Biologically motivated stability results for a general class of impulsive functional differential equations

摘要

Motivated by considerations on the success of integrated pest management strategies and on the associated economically relevant thresholds, this paper is concerned with the finite time dynamics of a class of impulsive functional differential systems with delay. By using an approach based on the Lyapunov–Razumikhin method, we determine sufficient conditions for the finite-time contractive stability of the null solution, these findings being then interpreted in biological terms as predictors for the success of a pest management strategy. Numerical simulations are also carried out to illustrate the feasibility of our results.