Existence and global attractivity of periodic solution of a model in population dynamics (Q1367114)

This paper is concerned with existence and global attractivity of a nonnegative periodic solution of the integro-differential equation \[ \frac{dH(t)}{dt}=- \gamma(t) H(t)+ \alpha(t) \int_0^\infty K(s) H(t-s)e^{-\beta(t) H(t-s)} ds, \qquad t\geq 0. \] In particular, when the coefficients of the equation are constants, the result obtained reveals the threshold property of the equation.