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Impulsive control strategies in biological control of pesticide
Zhonghua Lu1, Xuebin Chi, Lansun Chen
1Supercomputing Center, Computer Network Information Center, Chinese Academy of Sciences, Post Office Box 349, Number 4, Nan 4 Street, Zhongguancun, 100080, Beijing, People's Republic of China. zhlu@jupiter.cnc.ac.cn
Abstract:
By presenting and analyzing the pest-predator model under insecticides used impulsively, two impulsive strategies in biological control are put forward. The first strategy: the pulse period is fixed, but the proportional constant E(1) changes, which represents the fraction of pests killed by applying insecticide. For this scheme, two thresholds, E(1)(**) and E(1)(*) for E(1) are obtained. If E(1)>or=E(1)(*), both the pest and predator (natural enemies) populations go to extinction. If E(1)(**)
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