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AdvancesinAppliedMathematicsA^êÆ?Ð,2022,11(5),2500-2506
PublishedOnlineMay2022inHans.http://www.hanspub.org/journal/aam
https://doi.org/10.12677/aam.2022.115264
äk~êݘÇ -Ó .
½5©Û
ÆÆÆZZZ
ìÀà’ŒÆ&E‰Æ†ó§Æ§ìÀS
ÂvFϵ2022c411F¶¹^Fϵ2022c56F¶uÙFϵ2022c517F
Á‡
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©^‡§¿^Dulac¼êÑÃ4•‚(Ø"ÏLE‚•¸.‚‰Ñ4•‚•3^‡"•
^êŠ[y(Ø(5"
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QualitativeAnalysisofa
Prey-PredatorModelwith
aConstantInvestmentRate
ofPreySpecies
XueleiWang
CollegeofInformationScienceandEngineering,ShandongAgriculturalUniversity,Tai’an
Shandong
Received:Apr.11
th
,2022;accepted:May6
th
,2022;published:May17
th
,2022
©ÙÚ^:ÆZ. äk~êݘÇ -Ó .½5©Û[J].A^êÆ?Ð,2022,11(5):2500-2506.
DOI:10.12677/aam.2022.115264
ÆZ
Abstract
Inthispaper,thequalitativepropertiesofthepredator-preymodelwithconstant
investmentratearestudied.Thesufficientconditionsforthestabilityofequilibrium
pointsareobtainedbylinearizationmethod;andtheconclusionfornolimitcycle
isprovedbyDulacfunction;byconstructingboundarylines,theconditionforthe
existenceofalimitcycleisgained.Finally,numericalsimulationisusedtoverifythe
correctnessoftheconclusion.
Keywords
EquilibriumPoint,Existence,Uniqueness,LimitCycle
Copyright
c
2022byauthor(s)andHansPublishersInc.
This work is licensed undertheCreative Commons Attribution InternationalLicense(CCBY4.0).
http://creativecommons.org/licenses/by/4.0/
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DOI:10.12677/aam.2022.1152642501A^êÆ?Ð
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DOI:10.12677/aam.2022.1152642502A^êÆ?Ð
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DOI:10.12677/aam.2022.1152642503A^êÆ?Ð
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DOI:10.12677/aam.2022.1152642504A^êÆ?Ð
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[1]º§u,•=š. «+äk~êݘÇÓ - .©|¯K[J].êÆ,“,1994(4):
541-548.
[2]oDJ, æè. ˜aÓ ökݘÇXÚ½5©Û[J]. ÜSÏŒÆÆ, 1995(8):117-122.
[3]˜ï. äk~êݘÇHolling-IVaÓ XÚ½5©Û[J].ò>ŒÆÆ(g,‰Æ
‡),2018,44(3):213-216+228.
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DOI:10.12677/aam.2022.1152642506A^êÆ?Ð

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