A White-headed langurs impulsive state feedback control model with sparse effect and continuous delay

Abstract In this paper, a white-headed langurs impulsive state feedback control model with sparse effect and continuous delay is investigated. We get the sufficient condition under which the system has a unique order-1 periodic solution through the method of successor function, and prove the stability of the order-1 periodic solution by the limit method of the successor point sequences. Furthermore, we perform numerical analysis on the theoretical results. Our results show that artificial breeding and releasing langurs in captive to the wild can effectively protect wild white-headed langurs with sparse effect and continuous delay.