Modified logistic differential equation of neutral type with time delay
The following differential equation is considered: N(t) = rN [1 +a( 1 − {N(t)}/K)− {N(t − h) + ρN(t − h)}/K]. The stable periodic solution based on the bifurcation theory of that differential equation is constructed.
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2003-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/32371 |
| _version_ | 1797363721019850752 |
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| author | Donatas Švitra |
| author_facet | Donatas Švitra |
| author_sort | Donatas Švitra |
| collection | DOAJ |
| description |
The following differential equation is considered:
N(t) = rN [1 +a( 1 − {N(t)}/K)− {N(t − h) + ρN(t − h)}/K].
The stable periodic solution based on the bifurcation theory of that differential equation is constructed.
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| first_indexed | 2024-03-08T16:25:13Z |
| format | Article |
| id | doaj.art-3646b5616b824002b65f7b1d64a31e9c |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-03-08T16:25:13Z |
| publishDate | 2003-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-3646b5616b824002b65f7b1d64a31e9c2024-01-07T08:59:03ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2003-12-0143spec.10.15388/LMR.2003.32371Modified logistic differential equation of neutral type with time delayDonatas Švitra0Klaipedos University The following differential equation is considered: N(t) = rN [1 +a( 1 − {N(t)}/K)− {N(t − h) + ρN(t − h)}/K]. The stable periodic solution based on the bifurcation theory of that differential equation is constructed. https://www.journals.vu.lt/LMR/article/view/32371 |
| spellingShingle | Donatas Švitra Modified logistic differential equation of neutral type with time delay Lietuvos Matematikos Rinkinys |
| title | Modified logistic differential equation of neutral type with time delay |
| title_full | Modified logistic differential equation of neutral type with time delay |
| title_fullStr | Modified logistic differential equation of neutral type with time delay |
| title_full_unstemmed | Modified logistic differential equation of neutral type with time delay |
| title_short | Modified logistic differential equation of neutral type with time delay |
| title_sort | modified logistic differential equation of neutral type with time delay |
| url | https://www.journals.vu.lt/LMR/article/view/32371 |
| work_keys_str_mv | AT donatassvitra modifiedlogisticdifferentialequationofneutraltypewithtimedelay |