Judul: Pengaruh vaksinasi pada model penyebaran penyakit SVIS dan SVIR
Abstrak: Pada karya ilmiah ini dibahas dua model penyebaran penyakit, yaitu model SVIS (Susceptible Vaccinated Infected Susceptible) dan SVIR (Susceptible Vaccinated Infected Recovered) yang disusun oleh Eunha Shim (2006). Kedua model ini menjelaskan gambaran umum tentang proses penularan penyakit epidemik dan analisis dari dinamika populasi serta analisis kestabilan titik tetap yang muncul. Berdasarkan hasil simulasi, dinamika model SVIS untuk kasus tingkat vaksinasi di bawah batas tingkat vaksinasi, jumlah populasi yang terinfeksi penyakit terus meningkat menuju suatu nilai tertentu. Sedangkan pada model SVIR jumlah populasi yang terinfeksi penyakit terus menurun hingga populasinya hampir mendekati nol. Hal ini dikarenakan pada model SVIR ada populasi yang sembuh setelah pemberian vaksin sedangkan pada model SVIS individu yang telah sembuh kembali menjadi rentan terhadap penyakit. Sedangkan pada kasus tingkat vaksinasi di atas batas tingkat vaksinasi, pada model SVIS maupun model SVIR, jumlah populasi yang terinfeksi menurun bahkan hampir mendekati nol. Dalam tulisan ini ditunjukkan bahwa pemilihan tingkat vaksinasi sangat berpengaruh pada jumlah populasi yang terinfeksi penyakit. Kata kunci :
Keyword: model SVIS, model SVIR, tingkat vaksinasi

Judul: Pengaruh vaksinasi terhadap dinamika populasi pada model SIR (Susceptible-Infected-Recovered)
Abstrak: SIR model can be used to model the spread of diseases in a closed population based on certain assumptions. In this research, the SIR model is formulated by including the factor of vaccination. As the result, the model has been shown to have two equilibrium points, i.e. disease free and endemic equilibrium. A simulation study is carried out to illustrate the model. The results show that some equilibrium points are asymptotically stable. Moreover, a minimum level of vaccination has been defined. For the vaccination level less than the minimum level, increase in the vaccination level results in decrease of the proportion of infected individuals in the corresponding equilibrium point. On the other hand, for the vaccination level greater than the minimum level, increase in the vaccination level results in decrease the proportion of susceptible individuals in the corresponding equilibrium point. Furthermore, when vaccination level is greater than the minimum level, it is found that the time needed for the disease to extinct is shorter.
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Judul: Sifat Pulp Campuran antara Pulp Asli Bambu dan Pulp Karton Bekas (Old Corrugated Containers)
Abstrak: OCC was soaked for 7 days and disintegrated afterward. Soda pulping of bamboo was carried out following the pulping parameters of 35% NaOH charge, L/W of 4/1, maximum temperature of 170 oC and total cooking time of 3 hours. Kappa number and pulping yield were determined based on TAPPI T236 cm-85 standard. Bamboo and OCC pulp was bleached following the method of D0ED1D2. Bleached bamboo pulp was beaten up to the freeness of 100, 200, 300, and 400 ml CSF. While that of OCC was up to 400 ml CSF only. The composisitions of bamboo/OCCpulp mixture (B/K) were 0/100, 20/80, 40/60, 60/40, 80/20 and 100/0. Physical and optical properties of pulp mixture were determined based on TAPPI T205 sp-02 standard. The pulp composition of (B/K) 20/80 at freeness level of 400 ml CSF was resulted in the highest strength properties based on Duncan scoring. Pulp beating was able to decrease the composition of bamboo pulp in pulp mixture while retaining the strength properties
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