Qin, Wenjie; Tang, Guangyao; Tang, Sanyi Generalized predator-prey model with nonlinear impulsive control strategy. (English) Zbl 1406.92683 J. Appl. Math. 2014, Article ID 919242, 11 p. (2014). Summary: A generalized predator-prey model concerning integrated pest management and nonlinear impulsive control measures is proposed and analyzed. The main purpose is to understand how resource limitation affects the successful pest control and pest outbreaks. The threshold conditions for the stability of the pest-free periodic solution are given firstly. Once the threshold value exceeds a critical level, both pest and its natural enemy populations can oscillate periodically. Secondly, in order to address how the limited resources affect the pest control, as an example the Holling II functional response function is chosen. The numerical results show that predator-prey model with limited resource has complex dynamical behavior. In addition, it is confirmed that the model has the coexistence of pests and natural enemies for a wide range of parameters. Cited in 4 Documents MSC: 92D40 Ecology 92D30 Epidemiology 34A37 Ordinary differential equations with impulses PDF BibTeX XML Cite \textit{W. Qin} et al., J. Appl. Math. 2014, Article ID 919242, 11 p. (2014; Zbl 1406.92683) Full Text: DOI OpenURL