资源描述：
《生态环境系统中一类相互作用生态种群动态优化和控制(英文)》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、生态环境系统中一类相互作用生态种群动态优化和控制（英文）AbstractEcologicalenvironmentsystemisacomplexinformationsystemrequiringtheinterdisciplinaryemploymentofsciencesofbiology,environment,infonnation,mathematicsaswellastheintensivestudyofcomputerscience・Thestudyofdecisiononmacrooptimisticcontr
2、olofecologicalsystemhasinrecentyearsbecomeamajorsubjectthatmathematicsandecologistsinandoutofChinaexploreindepth.Basedontheneedsofthecurrentpopulationecologyresearchtothedevelopmentofmacroscopicandmicroscopic,extendingandthenumberofpopulationecologyofcomplexsystemmod
3、eling,bydiscussingtheanalyticityandmacrooptimisticcontroloftwokindsofinteractingecologicalpopulationmodelswithcompetitivemechanismandlocalstability,thispapermakesmorerigorousthecontrolofecologicalenvironmentsystemandprovidesvaluablemethodsforanalyticalanalysisandcont
4、roloptimizationofakindofecologicalsystem.Itnotonlyhelpssignificantlywiththemodelingandanalyzingoftwokindsofcompetingandreciprocalecologicalsystem，butalsoguidestheanalyticalanalysisandmacro-controlofmorecomplexecologicalenvironmentsystem.KeywordsEcologicalpopulationmo
5、del；Isoclineequation；Densityrestraint；Analyticalanalysis；OptimizationandcontrolCLCnumberO175DocumentcodeAThestability,boundandexistenceoflimitcyclesolutionoftheinteractivekolmogorovmodeloftwokindsofgroups,namely,2TheBoundoftheKolmogorovModelThetwo-speciescompetitiona
6、ndpredator-preymodel(1)F120(Thehuntergetstheprovisiongivenbythebait)(3)Whenx2=0,Fll0whichmakesFl(0,K)二0(Kisthehimter'sabovecriticaldensitywithoutthebait)(6)ThereisaconstantnumberL>0whichmakesFl(L,0)=0(Listhebaitloadedcapacitywithoutthehunter)(7)Thereisaconstantnumber
7、M>0whichmakesF2(M,0)=0(Misthebaitbelowcriticaldensitywithoutthehunter)Finally,let，ssupposethatthehunter，sincreasingonlyreliesontheprovisionofthebait,then,Therefore,thetrendthattheintegralcurveinENrunsthroughisshowninFigure3.3TheExistenceoftheLimitCycleoftheKolmogorov
8、ModelInordertostudytheexistenceofthelimitcycleofthekolmogorovmodel(1),letssupposethefollowing：(9)L>M.(10)Throughtheisoclineequation
