?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=MODEL+SIQR+DENGAN+KARANTINA+DAN+VAKSINASI%0D%0A%0D%0APADA+PENYAKIT+DIFTERI%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A&rft.creator=SAYYIDAH+ANNISA+FITRI%2C+1757031009&rft.subject=500+ilmu+pengetahuan+alam+dan+matematika&rft.description=Diphteria+is+a+bacterial+infection+that+attacks+the+upper+respatory+and+throat%0D%0Asystems+caused+by+Corynebacterium+diphtheria.+Because+diphteria+is+a%0D%0Apotentially+contagious+and+dangerous+disease%2C+it+is+important+to+use+mathematical%0D%0Amodelling+to+try+to+suppress+its+development.+The+modelling+referred+to+is+the%0D%0ASIQR+model+in+which+there+are+four+compartments+in+the+model%2C+namely+the%0D%0ASusceptible%2C+Infected%2C+Quarantined%2C+and+Recovered+compartment+which+will+form%0D%0Aa+non+linier+differential+equation+system%2C+then+simplified+by+transforming+models%2C%0D%0Adetermining+the+equilibrium+points+and+basic+reproduction+number+(R0%0D%0A)%2C%0D%0Aanalyzing+the+stability+of+the+equilibrium+point%2C+and+then+doing+a+model%0D%0Asimulation.%0D%0ATo+determine+basic+reproduction+number+(R0%0D%0A%0D%0A)%2C+the+rate+in+the+infected%0D%0Acompartment+greatly+influences+the+stability+of+the+equilibrium+point.+Because%0D%0Awhen+R0+%3C+1+the+stability+of+the+disease+free+equilibrium+point+is+stable%0D%0Aasymptotic+local%2C+whereas+if+R0+%3E+1+then+the+stability+of+the+endemic+equilibrium%0D%0Apoint+is+stable+asymptotic+local.+The+role+of+vaccination+is+no+less+important+in%0D%0Athe+model%2C+because+the+greater+the+vaccination+rate+given%2C+the+faster+the+diphteria%0D%0Adisease+disappears+from+the+population.+Likewise+with+quarantine%2C+each+infected%0D%0Aindividual+must+be+quarantined+in+order+for+the+disease+to+spread.%0D%0AKeywords+%3A+diphteria%2C+SIQR+model%2C+equilibrium+point%2C+vaccination%2C+quarantine.%0D%0ADifteri+adalah+penyakit+infeksi+bakteri+yang+menyerang+sistem+pernapasan+atas%2C%0D%0Adan+tenggorokan+yang+disebabkan+oleh+bakteri+Corynebacterium+diphtheria.%0D%0AKarena+penyakit+difteri+termasuk+penyakit+yang+dapat+menular+dan+juga%0D%0Aberbahaya%2C+maka+penting+menggunakan+pemodelan+matematika+untuk+mencoba%0D%0Amenekan+perkembangannya.+Pemodelan+yang+dimaksud+adalah+model+SIQR%0D%0Adimana+terdapat+empat+kompartemen+dalam+model%2C+yaitu+kompartemen%0D%0ASusceptible%2C+Infected%2C+Quarantined%2C+dan+Recovered+yang+akan+membentuk+sistem%0D%0Apersamaan+non+linier%2C+kemudian+disederhanakan+dengan+transformasi+model%2C%0D%0Amenentukan+titik+ekuilibrium+dan+bilangan+reproduksi+dasar+(R0%0D%0A%0D%0A)%2C+menganalisis%0D%0A%0D%0Akestabilan+titik+ekuilibrium%2C+kemudian+melakukan+simulasi+model.%0D%0AUntuk+menentukan+bilangan+reproduksi+dasar+(R0%0D%0A%0D%0A)%2C+laju+pada+kompartemen%0D%0AInfected+sangat+mempengaruhi+kestabilan+titik+ekuilibriumnya.+Karena+ketika%0D%0AR0+%3C+1+maka+kestabilan+titik+ekuilibrium+bebas+penyakit+stabil+asimtotik+lokal%2C%0D%0Asedangkan+jika+R0+%3E+1+maka+kestabilan+titik+ekuilibrium+endemik+penyakit+stabil%0D%0Aasimtotik+lokal.+Peran+vaksinasi+juga+tidak+kalah+penting+dalam+model%2C+karena%0D%0Asemakin+besar+tingkat+vaksinasi+yang+diberikan+maka+semakin+cepat+pula%0D%0Apenyakit+difeteri+menghilang+dari+populasi.+Begitu+pula+dengan+karantina%2C+setiap%0D%0Aindividu+yang+terinfeksi+harus+dikarantina+agar+penyakit+tidak+dapat+menyebar.%0D%0AKata+Kunci%3A+difteri%2C+model+SIQR%2C+titik+ekuilibrium%2C+vaksinasi%2C+karantina.&rft.publisher=FAKULTAS+MATEMATIKA+ILMU+PENGETAHUAN+ALAM&rft.date=2021&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F61698%2F1%2F1.%2520ABSTRAK-ABSTRACT%2520-%2520SAYYIDAHA%2520ANNISA.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F61698%2F2%2F2.%2520SKRIPSI%2520FULL%2520-%2520SAYYIDAH%2520ANNISA.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F61698%2F3%2F3.%2520SKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN%2520-%2520SY.pdf&rft.identifier=++SAYYIDAH+ANNISA+FITRI%2C+1757031009++(2021)+MODEL+SIQR+DENGAN+KARANTINA+DAN+VAKSINASI+PADA+PENYAKIT+DIFTERI.++FAKULTAS+MATEMATIKA+ILMU+PENGETAHUAN+ALAM%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F61698%2F