Harvesting in a Periodic Habitat with Allee Effect

The dynamics of a harvested single species thatgoes extinct when rare is described by a nonlinear differentialequation &where r, K, A and h arepositive continuous T-periodic functions. N is the populationsize, A (0 < A < K) is the threshold population size below whichN < 0 due to Allee effect, r is the intrinsic growth rate and K isthe carrying capacity of the environment and h is theharvesting. The aim of this paper is to study the existence ofperiodic solutions and their stability properties. We discuss theeffect of harvesting on a single species population in afluctuating environment whose dynamics is described by anonlinear differential equation.