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In this paper, a novel West Nile Virus model looking upon the infected birdsas monitoring threshold, for the mosquitoes and birds with impulsive statefeedback control is considered. We obtain sufficient conditions of the globalasymptotical stability of the system without impulsive state feedback controlvia comprehensively qualitative analysis. By using the Poincar\'e map, weobtain that the system with impulsive state feedback control has a positiveperiodic solution of order-1 or order-2 which is asymptotical stability due tothe analogue of Poincar\'e criterion, theory of differential inequalities,differential equation geometry and so on. What's more, sufficient conditionsfor existence and stability of the order one periodic solution are given by theexistence and uniqueness of the limit. Our results show that the controlmeasure is effective and feasible by means of numerical simulations.

A state-dependent vector control for a West Nile Virus model from mosquitoes to birds