Huang, Canyun; Qiu, Hui; Meng, Xinyou Stability analysis of a class of predator-prey models controlled with state-dependent impulse. (Chinese. English summary) Zbl 1399.35066 J. Lanzhou Univ. Technol. 43, No. 5, 144-149 (2017). Summary: Holling-IV predator-prey model controlled with state-dependent impulse and two different criticals is investigated. Using geometric analysis and successor function, the existence of first-order periodic solution of the system is proved. By quasi-PoincarĂ©’s criterion, the sufficient condition for the orbital asymptotical stability of first-order periodic solution of the system is given. Moreover, the reliability of achieved theoretical result is shown by numerical simulation. MSC: 35B35 Stability in context of PDEs 35B10 Periodic solutions to PDEs 92D25 Population dynamics (general) Keywords:state-dependence; impulsive control; first-order periodic solution; orbital stability PDFBibTeX XMLCite \textit{C. Huang} et al., J. Lanzhou Univ. Technol. 43, No. 5, 144--149 (2017; Zbl 1399.35066)