The Mathematical Study of Pest Management Strategy | Zendy

FU Jin-bo | Zendy; Yanzhen Wang | Zendy

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The Mathematical Study of Pest Management Strategy

Author(s) -

FU Jin-bo,

Yanzhen 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 - 10.1155/2012/251942

Subject(s) - uniqueness , mathematics , pest analysis , mathematical model , successor cardinal , mathematical theory , differential equation , stability (learning theory) , computer science , mathematical analysis , physics , statistics , marketing , quantum mechanics , machine learning , business

The theory of impulsive state feedback control is used to establish a mathematical model in the pest management strategy. Then, the qualitative analysis of the mathematical model was provided. Here, a successor function in the geometry theory of differential equations is used to prove the sufficient conditions for uniqueness of the 1-periodic solution. It proved the orbital asymptotic stability of the periodic solution. In addition, numerical analysis is used to discuss the application significance of the mathematical model in the pest management strategy

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