Modeling Population Dynamics.pdf

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1、ModelingPopulationDynamicsFromtheLibraryofGirrogirro@qq.comAndr´eM.deRoosFromtheLibraryofGirro@qq.comFromtheLibraryofGirrogirro@qq.comFromtheLibraryofGirro@qq.comModelingPopulationDynamicsAndr´eM.deRoosInstituteforBiodiversityandEcosystemDynamicsPopulationBiologySection,Un

2、iversityofAmsterdamKruislaan320,1098SMAmsterdam,TheNetherlandsE-mail:aroos@science.uva.nlFromtheLibraryofGirrogirro@qq.com23december2011FromtheLibraryofGirro@qq.comFromtheLibraryofGirrogirro@qq.comFromtheLibraryofGirro@qq.comInhoudsopgaveIPrefaceandIntroduction11Introducti

3、on31.1Somemodelingphilosophy.............................3IIUnstructuredPopulationModelsinContinuousTime52Modellingpopulationdynamics72.1Describingapopulationanditsenvironment..................72.1.1Thepopulationorp-state..........................72.1.2Theindividualori-sta

4、te...........................82.1.3TheenvironmentalorE-condition.....................92.2Populationbalanceequation............................102.3Characterizingthepopulation...........................112.4Population-levelandpercapitarates.......................122.5Modelb

5、uilding...................................152.5.1Exponentialpopulationgrowth.......................15FromtheLibraryofGirro2.5.2Logisticpopulationgrowth..........................162.5.3Two-sexespopulationgrowth........................172.6Parametersandstatevariables........

6、..................182.7Deterministicandstochasticmodels................girro@qq.com.......193Singleordinarydifferentialequations213.1Explicitsolutions..................................213.2Numericalintegration...............................233.3Analyzingflowpatterns.........

7、.....................243.4Steadystatesandtheirstability..........................283.5Unitsandnon-dimensionalization.........................323.6Existenceanduniquenessofsolutions......................353.7Epilogue.......................................364Competingforresou

8、rces374.1Intraspecificcompetition..............................38iFromtheLibraryofGirro@qq