Judul: Pengembangan Model Penyebaran Pengguna Narkoba White-Comiskey
Abstrak: This thesis aims to discuss and analyze mathematical models of the spread of drug users based on the model of White and Comiskey (2007). In this model, population is divided into three classes, namely susceptibles, drug users, and drug users undergoing treatment. The model has three equilibrium points, i.e. one drug free and two endemic points. The stability of those points are determined according to the eigenvalues of the Jacobian matrices. The existence of the drug users are then controlled by a basic reproduction number. If the basic reproduction number is less than one, then the number of drug users will gradually decrease and disappear from the population. On the other hand, if the basic reproduction number is greater than one, then the number of drug users will gradually increase so that a number of drug users will stay in the population. In this thesis, the dynamical analysis of interaction between drug users and susceptible and the simulation was performed by varying the probability of becoming a drug user (β1) and the portion of drug users who enter treatment (ρ). In the former case, decreasing of β1 can be undertaken by government through law enforcement, no-drug campaign, etc. While in the later case, increasing of ρ can be done by improving government, family, and society initiative for saving drug users.
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Judul: Alokasi Optimal Usaha Pengendalian Narkoba : Analisis Differential Game
Abstrak: Suatu permasalahan penyalahgunaan narkoba yang melibalkan konflik antara pengedar dan pemerintah diformulasikan dalarn permainan diferensial (difforential game) dengan para pemainnya tiap saat harus mengarnbil keputusan (continously in time) dengan menggunakan model kontrol optimum (Parthasarathy dan Raghavan, 1971) dan variabel kontrol kedua pemain adalah II dan v. Dalarn hal ini II adalall tingkat usaha pengedar (untuk mendapatkan pemakai baru). Sedangkan v adalah tingkat usaha pemerintah melakukan pemberantasan penyalahgunaan narkoba (melalui terapi pengobatan bagi korban narkoba dan tindakan hukum terhadap pengedar). Untuk mempermudah model permainan akan digunakan spesifikasi permasalahan yang memenuhi asumsi-asumsi permasalahan. Model permasalallan diferensial torsebut akan diselesaikan dengan menerapkan solusi keseimbanganjeedback Nash yang memenuhi persarnaan Hamilton-Jacobi-Behnan.
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Judul: Deteksi Imunoglobulin Y Pada Telur Asin Anti Diare Dan Flu Burung Dengan Metode Agar Gel Precipitation Test (AGPT) Dan Hemagglutination Inhibition Test (Hi Test)
Abstrak: This study was conducted to detect specific IgY (anti Enteropathogenic Escherichia coli (EPEC), anti Salmonella Enteritidis, and anti Avian Influenza Virus H5N1) in salted egg. The laying hens were vaccinated with EPEC and Salmonella Enteritidis inactive-vaccine and AI H5N1 vaccine (IPB-Shigeta). Nine eggs were salted by NaCl solution (1:2). The eggs were salted by three times of long-term salting (10 days, 15 days, and 20 days). The IgY was detected using AGPT and haemagglutination inhibition (HI) test. The AGPT result showed that specific IgY of EPEC and Salmonella Enteritidis detected at 10 days and 15 days long-term salting. The mean titer of anti AI-IgY (over 24) was detected using by HI at all long-term salting. In conclusion, salted egg yolk still have specific IgY which is potential for production functional salted egg.
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