Dynamic Inequalities on Time Scales with Applications in Permanence of Predator‐Prey System | Zendy

Meng Hu | Zendy; Lili Wang | Zendy

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Dynamic Inequalities on Time Scales with Applications in Permanence of Predator‐Prey System

Author(s) -

Meng Hu,

Lili Wang

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 - 10.1155/2012/281052

Subject(s) - mathematics , predation , dynamic equation , predator , computer science , control theory (sociology) , ecology , nonlinear system , artificial intelligence , control (management) , biology , physics , quantum mechanics

By using the theory of calculus on time scales and some mathematical methods, several dynamic inequalities on time scales are established. Based on these results, we derive some sufficient conditions for permanence of predator-prey system incorporating a prey refuge on time scales. Finally, examples and numerical simulations are presented to illustrate the feasibility and effectiveness of the results

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