Ecosystem dynamics simulation with the «predator-prey» system as an example
DOI:
https://doi.org/10.15587/2313-8416.2017.113288Keywords:
generalized «predator-prey» model, non-linear differential equations, simulation model, environmental safetyAbstract
The results of population dynamics simulation for «predator – prey» ecosystem in the Zhytomyr region with the fox-hare pair as an example are presented. The possibility of using the probabilistic approach for solving the problem of increasing the forecasting period of the dynamics of ecological systems is substantiated. The obtained results have practical value for prediction of interaction processes in the «predator – prey» system in order to estimate changes in population size for five years, which will allow to timely identify the threats to ecological safety
References
Maievskyi, O. V., Brodskyi, Yu. B. (2016). Modeling natural interaction processes accounting for the uncertainty in the initial conditions of the Cauchy problem. ScienceRise, 9 (2 (26)), 24–30. doi: 10.15587/2313-8416.2016.77853
Maievskyi, O. V., Pilkevych, I. A., Brodskyi, Yu. B. (2015). Mathematical model of predator-prey interaction with accounting the areal factors and resistant factor of habitats of populations. ScіenceRіse, 4 (2 (9)), 23–27. doi: 10.15587/2313-8416.2015.40445
Khozyainova, M. G. (2007). Concerning regulation techniques applied to identify a technological system. Fundamental studies, 8, 45–47.
Erugin, N. P., Shtokalo, I. Z., Bondarenko, S. P. et. al. (1974). A Course of ordinary differential equations. Moscow: Higher school, 472.
Brodskyi, Yu. B., Maievskyi, O. V., Vasko, S. M. (2017). Analysis of phase trajectories in the simulation of the dynamics of ecosystem «predator – prey». Visnyk Zhytomyrskoho natsionalnoho ahroekolohichnoho universytetu, 1 (1), 185–194.
Buslenko, N. P. (1978). Modeling of complex systems. Moscow: Nauka, 400.
Samarsky, A. A. (1988). Computers, models, computational experiment. Introduction to Informatics from the Point of Mathematical Modeling. Moscow: Nauka, 176.
Feller, V. (1984). Introduction to probability theory and its application. Vol. 1. Moscow: Mir, 527.
Gnedenko, B. V. (1961). Course of probability theory. Moscow: Moscow, 406.
Pobedrya, B. E. (1986). Lectures on tensor analysis. Moscow: Moscow, 256.
Downloads
Published
Issue
Section
License
Copyright (c) 2017 Yuri Brodsky, Alexander Majewski, Yuri Timonin
This work is licensed under a Creative Commons Attribution 4.0 International License.
Our journal abides by the Creative Commons CC BY copyright rights and permissions for open access journals.
Authors, who are published in this journal, agree to the following conditions:
1. The authors reserve the right to authorship of the work and pass the first publication right of this work to the journal under the terms of a Creative Commons CC BY, which allows others to freely distribute the published research with the obligatory reference to the authors of the original work and the first publication of the work in this journal.
2. The authors have the right to conclude separate supplement agreements that relate to non-exclusive work distribution in the form in which it has been published by the journal (for example, to upload the work to the online storage of the journal or publish it as part of a monograph), provided that the reference to the first publication of the work in this journal is included.