Bifurcation analysis in a class of predator-prey systems with state pulse control
GENG Yan， DOU Jihong*, ZHAO Tingting
(School of Mathematics, Northwest University, Xi′an 710127, Shaanxi, China)
Abstract:
A class of type Holling Ⅲ predator-prey system model is studied by using the theory of impulsive differential equations of the geometric. Different control strategies are implemented, such as capturing preys in proportion and scaling on the predators ,when preys reaches a certain threshold, different paraneter spaces for the existence and stability of periodic solution are investigated.The validity of the results are verified by the numerical model.
KeyWords:
state pulse; global stability; transcritical bifurcation; periodic solutions
