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.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2003-12-01
|
| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/34025 |
| _version_ | 1826587635502546944 |
|---|---|
| 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.
|
| first_indexed | 2024-03-07T14:22:51Z |
| format | Article |
| id | doaj.art-f620f157fab245998fd237e0057df18d |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2025-03-14T16:28:34Z |
| publishDate | 2003-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-f620f157fab245998fd237e0057df18d2025-02-21T18:12:20ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2003-12-0143spec.10.15388/LMR.2003.34025Modified 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.zurnalai.vu.lt/LMR/article/view/34025 |
| 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.zurnalai.vu.lt/LMR/article/view/34025 |
| work_keys_str_mv | AT donatassvitra modifiedlogisticdifferentialequationofneutraltypewithtimedelay |