Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response | Zendy

Runxin Wu | Zendy; Lin Li | Zendy

Open Access

Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response

Author(s) -

Runxin Wu,

Lin Li

Publication year - 2013

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 - 10.1155/2013/393729

Subject(s) - functional response , mathematics , verifiable secret sharing , predation , lyapunov function , type (biology) , comparison theorem , control theory (sociology) , predator , computer science , nonlinear system , physics , ecology , control (management) , set (abstract data type) , quantum mechanics , artificial intelligence , biology , programming language , paleontology

By constructing a suitable Lyapunov function andusing the comparison theorem of difference equation, sufficientconditions which ensure the permanence and global attractivity ofthe discrete predator-prey system with Hassell-Varley-Holling III typefunctional response are obtained. An example together with itsnumerical simulation shows that the main results are verifiable

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