You Position: Home > Paper
An Impulsive Predator-Prey System with Stage-Structured and Modified Leslie-Gower Holling Ⅱ Type Schemes
( views:157, downloads:0 )
- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 2
- DOI:
- 10.3969/j.issn.1001-9626.2008.02.002
- Key Word:
- 食饵-捕食模型;脉冲扰动;永久持续生存;阶段结构;Predator-prey models;Impulse perturbation;Permanence;Stage structure
Abstract： In this paper, we consider a stage-structured and modified Leslie-Gower Holling II type schemes predator-prey model with time delay and impulsive harvesting on predator. By using the comparison theory of impulsive equation and small pertur-bation method, we obtain some corresponding threshold conditions which guarantee the globally asymptotical stability of prey-extinction periodic solution and the permanence of this system.
- [1]Aziz-Alaoui MA.,Okiye MD..Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes[J].2003,16(7).
- [2]W G, Aiello,H I, Freedman.A time-delay model of single-species growth with stage structure.[J].1990,101(2).
- [3]S. N.WOOD,S. P.BLYTHE,W. S. C.GURNEY,etc.Instability in Mortality Estimation Schemes Related to Stage-Structure Population Models[J].1989,6(1).
- [4]P. H.LESLIE,J. C.GOWER.The properties of a stochastic model for the predator-prey type of interaction between two species[J].1960,47(3-4).
- [5]P. H.LESLIE.Some Further Notes on the Use of Matrices in Population Mathematics[J].1948,35(3-4).