Affiliation:
1. Ariel University
2. Birla Institute of Technology
Abstract
In this article we use coincidence degree theory to study the existence of a positive periodic solutions to the following bioeconomic model in fishery dynamics
{
d
n
d
t
=
n
(
r
(
t
)
(
1
−
n
K
)
−
q
(
t
)
E
n
+
D
)
,
d
E
d
t
=
E
(
A
(
t
)
q
(
t
)
α
(
t
)
n
n
+
D
−
q
2
(
t
)
α
(
t
)
n
2
E
(
n
+
D
)
2
−
c
(
t
)
)
,
where the functions
r
,
q
,
A
,
c
and α are continuous positive T-periodic functions. This is the model of a coastal fishery represented as a single site with $n(t)$ is the fish stock biomass, and n(t) is the fishing effort. Examples are given to strengthen our results.