Threshold dynamics of a predatora??prey model with age-structured prey

摘要

A predatora??prey model, with aged structure in the prey population and the assumption that the predator hunts prey of all ages, is proposed and investigated. Using the uniform persistence theory for infinite dimensional dynamical systems, the global threshold dynamics of the model determined by the predatora??s net reproductive number (Re_{P}) are established: the predator-free equilibrium is globally stable if (Re_{P}1), while the predator persists if (Re_{P}1). Numerical simulations are given to illustrate the results.