简介:Inthispaper,weformulateasingle-speciesmodelofcontraceptioncontrolwithwhitenoiseonthedeathrate.Firstly,theuniquenessofglobalpositivesolutionofthemodelisproved.Secondly,uniformlyboundedmeanofsolutionisobtainedbyusingtheLiyapunovfunctionandChebyshevinequality.Lastly,stochasticglobalasymptoticstabilityofzeroequilibriumsisanalyzed.
简介:Binomialno-arbitragepricehaveamethodisthetraditionalapproachforderivativepricing,whichis,thecompletemodel,whichmakespossibletheperfectreplicationinthemarket.Riskneutralpricingisanappropriatemethodofassetpricinginacompletemarket.Wehavediscussedanincompletemarket,anon-transactionassetthatproducesincompletenessofthemarket.Aneffectivemethodofassetpricinginincompletemarketsistheundifferentiatedpricingmethod.ThistechniquewasfirstlyintroducedbyBernoulliin(1738)thesenseofgambling,lotteryandtheirexpectedreturn.Itisusedtocommandinvestors'preferencesandbetterreturnstheresultstheyexpect.Inaddition,wealsodiscusstheutilityfunction,whichisthecoreelementoftheundifferentiatedpricing.Wealsostudiedsomeimportantbehaviorpreferencesofagents,andinjectedexponentialeffectofriskaversioninthemodel,sothatthemodelwasnonlinearintheprocessofclaimsettlement.
简介:Thispaperstudiesonlineschedulingofjobswithkindreleasetimesonasinglemachine.Here“kindreleasetime”meansthatinonlinesetting,nojobscanbereleasedwhenthemachineisbusy.EachjobJhasakindreleasetimer(J)≥0,aprocessingtimep(J)>0andadeadlined(J)>0.Thegoalistodetermineaschedulewhichmaximizestotalprocessingtime(∑p(J)E(J))ortotalnumber(∑E(J))oftheacceptedjobs.Forthefirstobjectivefunction∑p(J)E(J),wefirstpresentalowerbound√2,andthenprovideanonlinealgorithmLEJwithacompetitiveratioof3.Thisisthefirstdeterministicalgorithmfortheproblemwithaconstantcompetitiveratio.Whenp(J)∈{1,k},k>1isarealnumber,wefirstpresentalowerboundminf(1+k)/k,2k/(1+k)g,andthenweshowthatLEJhasacompetitiveratioof1+┌k┐=k.Inparticular,whenalltheklengthjobshavetightdeadlines,wefirstpresentalowerboundmax{4=(2+k),1}(for∑p(J)E(J))and4/3(for∑E(J)).ThenweprovethatLEJis┌k┐/k-competitivefor∑p(J)E(J)andweprovideanonlinealgorithmHwithacompetitiveratioof2┌k┐/(┌k┐+1)forthesecondobjectivefunction∑E(J).
简介:Inthispaper,aLotka-Volterracooperationsystemwithsinglefeedbackcontrolisproposedandstudied.Weinvestigatethelocalstabilityandtheglobalstabilityofthesystem.Ourstudyshowsthatwithsuitablerestrictiononthecoefficientsofthefeedbackcontrolvariable,thesystemcanstillremaingloballystableorbecomeextinct,whichshowsthatthefeedbackcontrolvariableplaysaveryimportantroleinthedynamicsbehaviorsofthesystem.
简介:Bipolarsingle-valuedneutrosophicmodelsarethegeneralizationofbipolarfuzzymodels.Wefirstintroducetheconceptofbipolarsingle-valuedneutrosophiccompetitiongraph-s.Wethen,discusssomeimportantpropositionsrelatedtobipolarsingle-valuedneutrosophiccompetitiongraphs.Wedefinebipolarsingle-valuedneutrosophiceconomiccompetitiongraphsandm-stepbipolarsingle-valuedneutrosophiceconomiccompetitiongraphs.Further,wede-scribeapplicationsofbipolarsingle-valuedneutrosophiccompetitiongraphsinorganizationaldesignationsandbrandscompetition.Finally,wepresentourimprovedmethodsbyalgorithms.
简介:AbstractThetemporaldevelopmentofasinglemodeRayleigh-Taylorinstabilityconsistsofthreestages:thelinear,freefallandterminalvelocityregimes.Thepurposeofthispaperistoreportonnewphenomenaobservedintheapproachtoterminalvelocity.Ournumericalstudyshowsanunexpectednonuniformapproachtoterminalvelocity.Thenonuniformityappliesespeciallytothespikes,whicharefingersofheavyfluidfallingintothelightfluid,butitalsoappliestotherisingbubblesoflightfluid.ForspikesespeciallyourresultscallintoquestionthemeaningfulnessofaterminalvelocityformoderatevaluesoftheAtwoodnumberA.Afterashorttimeperiodofpseudo-terminalplateau,thespikevelocityincreasestoasignificantlyhighermaximum,followedbyadecrease.Thisphenomenaappearstobeduetoaslowevolutionintheshapeofthespikeandbubble.Wefindarelationbetweenthespike(bubble)accelerationandthetipcurvature.Incorrelationwithanincreaseinthespikevelocity,th
简介:Inthisarticle,apartiallylinearsingle-indexmodelforlongitudinaldataisinvestigated.Thegeneralizedpenalizedsplineleastsquaresestimatesoftheunknownparametersaresuggested.Allparameterscanbeestimatedsimultaneouslybytheproposedmethodwhilethefeatureoflongitudinaldataisconsidered.Theexistence,strongconsistencyandasymptoticnormalityoftheestimatorsareprovedundersuitableconditions.Asimulationstudyisconductedtoinvestigatethefinitesampleperformanceoftheproposedmethod.Ourapproachcanalsobeusedtostudythepuresingle-indexmodelforlongitudinaldata.
简介:Thispaperusesthegeometricsingularperturbationtheorytoinvestigatedynamicalbehaviorsandsingularitiesinafundamentalpowersystempresentedinasingle-machineinfinite-busformulation.ThepowersystemcanbeapproximatedbytwosimplifiedsystemsSandF,whichcorrespondrespectivelytoslowandfastsubsystems.Thesingularities,includingHopfbifurcation(HB),saddle-nodebifurcation(SNB)andsingularityinducedbifurcation(SIB),arecharacterized.WeshowthatSNBoccursatPTc=3.4382,SIBatPTO=2.8653andHBatPTh=2.802forthesingularperturbationsystem.ItmeansthatthepowersystemwillcollapsenearSIBwhichprecedesSNBandthatthepowersystemwilloscillatenearHBwhichprecedesSIB.Inotherwords,thepowersystemwillloseitsstabilitybymeansofoscillationneartheHBwhichprecedesSIBandSNBasPTisincreasingtoacriticalvalue.Theboundaryofthestabilityregionofthesystemcanbedescribedapproximatelybyacombinationofboundariesofthestabilityregionsofthefastsubsystemandslowsubsystem.
简介:Westudyamodelforthelong-termbehaviorofasingle-speciespopulationwithsomedegreeofpollutiontoleranceinapollutedenvironment.Themodelconsistsofthreeordinarydifferentialequations:oneforthepopulationdensity,onefortheamountoftoxicantinsidethelivingorganisms,andonefortheamountoftoxicantintheenvironment.Wederivesufficientconditionsforthepersistenceandtheextinctionofthepopulationdependingontheexogenousinputrateofthetoxicantintotheenvironmentandthelevelofpollutiontoleranceoftheorganisms.Numericalsimulationsarecarriedouttoillustrateourmainresults.
简介:WestudythescalinglimitforacatalyticbranchingparticlesystemwhoseparticlesperformrandomwalksonZandcanbranchat0only.Varyingtheinitial(finite)numberofparticles,wegetforthissystemdifferentlimitingdistributions.Tobemorespecific,supposethatinitiallytherearen~βparticlesandconsiderthescaledprocessZ_t~n(●)=Z_(nt)(n~(1/2)●),whereZ_tisthemeasure-valuedprocessrepresentingtheoriginalparticlesystem.WeprovethatZ_t~nconvergesto0whenβ<1/4andtoanondegeneratediscretedistributionwhenβ=1/4.Inaddition,if1/41/2thenn~(-β)Z_t~nconvergestoadeterministiclimit.
简介:Usingrecursivemethod,thispaperstudiesthequeuesizepropertiesatanyepochn+inGeom/G/1(E,SV)queueingmodelwithfeedbackunderLASDA(latearrivalsystemwithdelayedaccess)setup.Somenewresultsabouttherecursiveexpressionsofqueuesizedistributionatdifferentepoch(n+,n,n-)areobtained.Furthermoretheimportantrelationsbetweenstationaryqueuesizedistributionatdifferentepochsarediscovered.TheresultsaredifferentfromtherelationsgiveninM/G/1queueingsystem.Themodeldiscussedinthispapercanbewidelyappliedinmanykindsofcommunicationsandcomputernetwork.