Delay differential logistic equations with harvesting
The logistic delay equation with a linear delay harvesting term N . ( t ) = r ( t ) N ( t ) [ a − ∑ k = 1 m b k N ( h k ( t ) ) ] − ∑ l = 1 n c l ( t ) N ( g l ( t ) ) , t ≥ 0 , N ( t ) = φ ( t ) , t < 0 , N ( 0 ) = N 0 , is considered. The existence and the bounds of positive solutions are studi...
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| Veröffentlicht in: | Mathematical and computer modelling 2004-06, Vol.39 (11), p.1243-1259 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The logistic delay equation with a linear delay harvesting term
N
.
(
t
)
=
r
(
t
)
N
(
t
)
[
a
−
∑
k
=
1
m
b
k
N
(
h
k
(
t
)
)
]
−
∑
l
=
1
n
c
l
(
t
)
N
(
g
l
(
t
)
)
,
t
≥
0
,
N
(
t
)
=
φ
(
t
)
,
t
<
0
,
N
(
0
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=
N
0
,
is considered. The existence and the bounds of positive solutions are studied. Sufficient conditions for the extinction of the solution are presented. |
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| ISSN: | 0895-7177 1872-9479 |
| DOI: | 10.1016/j.mcm.2004.06.005 |