Global attractivity and positive almost periodic solution of a single species population model

Abstract 3/2-criterion is built, which guarantees the global attractivity of positive solution for equation having the form x ′ ( t ) = a ( t ) x ( t ) ( 1 − L ( t , x t ) ) , where a ( t ) ⩾ 0 and the linear functional L ( t , ⋅ ) is positive. Moreover, when the equation is almost periodic, the similar conditions can also guarantee the existence and uniqueness of almost periodic solution that is globally attractive. Our results improve those in literature.