Positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response
By using a continuation theorem based on coincidence degree theory, some new and interesting sufficient conditions are obtained for the existence of positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response x ′ ( t ) = x ( t ) [ r ( t...
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| Veröffentlicht in: | Applied mathematics and computation 2011-12, Vol.218 (8), p.4341-4348 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | By using a continuation theorem based on coincidence degree theory, some new and interesting sufficient conditions are obtained for the existence of positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response
x
′
(
t
)
=
x
(
t
)
[
r
(
t
)
-
a
(
t
)
x
(
t
-
σ
1
)
-
ρ
x
′
(
t
-
σ
2
)
]
-
c
(
t
)
x
2
(
t
)
m
2
y
2
(
t
)
+
x
2
(
t
)
y
(
t
)
,
y
′
(
t
)
=
y
(
t
)
-
d
(
t
)
+
h
(
t
)
x
2
(
t
-
τ
(
t
)
)
m
2
y
2
(
t
-
τ
(
t
)
)
+
x
2
(
t
-
τ
(
t
)
)
.
An example is represented to illustrate the feasibility of our main results. |
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| ISSN: | 0096-3003 1873-5649 |
| DOI: | 10.1016/j.amc.2011.10.009 |