Chemostat中帶有變消耗率的單食物鏈模型的定性分析.pdf

1、大連海事大學(xué)碩士學(xué)位論文Chemostat中帶有變消耗率的單食物鏈模型的定性分析姓名：孫鯤申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：劉婧20080301英文摘要QualitativeAnalysisforaSimpleFoodChainModelwithVariableYieldintheChemostatAbstractChemostatisakindofindustrialreactor；itiSnotonlyusedinthech

2、emicalengineeringbutalsousedinmicrobialcontinuousculture，wastetreatmentbiologypharmacyandfoodprocessingetcChemostatisawallcontrolledandwellobservedapparatus；theexpectedgoalswillbegotbycontrollingsomemicroorganisms’concen

3、trationoradjustingsomeparametersinthesystemsoitisverynecessarytesearchChemostatDependingonmathematicalmethodstOmodel，analyze，control，andoptimizeChemostatsystemwhichhaveveryimportantsignificanceinthedesigningandtheapplica

4、tionofChemostatWhenthemathematicalmodelofcontinuouscultivationformicroorganismsisdiscussed，theconsumingratesformicroorganismsareusuallyassumedtobeconstantsButitisnotrationalTheconsumingratesformicroorganismsshouldbeconce

5、rnedwi廿lthenutrientdensityThegreaterthenutrientdensityis，thelowertheconsumingrateofpreysimilarlythegreaterthepreydensityis，thelowertheconsumingrateofpredatorSotheconsumingrateisanondecreasingfunctionofthenutrientdensityT

6、histhesismainlyinvestigatesthesimplefoodchainmodelswinlvariableconsumingratesinChemostatInchapterone，thehistoricbackgroundandcurrentsituationofChemostatmodela陀introducedInchaptertwo，thesimplefoodchainmodelthattheconsumin

7、grateparametersarealllinearfunctionsisconsideredInchapterthree，thesimplefoodchainthattheconsumingrateparameterofpreytOnutrientisaquadraticfunctionandtheconsumingrateparameterofpredatortOpreyisalinearfunctionisconsideredI

8、nchapterfourthesimplefoodchainmodelthattheyieldsareallquadraticfunctionsisconsideredBythequalitativetheoremofordinarydifferentialequationstheexistenceandthelocalstabilityoftheequilibriumsolutionsareanalyzedTheglobalstabi