Dynamic Analysis of an Impulsively Controlled Predator-Prey Model with Holling Type IV Functional Response | Zendy

Yanzhen Wang | Zendy; Min Zhao | Zendy

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Dynamic Analysis of an Impulsively Controlled Predator-Prey Model with Holling Type IV Functional Response

Author(s) -

Yanzhen Wang,

Min Zhao

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/141272

Subject(s) - functional response , mathematics , control theory (sociology) , dynamics (music) , type (biology) , bifurcation , predation , stability theory , pitchfork bifurcation , hopf bifurcation , predator , nonlinear system , physics , computer science , control (management) , ecology , biology , quantum mechanics , artificial intelligence , acoustics

The dynamic behavior of a predator-prey model with Holling type IV functional response is investigated with respect to impulsive control strategies. The model is analyzed to obtain the conditions under which the system is locally asymptotically stable and permanent. Existence of a positive periodic solution of the system and the boundedness of the system is also confirmed. Furthermore, numerical analysis is used to discover the influence of impulsive perturbations. The system is found to exhibit rich dynamics such as symmetry-breaking pitchfork bifurcation, chaos, and nonunique dynamics

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