1. J. Jiao, S. Cai, and L. Chen, ‘‘Analysis of a stage-structured predator’prey system with birth pulse and impulsive harvesting at different moments,’’ Nonlin. Anal. Real World Appl. 12, 2232–2244 (2011).
2. L. Nie, Z. Teng, and A. Torres, ‘‘Dynamic analysis of an SIR epidemic model with state dependent pulse vaccination,’’ Nonlin. Anal. Real World Appl. 13, 1621–1629 (2012).
3. S. Tang and L. Chen, ‘‘Density-dependent birth rate, birth pulses and their population dynamic consequences,’’ J. Math. Biol. 44, 185–199 (2002).
4. F. Cordova-Lepe, R. Del Valle, and G. Robledo, ‘‘Stability analysis of a self-cycling fermentation model with state-dependent impulse times,’’ Math. Methods Appl. Sci. 37, 1460–1475 (2014).
5. D. Bainov and P. Simenov, Impulsive Differential Equations: Periodic Solutions and Applications, Part of Pitman Monographs and Surveys in Pure and Applied Mathematics (Longman Sci. Tech. Harlow, 1993)