The geometrical analysis of a predator-prey model with two state impulses. (English) Zbl 1250.92047

Summary: Using successor functions and the Poincaré-Bendixson theorem of impulsive differential equations, the existence of periodil solutions to a predator-prey model with two state impulses is investigated. By a stability theorem of periodic solutions to impulsive differential equations, the stability conditions of periodic solutions to the system are given. Some simulations are exerted to prove the results.


92D40 Ecology
34A37 Ordinary differential equations with impulses
34C25 Periodic solutions to ordinary differential equations
37N25 Dynamical systems in biology
65C20 Probabilistic models, generic numerical methods in probability and statistics
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