dynamic analysis of an impulsive predator-prey model with disease in prey and ivlev-type functional response
;Yuanfu Shao;Peiluan Li;Guoqiang Tang
science and technology of advanced materials2012Vol. 2012pp. -
111
shao2012abstractdynamic
Abstract
A predator-prey model with disease in prey, Ivlev-type functional
response, and impulsive effects is proposed. By using Floquet theory and small amplitude
perturbation skill, sufficient conditions of the existence and global stability of susceptible pest-eradication periodic solution are obtained. By impulsive comparison theorem, conditions ensuring the permanence of the system are established. Examples and simulation are given to
show the complex dynamics for the key parameters.