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: | 11 Aug 2022 01:58 |
| URI: | http://repository.ub.ac.id/id/eprint/183678 |
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