Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy | Zendy

Wenjie Qin | Zendy; Guangyao Tang | Zendy; Sanyi Tang | Zendy

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Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy

Author(s) -

Wenjie Qin,

Guangyao Tang,

Sanyi Tang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/919242

Subject(s) - predation , pest analysis , predator , stability (learning theory) , comparison theorem , nonlinear system , resource (disambiguation) , control theory (sociology) , functional response , integrated pest management , mathematics , ecology , computer science , control (management) , biology , physics , artificial intelligence , computer network , botany , quantum mechanics , machine learning

A generalized predator-prey model concerning integrated pest management and nonlinear impulsive control measures is proposed and analyzed. The main purpose is to understand how resource limitation affects the successful pest control and pest outbreaks. The threshold conditions for the stability of the pest-free periodic solution are given firstly. Once the threshold value exceeds a critical level, both pest and its natural enemy populations can oscillate periodically. Secondly, in order to address how the limited resources affect the pest control, as an example the Holling II functional response function is chosen. The numerical results show that predator-prey model with limited resource has complex dynamical behavior. In addition, it is confirmed that the model has the coexistence of pests and natural enemies for a wide range of parameters

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