Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting | Zendy

Jiangtao Yang | Zendy; Zhichun Yang | Zendy

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Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting

Author(s) -

Jiangtao Yang,

Zhichun Yang

Publication year - 2013

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 - 10.1155/2013/832701

Subject(s) - floquet theory , mathematics , stability (learning theory) , perturbation (astronomy) , integrated pest management , pest analysis , control theory (sociology) , agroforestry , ecology , computer science , environmental science , botany , biology , artificial intelligence , control (management) , physics , quantum mechanics , nonlinear system , machine learning

We formulate a pest management model with periodically releasing infective pests, immature and mature natural enemies, and harvesting pests and crops at two different fixed moments. Sufficient conditions ensuring the locally and globally asymptotical stability of the susceptible pest-eradication period solution are found by means of Floquet theory, small amplitude perturbation techniques, and multicomparison results. Furthermore, the permanence of system is also derived. By numerical analysis, we also show that impulsive releasing and harvesting at two different fixed moments can bring obvious effects on the dynamics of system, which also corroborates our theoretical results

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