Delayed Stage-Structured Predator-Prey Model With Impulsive Perturbations on Predator and Chemical Control on Prey

JIAO Jian-jun; CHEN Lan-sun

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(12): 1502-1512

JIAO Jian-jun, CHEN Lan-sun. Delayed Stage-Structured Predator-Prey Model With Impulsive Perturbations on Predator and Chemical Control on Prey[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1502-1512.

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Delayed Stage-Structured Predator-Prey Model With Impulsive Perturbations on Predator and Chemical Control on Prey

JIAO Jian-jun^1,2,
CHEN Lan-sun²

1.
School of Mathematics and Statistics, Guizhou College of Finance & Economics, Guiyang 550004, P. R. China;

Received Date: 2007-03-15
Rev Recd Date: 2007-09-06
Publish Date: 2007-12-15

Abstract

Abstract

A delayed stage-structured pest management predator-prey system with impulsive transmitting on predators and chemical on prey concern was considered. Sufficient conditions of the global attractivity of pest-extinction boundary periodic solution and permanence of the system were obtained. It was also proved that all solutions of the system are uniformly ultimately bounded. The results provide reliable tactical basis for the practical pest management.
- stage-structured,
- delayed,
- impulsive,
- global attractivity,
- permanence,
- pest-extinction

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References(30)

References

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