Dynamics of a Discrete Host-Parasitoid System with Stocking

Abstract EN

Motivated by the biological control of pests, we present discrete-time models of host-parasitoidinteractions to study the effects of external stocking upon thesystems.

It is assumed that density dependence of the hosts occursfirst followed by parasitism.

We prove that the constant stockingcan eliminate the pest population if the stocking is sufficientlylarge.

Furthermore, stocking can simplify the dynamics of theinteraction by stabilizing the coexisting steady state.