Uncertainty of asymptotic dynamics in bioresource management simulation

Perevaryukha, A. Yu.

doi:10.1134/s1064230711010151

Cited by 13 publications

(2 citation statements)

References 7 publications

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“…We can achieve balance, cyclical dynamics, or chaotic movement of different types. The shape of the boundary of the attraction areas of different attractors influences the behavior of a trajectory [ 14 ]. When analyzing models, we need to understand what we consider reasonable behavior of the hybrid model, and which nonlinear effects need to be excluded from the final discussion of the results.…”

Section: Methodology For Building Hybrid Structures In Ecodynamicsmentioning

confidence: 99%

Methodology of the Construction of Computational Scenarios for Modeling Extreme States in Living Systems

Perevaryukha

2021

J. Comput. Syst. Sci. Int.

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We consider a methodology for organizing hybrid computing structures to simulate abrupt changes in controlled natural processes and analyzing phases of extreme environmental phenomena. Systems of differential equations with the dynamically redefinable right-hand side at special moments (events) are used. The truth conditions for transitions are obtained from computing other equations for additional characteristics of the state of a generation. Threshold states in process modeling are the result of the inclusion of trigger functions. Their values on the right-hand side are specifically different from the neutral value only in narrow ranges of the space of changing characteristics of a hybrid system and depend on the initial conditions. The restricted limits of functions and their domain of values rest on the core of the threshold effects for the simulated biosystem, which are observed under special conditions. The method allows us to implement actual qualitative changes in management scenarios as bifurcations of the appearance (reduction) of equilibrium states or the boundary crisis of a complex attractor consisting of intervals scattered in a limited area. Computational scenarios for different population processes are investigated. The collapse of fish stocks is described in the model by the examples of cod in the North Atlantic and sturgeon in the Caspian Sea. The rapid outbreak of their abundance is modeled according to observations on the pulsation of the population size of pests of relict evergreen forests. The threshold scenario of the outbreak of insects in the scenario ends spontaneously due to the local exhaustion of forest resources with a sharp transition to fluctuations of the pest, which are ordinary for the environment. The methodology of organizing the structure for the population model is summarized to predict a wide range of extreme processes related to rapid changes in controlled biological systems and the spread of unwanted biological invasions.

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Section: Methodology For Building Hybrid Structures In Ecodynamicsmentioning

confidence: 99%

Methodology of the Construction of Computational Scenarios for Modeling Extreme States in Living Systems

Perevaryukha

2021

J. Comput. Syst. Sci. Int.

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“…Необходимо ответить на вопросы, как качественно может меняться динамика популяции при изменении определенных параметров, удельной скорости воспроизводства или промысловой n n x f x + = a через каскад бифуркаций удвоения периода цикла является следствием выполнения критериев теоремы Сингера [9], не имеющих отношения к биологической проблематике характеристиках, включающих отношения второй и третьей производных функции [5].…”

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On the determination of fractal objects in the dynamics of bioresources management models

Perevaryukha¹

2014

Тр. СПИИРАН

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Perevarukha A.U. On the determination of fractal objects in the dynamics of bioresources management models. Abstract. This article is devoted to the development of computational methods for the study of the nonlinear effects in the dynamic systems modeling the processes of controlled biological systems. In a previous paper shows the practical problems of modeling biological resources associated with the phenomena that go beyond the interpretation of of the area you application. Observed experimentally, but do not have strict definitions of complex transients have an important impact and require special methods of analysis. We introduce a classification and a method for research in the computing environment of invariant sets in phase space of dynamical systems, modeling the reproduction of fish populations.

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An iterative continuous-event model of the population outbreak of a phytophagous Hemipteran

Perevaryukha

2016

BIOPHYSICS

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Uncertainty of asymptotic dynamics in bioresource management simulation

Cited by 13 publications

References 7 publications

Methodology of the Construction of Computational Scenarios for Modeling Extreme States in Living Systems

Methodology of the Construction of Computational Scenarios for Modeling Extreme States in Living Systems

On the determination of fractal objects in the dynamics of bioresources management models

An iterative continuous-event model of the population outbreak of a phytophagous Hemipteran

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