICAL PROCESSES |
title_full |
UNIVERSAL METHOD FOR COMPUTATIONAL MODELING OF THRESHOLD PHENOMENON IN THE NONSTEADY BIOLOGICAL PROCESSES |
title_fullStr |
UNIVERSAL METHOD FOR COMPUTATIONAL MODELING OF THRESHOLD PHENOMENON IN THE NONSTEADY BIOLOGICAL PROCESSES |
title_full_unstemmed |
UNIVERSAL METHOD FOR COMPUTATIONAL MODELING OF THRESHOLD PHENOMENON IN THE NONSTEADY BIOLOGICAL PROCESSES |
title_sort |
universal method for computational modeling of threshold phenomenon in the nonsteady biological processes |
publisher |
National University "Zaporizhzhia Polytechnic" |
publishDate |
2021 |
url |
http://ric.zntu.edu.ua/article/view/227766 |
genre |
atlantic cod |
genre_facet |
atlantic cod |
op_source |
Radio Electronics, Computer Science, Control; No. 1 (2021): Radio Electronics, Computer Science, Control; 78 - 86 Радиоэлектроника, информатика, управление; № 1 (2021): Радиоэлектроника, информатика, управление; 78 - 86 Радіоелектроніка, iнформатика, управління; № 1 (2021): Радіоелектроніка, інформатика, управління; 78 - 86 2313-688X 1607-3274 |
op_relation |
http://ric.zntu.edu.ua/article/view/227766/226941 http://ric.zntu.edu.ua/article/view/227766 |
op_rights |
Авторське право (c) 2021 A. Yu. Perevaryukha https://creativecommons.org/licenses/by-sa/4.0 |
op_rightsnorm |
CC-BY-SA |
_version_ |
1766358264549736448 |