種群動力學行為與生物資源的最優(yōu)開發(fā)策略.pdf

1、東北師范大學博士學位論文種群動力學行為與生物資源的最優(yōu)開發(fā)策略姓名：王靜申請學位級別：博士專業(yè)：生態(tài)學指導教師：王克20041001AbstractThispaperinvestigatemainlysomeproblemsabouttheMathematicalEcology，theycanbedividedintotwommnparts：Oneisthepopulationdynamics；Anotheristheoptimalha

2、rvestingpolicyforrenewablebiologicalresourcesThispaperconsistsoffivechaptersChapterlisintroduction，coverssomepreparationsinMathematicsandEcologyWewillintroducesomedefinitionsintheMathematicsEcologyandthemathematicaltheor

3、iesandmethodsMethodsforstuddingthepopu—lationecologyortheInureordinaryecologyarebysetOngupthemathemat—icalmodelingsWewillgivetheexamplesofthesinglepopulationmodelsandthepopulationwithinteractionmodelsChapter2isthepopulat

4、iondynamicsthatincluding出eexistence，bounded，stabilityandpermanent(populationgoestoextinctionorpermanent)Westudymainlytheexistenceandstabilityofperiodicsolutionsandalmostpe—riodicsolutionsforthepopulationmodelsbytheLiapun

5、ovsecondmethodandthetopologicaldegreetheorem(ifpopulationhasdynamicbalanceornot)Chapter3istheoptimalexploitationpolicyfortherenewablebiologicalresourcesTheoptimalharvestingpolicycarLbegiventothemanagerwhohastheexploitarr

6、angementofthepopulationsuchasasinglepopulationandastage—structurepopulationTheapproachestotheoptimalharvestingpolicyaretheMaximumprincipleandBang—Bangsingularcontr01Chapter4istheproblemthatthediffusioneffectsonthepermane

7、ntandextinctionofthepopulationinthepollutedenvironmentThattosay，itisthesignificanceoftheeffectsofprotectivepatchandconcludethatitiseffectivefortheconservationofpopulationfacetothepollutedenvironmentChapter5isthegeneraliz