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

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,xt)), 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.