Dynamics of an impulsively controlled Michaelis-Menten type predator-prey system

作者：Baek Hunki^*; Lim Yongdo

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(4): 2041-2053.

DOI：10.1016/j.cnsns.2010.08.006

• Predator-prey model
• Michaelis-Menten functional response
• Impulsive differential equation
• Floquet theory
• Permanence

We study a predator-prey system with a Michaelis-Menten functional response and impulsive perturbations which contain chemical and biological control terms By applying the Floquet theory we establish conditions for the existence and stability of prey free solutions of the system We also show the existence of a positive periodic solution of the system by using the bifurcation theorem and find a sufficient condition that makes the

• 出版日期2011-4