Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations | Zendy

Xiaoming Fan | Zendy; Zhigang Wang | Zendy; Fuquan Jiang | Zendy

Open Access

Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations

Author(s) -

Xiaoming Fan,

Zhigang Wang,

Fuquan Jiang

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 - 10.1155/2012/963486

Subject(s) - mathematics , mutualism (biology) , functional response , comparison theorem , coincidence , exponential stability , lyapunov function , stability (learning theory) , control theory (sociology) , mathematical analysis , predator , predation , nonlinear system , control (management) , medicine , ecology , paleontology , physics , alternative medicine , management , pathology , quantum mechanics , machine learning , computer science , economics , biology

We explore the dynamics of a class of mutualism-competition-predator interaction models with Beddington-DeAngelis functional responses and impulsive perturbations. Sufficient conditions for existence of positive periodic solution are established by using a continuation theorem in coincidence degree theory, which have been extensively applied in studying existence problems in differential equations and difference equations. In addition, sufficient criteria are given for the global stability and the globally exponential stability of system by employing comparison principle and Lyapunov method

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