Almost periodic solutions for a discrete fishing model with feedback control and time delays

In this paper, we discuss an almost periodic discrete fishing model with feedback control and time delays of the form x ( n + 1 ) = x ( n ) exp a ( n ) 1 + x ( n - σ ) K ( n ) r - b ( n ) - c ( n ) u ( n - τ ) , Δ u ( n ) = - α ( n ) u ( n ) + β ( n ) x ( n - μ ) , where σ, τ and μ are nonnegative integers. By means of an almost periodic functional hull theory, sufficient conditions are established for the existence and uniqueness of globally attractive almost periodic solution to the above system. Three examples and numerical simulations are given to illustrate the effectiveness of our main results.