On multistability of equations with a distributed delay,monotone production and the Allee effect

We consider the delay population dynamics model dN/dt=f(_Nτ(t))−d(N(t))$dN/dt=f(N_{\tau }(t))-d(N(t))$ with an increasing fecundity function f and any mortality function d where the Allee effect or multistability can be observed. The study includes non-autonomous equations with a distributed delay. Attractivity of certain positive solutions, persistence, extinction of solutions with initial values below a threshold, boundedness and oscillation are discussed.