Dynamics of age-structured predator-prey population models

AbstractA predator-prey model is investigated in which the prey population is assumed to have age structure and is governed by the McKendrick-von Foerster partial differential equation and the predator population is described by the classical Volterra-Lotka ordinary differential equation. Quite general hypotheses are assumed for the mortality function, the fertility function, and the functional responses of predation. Existence and stability of three biologically meaningful equilibria, corresponding to extinction of both species, persistence of one species prey, and coexistence of two species, are studied. A particular example and some numerical results are given