title: The geometrical analysis of a predator-prey model with two state impulses.
abstract: Using successor functions and Poincaré-Bendixson theorem of impulsive differential equations, the existence of periodical solutions to a predator-prey model with two state impulses is investigated. By stability theorem of periodic solution to impulsive differential equations, the stability conditions of periodic solutions to the system are given. Some simulations are exerted to prove the results.
authors.affiliation: Anshan Normal University, Anshan, 43 Ping An Street, Tiedong District, 114007 Liaoning, PR China. lczhao36@163.com
authors.forename: Lichun
authors.initials: L
authors.lastname: Zhao
authors.forename: Lansun
authors.initials: L
authors.lastname: Chen
authors.forename: Qingling
authors.initials: Q
authors.lastname: Zhang
mesh_terms: D000818:Animals; D003198:Computer Simulation; D017753:Ecosystem; D006376:Helminths / Q000254:growth & development; D008954:Models, Biological; D028222:Picea / Q000469:parasitology; D011157:Population Dynamics; D011235:Predatory Behavior