The Dynamics of a Predator-prey Model with Ivlev's Functional Response Concerning Integrated Pest Management

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摘要 Amathematicalmodelofapredator-preymodelwithIvlev'sfunctionalresponseconcerningintegratedpestmanagement(IPM)isproposedandanalyzed.Weshowthatthereexistsastablepest-eradicationperiodicsolutionwhentheimpulsiveperiodislessthansomecriticalvalues,Furthermore,theconditionsforthepermanenceofthesystemaregiverl.Byusingbifurcationtheory,weshowtheexistenceandstabilityofapositiveperiodicsolution.Theseresultsarequitedifferentfromthoseofthecorrespondingsystemwithoutimpulses.Numericalsimulationshowsthatthesystemweconsiderhasmorecomplexdynamicalbehaviors.Finally,itisprovedthatIPMstrageyismoreeffectivethantheclassicalone.
机构地区 不详
出版日期 2004年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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