The stabilizing role of fish population structure under the influence of fishery and random environment variations

Abakumov, A.I.; Izrailsky, Yu. G.

doi:10.20537/2076-7633-2017-9-4-609-620

Cited by 4 publications

(3 citation statements)

References 13 publications

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“…Let us find in the model the relationship between the growth rate of juveniles and their mortality [18]. Main structure (1) for N(t) should be solved numerically in conjunction with an auxiliary indicator-sizedevelopment index w(t) of individuals of the generation:…”

Section: Continuous Time Framing and Sequence Of Eventsmentioning

confidence: 99%

“…We use calculations with R = N(T) = ϕ(N(0)) for numerical analysis of iterations R n+1 = ϕ(R n ). To calculate the dynamics of the new (n + 1)th generation, the initial conditions for the first equation in structure (1) are reinitialized: where υ m is the postspawn survival index for a series of previous m generations and S is the population of stock ready for reproduction with average fertility λ. A model in the Rand Model Designer environment can be adapted for multiple generations living together.…”

Section: Continuous Time Framing and Sequence Of Eventsmentioning

confidence: 99%

“…For the optimal control of biosystems, various mathematical approaches were proposed, which are based on the principles of physical modeling of events by analogy with models of phase transitions. For living systems, methods taking the random effects of the environment into account [1], as well as dynamic programming and the theory of monotone operators [2], were used. Most authors assumed the main task to lie in improving the rules for the distribution of quotas [3].…”

Section: Introductionmentioning

confidence: 99%

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Modeling of a Crisis in the Biophysical Process by the Method of Predicative Hybrid Structures

Perevaryukha

2022

Tech. Phys.

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Crisis processes of biosystems often develop according to scenarios of rapid collapse, which cannot be predicted by statistical methods. This paper develops a method for constructing hybrid computational models using event-hierarchy representation for biophysical processes. System events calculated by the algorithm change the order of calculation of equations according to a given set of rules. The rules of physically conditioned redefinition of the right-hand sides of differential equations are used. The predicates employ the calculations of a group of accompanying characteristics, which are an integral part of the controlled biophysical dynamics. The model is investigated by presenting a computational scenario with a set of parameters, initial values, and an algorithm for making decisions about changing the impact for discrete time. Using computational experiments, a real outcome scenario for a situation that leads to the collapse of a biophysical system at a controlled level of exposure is described. The scenario sets the logic for making control decisions to change the level of external pressure on the natural environment. It is shown as a result of modeling that the transition of the process to an oscillatory mode leads to the choice of a risky control mode. It has been established that the dynamics of many real water populations has a point of threshold reduction in the efficiency of replenishment of stocks. The model scenario uses transformations of the phase portrait of iterations, which, in the presence of disconnected boundaries of the areas of attraction of alternative attractors and a strange chaotic repeller, lead to the uncertainty effects arising due to chaotic modes in a deterministic model. The properties of the described model scenario with a chaotic regime of dynamics are confirmed by the example of the catch of oceanic species of crustaceans.

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Section: Continuous Time Framing and Sequence Of Eventsmentioning

confidence: 99%

Section: Continuous Time Framing and Sequence Of Eventsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modeling of a Crisis in the Biophysical Process by the Method of Predicative Hybrid Structures

Perevaryukha

2022

Tech. Phys.

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Mode change in the dynamics of exploited limited population with age structure

et al. 2018

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Numerical implementation of biological kinetics multi-species model in the Azov Sea

Сухинов

Nikitina

Filina

et al. 2021

J. Phys.: Conf. Ser.

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Paper covers the research of biological kinetics processes based on a multi-species model of plankton and fish interaction of the Azov Sea at low and high size considering the V erhulst and Allee effects, competition for resources, taxis, catching, spatial distribution of biogenic matter and detritus. Discrete analogue of developed model problem of water ecology, included in a software complex, were calculated using schemes of increased order of accuracy considering the partial filling of computational cells. The system of grid equations of large dimension, arising at discretization, has been solved on the basis of a two-layer variational type method – the minimum corrections method having the maximum convergence rate. Effective parallel algorithms were developed for numerical implementation of biological kinetics problem and oriented on multiprocessor computer system and NVIDIA Tesla K80 graphics accelerator with the data storage format modification of. Due to it, the reproduction processes of biogeocenose populations have been analysed in real and accelerated time.

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The stabilizing role of fish population structure under the influence of fishery and random environment variations

Cited by 4 publications

References 13 publications

Modeling of a Crisis in the Biophysical Process by the Method of Predicative Hybrid Structures

Modeling of a Crisis in the Biophysical Process by the Method of Predicative Hybrid Structures

Mode change in the dynamics of exploited limited population with age structure

Numerical implementation of biological kinetics multi-species model in the Azov Sea

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