几类具有阶段结构的两种群模型最优捕获策略

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2、^ƒÓ•{?Ø•˜²ï:,ÛÜì?•½ÚÛìC•½^‡9íÑ•`Ó¼üÑ.'…c:¿XÚ;-ÓXÚ;p¨XÚ;ÛÜìC•½;ÛìC•½;•`Ó ¼üÑ;Ø©a.:A^ïÄ---II万方数据---=²ÏŒÆa¬ÆØ©AbstractThesurvivalanddevelopmentofbiologicalpopulationallcannotdowithoutitslivingenvironment,intheresourcelimited

3、environment,naturallawofthejunglewildanimalcanlongsurvive?Withtheincreasingenvironmentalpollutionandoverfishing,mysteriousandvastmarineorganismswillbereduced,orevenextinction?Inthecontrolofpests,replacedbyreleasingnaturalenemytospraypesticidesover,thebenigndevelopmentofecologicalsystem?I

4、nordertoensurethebiodiversityofnature,playsanimportantroleinthepersistenceofspecies.Differencesinbiologicalmodelestablishmentoftenoverlooktheabilitytosurviveinthepopulationwithdifferentgrowthprocess,oftenassumethatpopulationsinthebirth,growthandsurvivalabilityisimmutableandfrozeninthepr

5、ocessofripeningandsenescence.Butthefactisnotso,formanypopulationsinnature,itsbirth,thereisacloserelationshipbetweenpredationandsurvivalabilityandtheenvironment.Withthephysiologicalcharacteristicsofthepopulationatsomestageduringthewholelife(suchasbirth,feedingandsurvivalabilityandsoon)on

6、eofthemostcommonphenomenoninnature.Inallstagesofitsgrowthwillshowdifferentcharacteristics,whichaffectthepermanenceandextinctionofspecies.Thespeciesisdividedintodifferentstagemodeltostudy,gettheattentionandresearchofmanyscholarsathomeandabroadInthispaper,onthebasisofpreviousresearchresul

7、ts,basedonthesinglepopulationmodelwithstagestructureofChenLansunstructure,establishsomekindsofmodeloftwospecieswithstage,including;acquisitionstrategyofakindofcompetitionmodelwithstagestructurepredator-preymodel,twospeciesarethebestmutualmodelwithstagestructureandcapturestrategyandtwosp

8、ecieswithstagestructurewhilecapturingtheoptimalharvestingpolicy.Thesetypesofmodelarediscussedmorepracticalresults.Thispapermainlyusesthestabilitytheoryofordinarydifferentialequationandoptimalcontroltheorytoobtainthepersistencemodel,localandglobalstabilityofpositiveequilibriumco