Formalization of non-linear patterns of evolutionary ecosystem processes under anthropogenesis influence
DOI:
https://doi.org/10.15587/1729-4061.2016.64285Keywords:
non-linear kinetics, ecosystem processes, models, anthropogenic factors, synergistic patternsAbstract
The analysis of non-linear aspects of the kinetics of organic contaminants’ decomposition in an aquatic ecosystem has substantiated the destruction patterns for environmental pollutants with regard to the biotic component. The findings of studying transformations in oil fractions of porous matters concern a number of indicators that are related to the biotic component of the ecosystem and previously disregarded in the sample models. In particular, it concerns the extent of biodegradation, bioassimilation and biotoxication of the natural environment. The study has revealed that these indicators influence the quality of assessing the carrying capacity of an ecosystem.
The developed formalized model of synergistic patterns in the evolution of species allows us to consider the reconstructive potential of the corresponding ecosystem and a possibility to assimilate all types of pollutants due to the genesis of species and their populations. This entails that the model includes bifurcation of genetic variability, which manifests itself through an autocatalysis process of mutations at different organisation levels of living organisms under the influence of external environmental factors (including determinism of resources and their quality). The study has disclosed a possibility of formalizing the living systems of different taxonomic ranks. The modelling accounted for the factors of self-regulation and autocatalysis at different organisation levels of the population and organisms.
References
- Nikolos, G. (1990). Poznanie slozhnogo [Exploring Complexity]. Moscow: «Mir», 345.
- Fritef, K. (2003). Pautina zhizni. Novoe nauchnoe ponimanie zhivyh sistem [The Web of Life. New scientific understanding of living systems]. Kyiv : Sofiya, 336.
- Zimnitsky, A. V. (2003). Single model of nature is the future of modern modeling. Biosphere, 1. Available at : http://www.ihst.ru/~biosphere/03-1/Zimnigky.htm
- Barsky, V. G. (2002). Project is the international program "The dynamic model of the biosphere". Biosphere, 1. Available at: http://www.ihst.ru/~biosphere/Mag_1/model.htm
- Kolesnikov, A. A. (2005). Sinergeticheskie metody upravleniya slozhnymi sistemami: teoriya sistemnogo sinteza [Synergetic complex systems management methods: theory system synthesis]. Moscow: Editorial, 228.
- Sidorenko, E. S., Khalil, V. V. (2013). Fractals in modeling of environmental systems. Energoefektivnіst' v budіvnictvі ta arhіtekturі, 5, 125–129.
- Malineckij, G. G. (2009). Matematicheskie osnovy sinergetiki: haos, struktury, vychislitel'nyj ehksperiment [Mathematical Foundations of Synergetics: Chaos, structures, computational experiment]. Moscow: Knizhnyj dom «LIBROKOM», 312.
- Malineckij, G. G. (2012). Synergetics is from the past to the future. Model. i analiz inform. sistem, 19 (3), 5–31.
- Wang, S. L., Jin, X. L., Huang, Z. L., Cai, G. Q. (2015). Break-out of dynamic balance of nonlinear ecosystems using first passage failure theory. Nonlinear Dynamics, 80 (3), 1403–1411. doi: 10.1007/s11071-015-1951-2
- Maystruk, V., Abdella, K. (2011). Modelling the Effects of Pollution on a Population and a Resource in a Polluted Environment. Applied Mathematics, 2011, 1–31. doi: 10.5402/2011/643985
- Tian, D., Niu, S., Pan, Q., Ren, T., Chen, S., Bai, Y., Han, X. (2015). Nonlinear responses of ecosystem carbon fluxes and water-use efficiency to nitrogen addition in Inner Mongolia grassland. Functional Ecology, 30 (3), 490–499. doi: 10.1111/1365-2435.12513
- Destania, Y., Jaharuddin, Sianturi, P. (2015). Stability Analysis of Plankton Ecosystem Model: Affected by Oxygen Deficit. Applied Mathematical Sciences, 9 (81), 4043–4052. doi: 10.12988/ams.2015.53255
- Bratus', A. S., Novozhilov, A. S., Platonov, A. P. (2010). Dinamicheskie sistemy i modeli biologii [Dynamic systems biology models]. Moscow: FIZMATLIT, 400.
- Bratus', A. S., Novozhilov, A. S., Rodina, E. V. (2005). Diskretnye dinamicheskie sistemy i matematicheskie modeli v ehkologii [Discrete dynamical systems and mathematical models in ecology]. Moscow: MIIT, 139.
- Novozhilov, A. (2002). Mathematical model of interaction with the environment pollution. Moscow: MIIT, 84.
- Sokolov, E. M., Sheinkman, L. E., Dergunov, D. V. (2014). Nonlinear decay kinetics of phenolic compounds in the aquatic environment. Fundamental'nye issledovaniya, 9, 2677–2681.
- Civina, I. M. (2013). Prirodno-tehnogennye kompleksy i osnovy prirodoobustrojctva. Novocherkassk: NGMA, 79.
- Golovanov, A. I. (2001). Osnovy prirodoobustrojstva [Fundamentals of Environmental Engineering]. Moscow: Kolos, 214.
- El'kin, Yu. E. (2006). Autowave processes. Matematicheskaya biologiya i bioinformatika, 1 (1), 27–40.
- Aladjev, V. Z., Boica, V. K., Rouba, Y. A. (2008). Klassicheskie odnorodnye struktury: Teoriya i prilozheniya [Classical Cellular Automata: Theory and Applications]. Grodno: GrGU, 486.
- Gordienko, V. A., Starkov, M. V. (2011). Simulation of biospheric processes and prediction in ecology from the standpoint of synergy. Fizicheskie problemy ehkologii (ehkologicheskaya fizika), 17, 98–117.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2016 Leonid Plyatsuk, Elizabeth Chernish
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.