?url_ver=Z39.88-2004&rft_id=1417031085&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=ANALISIS+KESTABILAN+MODEL+PENYEBARAN+PENYAKIT+MALARIA+DENGAN+MASA+INKUBASI+PANJANG+DAN+MASA+INKUBASI+PENDEK&rft.creator=NI+WAYAN+FITRI+HANDYANI%2C+1417031085&rft.subject=QA+Mathematics&rft.subject=QC+Physics&rft.description=Malaria+adalah+penyakit+yang+disebabkan+oleh+protozoa+dari+genus++Plasmodium+yang+berada+di+dalam+sel+darah+merah+atau+sel+hati+dan+ditularkan+dari+orang+ke+orang+melalui+gigitan+nyamuk++Anopheles+betina.+Penyebaran+penyakit+malaria+dapat+dimodelkan+dengan+ODE+dan+DDE.+Dimana%2C+variabel-variabel+yang+digunakan+adalah+s_H%2Ce_H%5Es%2Ce_H%5El%2Ci_H%2Cr_H%2Cs_M++dan+i_M.+Pada+penelitian+ini+dikaji+mengenai+titik+equilibrium%2C+kestabilan+titik+equilibrium+melalui+angka+reproduksi+dasar+(R_0+atau+R_d)+untuk+masaing-masing+model+ODE+dan+DDE.+Dengan+menggunakan+data+yang+ada+(+kota+Bandar+Lampung)+dilakukan+simulasi+dibawah+asumsi+tertentu+untuk+melihat+profil+dinamik+dari+masing-masing+variabel.+Dari+hasil+penelitian+diketahui+bahwa%2C+keadaan+bebas+penyakit+stabil+asimtotik+lokal+jika+nilai+R_0%3C1+dan+R_d%3C1+dan+tidak+stabil+jika+R_0%3E1+dan+R_d%3E1.+Keadaan+endemik+penyakit+stabil+asimtotik+lokal+dan+selalu+ada+jika+nilai+R_0%3E1+dan+R_d%3E1.+Dari+hasil+pengujian+secara+numerik+diperoleh+bahwa+perubahan+nilai+bebrerapa+parameter+mempengaruhi+peningkatan+laju+manusia+terinfeksi+sehingga+mengakibatakan+perubahan+laju+kestabilan.+Artinya+adanya+perubahan+nilai+parameter+terkait+akan+mempengaruhi+kecepatan+kestabilan+pada+keadaan+endemik+penyakit%0D%0A%0D%0AKata+kunci%3A+Malaria%2C+ODE%2C+DDE%2C+Titik+Equilibrium%2C+dan+Angka+Reproduksi+Dasar.%0D%0A%0D%0A%0D%0AMalaria+is+a+mosquito-borne+infectious+disease+caused+by+protozoan+parasites+of+the+genus+Plasmodium%2C+while+feeding+on+humans%2C+infected+Anopheles+female+mosquitoes+inject+parasite+into+the+bloodstream%2C+wich+infect+liver+cells.+The+transmission+of+malaria+can+be+modelled+by+ODE+and+DDE.+Where%2C+the+variables+used+are+s_H%2Ce_H%5Es%2Ce_H%5El%2Ci_H%2Cr_H%2Cs_M++and+i_M.+In+this+research+we+review+about+equilibrium+points%2C+the+stability+its+through+the+basic+reproduction+number+(R_0+or+R_d)+for+each+model+ODE+and+DDE.Using+available+data+(Bandar+Lampung+city)%2C+we+simulate+with+assumptions+the+dynamic+profile+of+each+variable.+The+result+show%2C+the+disease+free+equilibrium+of+system+is+locally+asymstotically+stable+if++R_0%3C1+and+R_d%3C1+and+unstable+if+R_0%3E1+and+R_d%3E1.+The+endemic+equilibrium+is+locally+asymptotically+stable+whenever+exists%2C+i.e.+if+R_0%3E1+and+R_d%3E1.+From+the+results+of+numerical+testing+obtained+that+changes+in+the+value+of+several+parameters+affect+the+increase+of+infected+human+rate%2C+resulting+in+changes+in+the+rate+of+stability.+This+means+that+any+changes+in+the+value+of+related+parameters+will+affect+the+speed+of+stability+in+the+state+of+endemic+equilibrium.%0D%0A%0D%0AKeyword+%3A+Malaria%2C+ODE%2C+DDE%2C+Equilibrium+Point+and+Basic+Reproduction+Number.%0D%0A&rft.publisher=Fakultas+Matematika+dan+Ilmu+Pengetahuan+Alam&rft.date=2018-04-19&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F31745%2F1%2FABSTRAK.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F31745%2F9%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F31745%2F10%2FSKRIPSI%2520FULL%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=++NI+WAYAN+FITRI+HANDYANI%2C+1417031085++(2018)+ANALISIS+KESTABILAN+MODEL+PENYEBARAN+PENYAKIT+MALARIA+DENGAN+MASA+INKUBASI+PANJANG+DAN+MASA+INKUBASI+PENDEK.++Fakultas+Matematika+dan+Ilmu+Pengetahuan+Alam%2C+Universitas+Lampung.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F31745%2F