Global dynmics of of a syrphid fly-aphid model with stage structure for predator popoluation

Abstract

Abstract. A syrphid fly-aphid model with stage structure for predator population is considered, in which only the immature predator-natural enemy syrphid fly can prey on pest-aphid. By applying Lyapunov functions and LaSalles invariance principle, we show that the global asymptotic stability of the interior equilibrium for the considered model. We also obtain results on the existence and stability of periodic solutions. Numerical simulations are also performed to illustrate the validity of our results.