Affiliation:
1. Mississippi State University
Abstract
Consider the following higher order difference equation
x
(
n
+
1
)
=
a
x
(
n
)
+
b
f
(
x
(
n
)
)
+
c
f
(
x
(
n
−
k
)
)
,
n
=
0
,
1
,
…
where
a
,
b
and c are constants with
0
<
a
<
1
,
0
≤
b
<
1
,
0
≤
c
<
1
and
a
+
b
+
c
=
1
,
f
∈
C
[
[
0
,
∞
)
,
[
0
,
∞
)
]
with
f
(
x
)
>
0
for
x
>
0
, and k is a positive integer. Our aim in this paper is to study the global attractivity of positive solutions of this equation and its applications to some population models.
Cited by
5 articles.
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