29542.最大值原理在單種群捕獲模型中的應(yīng)用

1、蘭州大學(xué)碩士學(xué)位論文最大值原理在單種群捕獲模型中的應(yīng)用姓名：李偉鵬申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：數(shù)學(xué)應(yīng)用數(shù)學(xué)指導(dǎo)教師：李維德20091201英文摘要AbstractHowtodevelopthelimitedrenewableresourcesandachievesustainabledevelopmenthasbecomeacentralproblemineconomicalandecologicalresearch，aswellasoth

2、eracademicstudyAtpresent，theoptimalharvestingstrategyforbiologicalresourcesofsinglepopulationisusuallydiscussedbythestabilityofDifferentialEquationtheoryAndthisproblemcanalsobesolvedbyusingthetheoryofoptimalcOntr01Thehar

3、vestingmodelofsinglepopulationisdiscussedinthispaperbyapplyingthePontryagin’Smaximumprinciple。TherearefewarticleswhichdiscusstheoptimalharvestingstrategyofsinglepopulationbyusingthePontryagin’smaximumprincipleAndtheyarea

4、boutfixedpricesThisisnotinaccordancewiththerealworldInactualproductionprocess，theamountoftheharvestingisnotonlyaffectedbytheeffortmadeintheharvestingbutalsoaffcctedbythedensityofthepopulationThediscountrateisintroducedin

5、theharvestingmodelofsinglepopulationinthispaperThepriceandthecostdependonthedensityofthepopulationTheamountoftheharvestingrelyontheharvestingrateandthedensityofthepopulationFirst，wegaintheoptimalharvestingstrategybasedon

6、thezerocostharvestingmodelbyapplyingthePontryagin’SmaximumprincipleNextweinvestigatetheoptimalcontrolstrategyofthenonzerocostharvestingmodel，themodelwithfixedendconditionandopen—accessharvestingmodelrespectively，andtheco

7、rrespondingresultsareobtainedTheresultsprovideatheoreticalbasisforbiodiversityconservationandsustainabledevelopmentKeyWords：Thesingleharvestingpopulationmodel；Optimalharvesting；Pontryagin’SMaximumPrinciple；Adjointvariabl