Abstract
We consider the following discrete Fox harvesting model with feedback control of the form
{
x
(
n
+
1
)
=
x
(
n
)
exp
{
β
(
n
)
ln
r
(
K
(
n
)
x
(
n
)
)
−
α
(
n
)
−
γ
(
n
)
u
(
n
)
}
,
Δ
u
(
n
)
=
−
μ
(
n
)
u
(
n
)
+
ν
(
n
)
x
(
n
)
.
Under the assumptions of almost periodicity of the coefficients, sufficient conditions are established for the existence and uniformly asymptotical stability of almost periodic solutions of this model. The persistence as well as the boundedness of solutions of the above system are discussed prior to presenting the main result. Examples are provided to illustrate the effectiveness of the proposed results.
MSC:
39A11, 34K14.