Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640186 | Journal of Computational and Applied Mathematics | 2010 | 8 Pages |
Abstract
In this paper, according to integrated pest management principles, a class of Lotka–Volterra predator–prey model with state dependent impulsive effects is presented. In this model, the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. The sufficient conditions for the existence and stability of the positive order-1 periodic solution are given by the Poincaré map and the properties of the LambertW function.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuan Tian, Kaibiao Sun, Lansun Chen,