?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=PEMODELAN+MATEMATIKA+DAN+ANALISIS+KESTABILAN+PADA+PENYEBARAN+PENYAKIT+TYPHUS+DENGAN+KONTROL+ANTIBIOTIK&rft.creator=Dwi+Wahyu+Lestari%2C+1517031108&rft.subject=QA+Mathematics&rft.description=This+study+discusses+the+analysis+of+mathematical+models+the+spread+of+typhus+with%0D%0Athe+influence+of+antibiotics.+In+this+study%2C+a+differential+equation+system+model+with%0D%0Athe+Suspectible+Infected+Recovered+(SIR)+model+was+used+to+describe+the%0D%0Acharacteristics+of+typhus+disease+models+and+describe+the+mathematical+model+for%0D%0Athe+spread+of+SIR+typhus+by+paying+attention+to+antibiotics%2C+using+prescribed%0D%0Aassumptions.+The+equilibrium+point+on+the+model+of+the+spread+of+typhus+with%0D%0Aantibiotic+control+is+also+determined.+Then+an+analysis+of+the+stability+of+equilibrium%0D%0Apoints+and+numerical+simulations+using+the+Runge-Kutta+method+can+be+seen+in+the%0D%0Asystem+behavior+of+the+spread+of+typhus+and+simulation+results+can+be+interpreted.%0D%0AKey+words%3A+Differential+Equation+System%2C+Typhus%2C+SIR+Model.%0D%0A%0D%0A%0D%0APenelitian+ini+membahas+analisis+model+matematika+penyebaran+penyakit+typhus+dengan+pengaruh+antibiotik.+Pada+penelitian+ini+digunakan+model+sistem+persamaan+diferensial+dengan+peubah+Suspectible+Infected+Recovered+(SIR)+yang+digunakan+untuk+menggambarkan+karakteristik+model+penyakit+typhus+dan+menjabarkan+model+matematika+untuk+penyebaran+penyakit+typhus+SIR+dengan+memperhatikan+adanya+antibiotik%2C+dengan+menggunakan+asumsi-asumsi+yang+ditentukan.+Titik+kesetimbangan+pada+model+penyebaran+penyakit+typhus+dengan+kontrol+antibiotik+juga+ditentukan.+Lalu+dilakukan+analisis+kestabilan+titik+kesetimbangan+dan+simulasi+numerik+dengan+metode+Runge-Kutta+untuk+dapat+dilihat+perilaku+sistem+penyebaran+penyakit+typhus+dan+hasil+simulasi+dapat+diintrepretasi.+Kata+Kunci+%3A+Sistem+Persamaan+Diferensial%2C+Typhus%2C+Model+SIR.&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM&rft.date=2019-03-12&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F54861%2F1%2FABSTRAK.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F54861%2F2%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F54861%2F3%2FSKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=++Dwi+Wahyu+Lestari%2C+1517031108++(2019)+PEMODELAN+MATEMATIKA+DAN+ANALISIS+KESTABILAN+PADA+PENYEBARAN+PENYAKIT+TYPHUS+DENGAN+KONTROL+ANTIBIOTIK.++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F54861%2F