Model Transmisihamaulat(Spodoptera Exigua) Danbercakungu Di Tanamanbawangmerahlembahpalu

Lestari, Arlen Dwi (2020) Model Transmisihamaulat(Spodoptera Exigua) Danbercakungu Di Tanamanbawangmerahlembahpalu. Magister thesis, Universitas Brawijaya.

Abstract

Dalam tesisinidibahastentangmodeltransmisihamaulat(Spodopteraexigua) dan bercakunguditanamanbawangmerahLembahPalu.Analisisdinamikyang dilakukan dalamtesisiniyaitupenentuantitikkesetimbangan,keeksistensiantiap titik kesetimbanganyangdiperolehdankestabilanlokaltitikkesetimbangan. Berdasarkanhasilanalisisdiperolehlimatitikkesetimbangan,yaitutitik kesetimbangantrivial,titikkesetimbanganbebashamaulatdanbercakungu,titik kesetimbanganbebashamaulat,titikkesetimbanganbebasbercakungu,titik kesetimbanganco-eksistensi.Titikkesetimbangantrivialdantitikkesetimbangan bebas hamaulatdanbercakunguselalueksis,namuntitikkesetimbanganbebas hama ulat,titikkesetimbanganbebasbercakungu,titikkesetimbangan co-eksistensi eksisdengansyarattertentu.Titikkesetimbangantrivialbersifat tidak stabil,titikkesetimbanganbebashamaulatdanbercakungu,titik kesetimbanganbebashamaulat,titikkesetimbanganbebasbercakungubersifat stabil dengansyarattertentudantitikkesetimbanganco-eksistensistabiljika memenuhikondisikriteriaRouth-Hurwitz.Simulasinumerikyangdiperoleh menunjukkankesesuaiandenganhasilanalisisyangdilakukan.

English Abstract

This thesisdiscussesthetransmissionmodelofcaterpillarpest(Spodoptera exigua)andpurpleblotchtransmissioninLembahPaluredonionplants.Dynamic analysis carriedoutinthisthesisisthedeterminationoftheequilibriumpoint,the existenceofeachequilibriumpointobtainedandthelocalstabilityofthe equilibriumpoint.Basedonanalysisresults,itisobtainedfiveequilibriumpoints, namely thetrivialequilibriumpoint,theequilibriumpointsofextinctionofcaterpillar pests andpurpleblotch,theequilibriumpointofnoonionwithpurpleblotch,the equilibriumpointofnocaterpillarpestandtheco-existenceequilibriumpoint. Trivialequilibriumpointandthecriticalpointofextinctionofcaterpillarpestsand purpleblotchalwaysexist,buttheequilibriumpointofnoonionwithpurpleblotch, the equilibriumpointofnocaterpillarpestandtheco-existenceequilibriumpoint existwithconditions.Thetrivialequilibriumpointisunstable,theequilibriumpoints of extinctionofcaterpillarpestsandpurpleblotch,theequilibriumpointofnoonion with purpleblotch,theequilibriumpointofnocaterpillarpestarestablewith certainconditionsandtheequilibriumpointofco-existenceisstableifitmeetsthe requirements oftheRouth-Hurwitzcriteria.Numericalsimulationsobtainedshow conformitywiththeresultsoftheanalysisconducted.

Other obstract

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Item Type: Thesis (Magister)
Identification Number: 0420090007
Subjects: 500 Natural sciences and mathematics > 518 Numerical analysis
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User: ismanto
Date Deposited: 25 Feb 2021 09:45
Last Modified: 25 Feb 2021 09:45
URI: http://repository.ub.ac.id/id/eprint/183678
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