Analysis of stability of the dynamic model of ecological system contaminated by radionuclides

Dynamic model of ecosystem on slope’s landscape contaminated with radioactive Cs137 is considered. Migration of the pollutant is simulated by the system of differential equations that is investigated for stability. It is proved that the system is stable in all range of parameters of the ecosystem. N...

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Main Authors: V. P. Petrusenko, I. P. Shmakov, Yu. A. Kutlakhmedov
Format: Article
Language:English
Published: Institute for Nuclear Research, National Academy of Sciences of Ukraine 2008-04-01
Series:Ядерна фізика та енергетика
Online Access:http://jnpae.kinr.kiev.ua/23(1)/Articles_PDF/jnpae-2008-1(23)-0073-Petrusenko.pdf
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author V. P. Petrusenko
I. P. Shmakov
Yu. A. Kutlakhmedov
author_facet V. P. Petrusenko
I. P. Shmakov
Yu. A. Kutlakhmedov
author_sort V. P. Petrusenko
collection DOAJ
description Dynamic model of ecosystem on slope’s landscape contaminated with radioactive Cs137 is considered. Migration of the pollutant is simulated by the system of differential equations that is investigated for stability. It is proved that the system is stable in all range of parameters of the ecosystem. Numerical data are evaluated for studing the effect of ecosystem’s parameters on the level of contamination. It means that the offered updating of the method of box models is capable adequately to describe different ecosystems types, polluted by radionuclides and heavy metals.
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institution Kabale University
issn 1818-331X
2074-0565
language English
publishDate 2008-04-01
publisher Institute for Nuclear Research, National Academy of Sciences of Ukraine
record_format Article
series Ядерна фізика та енергетика
spelling doaj-art-83dcda1c290f4fd8896fde307e444b062025-08-20T03:37:37ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineЯдерна фізика та енергетика1818-331X2074-05652008-04-0191(23)7377Analysis of stability of the dynamic model of ecological system contaminated by radionuclidesV. P. Petrusenko0I. P. Shmakov1Yu. A. Kutlakhmedov2National Aviation University, Kyiv, UkraineNational Aviation University, Kyiv, UkraineNational Aviation University, Kyiv, UkraineDynamic model of ecosystem on slope’s landscape contaminated with radioactive Cs137 is considered. Migration of the pollutant is simulated by the system of differential equations that is investigated for stability. It is proved that the system is stable in all range of parameters of the ecosystem. Numerical data are evaluated for studing the effect of ecosystem’s parameters on the level of contamination. It means that the offered updating of the method of box models is capable adequately to describe different ecosystems types, polluted by radionuclides and heavy metals.http://jnpae.kinr.kiev.ua/23(1)/Articles_PDF/jnpae-2008-1(23)-0073-Petrusenko.pdf
spellingShingle V. P. Petrusenko
I. P. Shmakov
Yu. A. Kutlakhmedov
Analysis of stability of the dynamic model of ecological system contaminated by radionuclides
Ядерна фізика та енергетика
title Analysis of stability of the dynamic model of ecological system contaminated by radionuclides
title_full Analysis of stability of the dynamic model of ecological system contaminated by radionuclides
title_fullStr Analysis of stability of the dynamic model of ecological system contaminated by radionuclides
title_full_unstemmed Analysis of stability of the dynamic model of ecological system contaminated by radionuclides
title_short Analysis of stability of the dynamic model of ecological system contaminated by radionuclides
title_sort analysis of stability of the dynamic model of ecological system contaminated by radionuclides
url http://jnpae.kinr.kiev.ua/23(1)/Articles_PDF/jnpae-2008-1(23)-0073-Petrusenko.pdf
work_keys_str_mv AT vppetrusenko analysisofstabilityofthedynamicmodelofecologicalsystemcontaminatedbyradionuclides
AT ipshmakov analysisofstabilityofthedynamicmodelofecologicalsystemcontaminatedbyradionuclides
AT yuakutlakhmedov analysisofstabilityofthedynamicmodelofecologicalsystemcontaminatedbyradionuclides