?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=PEMODELAN+DAN+SIMULASI+NUMERIK+PENYEBARAN+PENYAKIT%0D%0AINFLUENZA+DENGAN+KONTROL+VAKSINASI&rft.creator=CAROLINE+ALAM%2C++1417031033&rft.subject=QA+Mathematics&rft.description=Penyebaran+penyakit+influenza+dapat+dipelajari+dengan+pemodelan+matematika.%0D%0AModel+tersebut+dikenal+sebagai+model+epidemik+Susceptible-Infected-Recovered%0D%0A(SIR).+Model+SIR+memperhatikan+tentang+faktor+kelahiran+dan+kematian.+Sebagai%0D%0Aupaya+pencegahan+penyebaran+penyakit+influenza%2C+faktor+vaksinasi+akan%0D%0Aditambahkan+ke+dalam+model+tersebut.+Hasilnya%2C+model+tersebut+mempunyai+dua%0D%0Atitik+kesetimbangan+yaitu+titik+kesetimbangan+bebas+penyakit+dan+titik%0D%0Akesetimbangan+epidemik.+Analisis+kualitatif+menghasilkan+parameter+rasio%0D%0Areproduksi+vaksinasi%0D%0Adan+tingkat+vaksinasi+minimum+yang%0D%0Adibutuhkan+untuk+mencegah+penyebaran+penyakit+influenza%0D%0A.+Hasil%0D%0Agrafis+disajikan+dan+dibahas+secara+kualitatif+untuk+mengilustrasikan+solusi%0D%0Adengan+menggunakan+Metode+Runge-Kutta.+Pada+kasus+tersebut%2C+diperoleh+titik%0D%0Akesetimbangan+yang+bersifat+stabil+asimtotis+dan+tingkat+minimum+vaksinasi+yang%0D%0Adibutuhkan+untuk+mencegah+penyebaran+penyakit+influenza+adalah+.%0D%0ASemakin+sedikit+tingkat+vaksinasi+yang+diberikan%2C+maka+semakin+banyak+proporsi%0D%0Aindividu+terinfeksi+yang+ada+di+populasi%2C+sehingga+penyakit+tidak+menghilang+dari%0D%0Apopulasi.+Sebaliknya%2C+semakin+besar+tingkat+vaksinasi+yang+diberikan%2C+maka%0D%0Asemakin+sedikit+proporsi+individu+terinfeksi+yang+ada+di+populasi+dan+semakin%0D%0Acepat+waktu+yang+dibutuhkan+untuk+menghilangkan+penyakit.%0D%0AKata+Kunci+%3A+pemodelan+matematika%2C+vaksinasi%2C+kestabilan%2C+penyebaran+penyakit%0D%0Ainfluenza%2C+model+SIR.%0D%0A%0D%0Aabstract%0D%0A%0D%0AThe+spread+of+influenza+disease+can+be+studied+using+mathematical+model.+The%0D%0Amodel+is+well+known+as+Susceptible-Infected-Recovered+(SIR)+epidemic+model.%0D%0AThe+SIR+model+concerned+about+birth+and+death+factor.+In+order+to+prevent+and%0D%0Acontrol+the+spread+of+influenza+disease%2C+the+vaccination+factor+will+be+added+into%0D%0Athe+model.+As+the+results%2C+the+model+has+two+equilibrium+points%2C+disease+free+and%0D%0Aepidemic+equilibrium.+The+qualitative+analysis+reveals+the+vaccination%0D%0Areproductive+number%0D%0Aand+the+minimum+level+of+the+vaccination%0D%0Aneeded+to+prevent+the+spread+of+influenza+disease%0D%0A.+Graphical+result%0D%0Aare+presented+and+discussed+qualitatively+to+illustrate+the+solution+using+Runge-%0D%0AKutta+Method.+As+the+results%2C+the+equilibrium+point+is+asymptotically+stable+and%0D%0Athe+minimum+level+of+the+vaccination+needed+to+prevent+the+spread+of+influenza%0D%0Adisease+successfully+is+.+The+less+the+level+of+the+vaccination+given%2C%0D%0Athe+more+the+proportion+of+infected+individuals+present+in+the+population%2C+so+the%0D%0Adisease+has+not+disappeared+from+the+population.+Otherwise%2C+the+more+the+level+of%0D%0Athe+vaccination+given%2C+the+less+the+proportion+of+infected+individuals+present+in+the%0D%0Apopulation+and+the+faster+the+time+needed+to+make+the+disease+dies+out.%0D%0AKey+Words+%3A+mathematical+model%2C+vaccination%2C+stability%2C+spread+of+influenza%0D%0Adisease%2C+SIR+model.&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAAHUAN+ALAM&rft.date=2017-10-17&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F28867%2F1%2FABSTRAK%2520%2528%2520ABSTRACT%2520%2529.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F28867%2F2%2FSKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F28867%2F3%2FSKRIPSI%2520FULL.pdf&rft.identifier=++CAROLINE+ALAM%2C+1417031033++(2017)+PEMODELAN+DAN+SIMULASI+NUMERIK+PENYEBARAN+PENYAKIT+INFLUENZA+DENGAN+KONTROL+VAKSINASI.++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAAHUAN+ALAM%2C++UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F28867%2F