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THE PERSISTENCE AND STABILITY FOR A PREDATOR-PARASITE-PEST SYSTEM
作者姓名:刘来福  王育全
作者单位:LIU LAIFU (Department of Mathematics,Beijing Normal University,Beijing 100875,China)WANG YUQUAN (Department of Mathematics,Huaihua Teachers' Collage,Hunan 418008,China)
摘    要:THEPERSISTENCEANDSTABILITYFORAPREDATOR-PARASITE-PESTSYSTEMLIULAIFU(DepartmentofMathematics,BeijingNormalUniversity,Beijing100...

收稿时间:15 February 1992

The persistence and stability for a predator-parasite-pest system
Laifu Liu,Yuquan Wang.THE PERSISTENCE AND STABILITY FOR A PREDATOR-PARASITE-PEST SYSTEM[J].Acta Mathematicae Applicatae Sinica,1996,12(2):216-224.
Authors:Laifu Liu  Yuquan Wang
Institution:(1) Department of Mathematics, Beijing Normal University, 100875 Beijing, China;(2) Department of Mathematics, Huaihua Teachers' College, 418008 Hunan, China
Abstract:The model of a kind of predator-parasite-pest system is built in t his paper in which the parasite population is controlled by predator in such a way that it preys upon the pest individuals parasitized. A disgusty of predator for preying upon the pest individuals parasited is introduced in the model to measure the intensity that the parasite population was controlled by the predator.The persistence and the stability are studied for this system mathematically. And the influence of the disgusty on the persistence of the system is also noticed in biology.
Keywords:Dynamics of populations  enemy-pest system  persistence  stability
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