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Cholerny Spammer
Joined: 03 Mar 2011
Posts: 729
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Location: England
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 Posted: Thu 8:40, 31 Mar 2011 Post subject: Impulsive non- autonomous predator - prey _3778 po |
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Impulsive non- autonomous predator - prey of positive periodic solution
DACKAC. Stabilityregionsinpredator-. preysystemswithconstant - ratepreyharvesting [J]. JMathBiol ,1979,8:55-71. [3] LAKSMIKANTHAMV, BAINOVDD, SIMEONOVPS. TheoryofImpulsiveDifferentialEquationsi-M]. Singapore: WorldScientific, 1989. [4] PANETTAJC. Amathematicalmodelofperiodicallypulsedchemotherapy: tumorrecurrenceandmetastasisinacompetitionenvironment [J]. BullofMathBioI. 1996,58:425-447 . [5] BAINOVDD, SIMEONOVPS. Impulsivedifferentialequations: periodicsolutionsandapplications [A]. PitmanMonographsandSurveysinPureandAppliedMathematics [M]. NewYork: Wiley, 1993. [6] TANGSan-yi, CHENLan-sun. Theperiodicpredator-· preyLotka - Voherramodelwithimpulsiveeffect [j]. JMechinMedandBiol, 2002,2 (3) :267-296. [7] GAINESRE, MAWHINJL. CoincidenceDegreeandNonlinearDifferentialEquationsi-M]. Berlin: Springer, 1977. Positiveperiodicsolutionsofnonautonomouspredat0r-preysystemwithimpulsiveeffectZHANGShu-wen. . . . CHENLan-sun. (1.Dept.ofApp1.Math .. DalianUniv.ofTechno1., Dalian116024, China; 2.Inst.ofBiomath.. AnshanNOrm.Univ., Anshan114005, China; 3.Inst.ofMath .. Chin.Acad.ofSci., Belling100080 ,[link widoczny dla zalogowanych], China) Abstract: Thedynamicalbehaviourofnonautonomouspredator-preysystemwithimpulsiveeffectisdiscussed. Theboundednessofsystemisprovedbythecomparativethemeofimpulsivedifferentialequation, andthelocalstabilityoftrivialorsemi-trivialpositiveperiodicsolution (preyannihilationperiodicsolution) istested. Theexistenceofthestrictlypositivesolutionofthesystemisprovedbyusingcoincidencedegree. Keywords: impulsiveeffect; positiveperiodicsolution; predator-preysystem; coincidencedegree
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