Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects | Zendy

Wencai Zhao | Zendy; Tongqian Zhang | Zendy; Xinzhu Meng | Zendy; Yang Yang | Zendy

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Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects

Author(s) -

Wencai Zhao,

Tongqian Zhang,

Xinzhu Meng,

Yang 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 - 10.1155/2013/204642

Subject(s) - mathematics , stability (learning theory) , focus (optics) , integrated pest management , differential equation , point (geometry) , mathematical analysis , geometry , computer science , ecology , physics , machine learning , optics , biology

A new pest management mathematical model with saturated growth is proposed. The integrated pest management (IPM) strategy by introducing two state dependent pulses into the model is considered. Firstly, we analyze singular points of the model qualitatively and get the condition for focus point. Secondly, by using geometry theory of impulsive differential equation, the existence and stability of periodic solution of the system are discussed. Lastly, some examples and numerical simulations are given to illustrate our results

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