捕食模型的定性研究.pdf

《捕食模型的定性研究.pdf》由会员上传分享，免费在线阅读，更多相关内容在工程资料-天天文库。

1、Ó.½5ïÄAnalysisofaPredator-PreySystemƉ;’:A^êÆïÄ):Dï•“:o)ÇU9ŒÆnÆ"˜cÊÕM5(²<(²¤¥ÆØ©´<3“•e?1ïÄóŠÚïĤJ,Ø©¥AO±I5Ú—ƒ?,Ø©¥Ø•¹Ù¦<®²uL½>LïĤJ,•Ø•¹•¼U9ŒÆ½Ù¦˜ÅƽyÖ¦^Lá.†·˜ÓóŠÓ“éïĤ‰?Ûzþ®3Ø©¥Š²(`²¿L«¿.ÆØ©Šö¶:iFÏ:cFÆØ©‡¦^ÇÖÆØ©Šö)U9ŒÆk'3!¦^ÆØ©

2、5½.AÇU9ŒÆŒ±òÆØ©ܽܩSN?k'êâ¥?1u¢,¿æ^K

3、Ï)¤¯K¥A«ÏƒpƒŠ^é‡XÚ)Cz©rù¢S¯K^êÆÄ–ŠóLˆÑ5§¿ÏL·‚ïÄêƯK•ª5ïÄù¯Ôm%¹Ÿ5ÆÒ´·‚~„êÆ.©©SṄ©•oŒÜ©©1˜Ü©Ì‡0ähollingII.µÚISïÄyG©1Ü©´Äk?Ø·‚©¤ïá.XÚk.59[ȱY5¶XÏLELiapunov¼ê5y²XÚìC5¶•§!ØXÚu)Hopf©^‡§9XÚ•½5©1nÜ©?ؘaäNÓ.§^~f驉˜‡kÅÖ¿©•˜Ü©•©¯K‰˜‡o(§é·‚)û¯K•3Øv‰

4、˜‡{ü`²±9™5XÛ•Ðõù‡¯K©'…cµÓ{.¶õU‡N¼ê¶[ȱY5¶ž¢5¶ÛìC•½5¶²ï:¶4•‚ABSTRACTInrecentyears§greatachievementshavebeenmadeinadoptingmathematicalmodeltoecologyresearch.Itissuccessfullyappliedtoprotectionofspeciesandtopreventionandtreatmentofinfectiousdiseases.Manyinnovativeachieve

5、mentshavebeenmadeandmucheorthasbeendevotedtothestudyofmathematicalmodelinsolvingpracticalproblems.Basedonrealproblems,mathematicalmodelhasauentmaterialandpracticalmeaning.Itfocusesmainlyontheimpactonthewholesystembytheinteractionofseveralfactors,inbiochemicalreactions,eco

6、systems,generationofgenes,etc.Mathematicalmodelingreferstodescribingsuchconcreteproblemswithabstractmathematicallanguageandanalyzingtheessentiallawsofsuchsystemsinamathematicalway.Itconsistsofthefollowingfourparts.1.ThebackgroundandresearchstatusofthePrey-Predatormodelwithh

7、ollingIIfunctionalresponse.2.DiscussionoftheroundednessandpermanenceofthePrey-Predatormodelwithdelayandratio-dependenthollingIIfunctionalresponse;provingthepro-gressiveofthissystembyconstructingaLiapunovfunction;andthediscussionsoftheconditionofHopfbifurcationandStabilityof

8、thesysterm.3.DiscussionofaspecicPrey-Predatormodelasanexample.4.Theexistingproble