Dynamic Analysis of an Impulsive Predator-Prey Model with Disease in Prey and Ivlev-Type Functional Response | Zendy

Yuanfu Shao | Zendy; Peiluan Li | Zendy; Guoqiang Tang | Zendy

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Dynamic Analysis of an Impulsive Predator-Prey Model with Disease in Prey and Ivlev-Type Functional Response

Author(s) -

Yuanfu Shao,

Peiluan Li,

Guoqiang Tang

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/750530

Subject(s) - functional response , predation , mathematics , type (biology) , control theory (sociology) , predator , biology , ecology , artificial intelligence , computer science , control (management)

A predator-prey model with disease in prey, Ivlev-type functionalresponse, and impulsive effects is proposed. By using Floquet theory and small amplitudeperturbation 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 toshow the complex dynamics for the key parameters

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