| File | |
| Title |
遅れ型微分方程式N^^・(t)=N(t)(a-bN(t-1)-cN(t-2))について
|
| Title |
On the delay-differential equation N^^・(t)=N(t)(a-bN(t-1)-cN(t-2))
|
| Title Transcription |
オクレ カタ ビブン ホウテイシキ NT=NTA-BNT-1-CNT-2 ニ ツイテ
|
| Creator | |
| Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 23 |
| Start Page | 57 |
| End Page | 71 |
| Journal Identifire |
ISSN 03879925
|
| Descriptions |
Abstract
Boundedness and asymptotic behavior of solutions and existence of periodic solutions of the scalar generalized logistic equation N^^・(t) = N(t) (a - bN(t - 1) - cN(t - 2)) are discussed. In particular, we show partial global uniform asymptotic stability of the constant solution N (t) = a/(b + c), and existence of nontrivial periodic solutions by using a Hopf bifurcation and a fixed point theorem for a closed convex set.
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学理学部
The Faculty of Science, Shimane University
|
| Date of Issued | 1989-12-25 |
| Access Rights | open access |
| Relation |
[NCID]
AN00108106
|
