Judul: Analisis Kestabilan Model SIR-SI untuk Penyebaran Penyakit Malaria dengan Adanya Imigran Rentan
Abstrak: Malaria adalah penyakit menular yang ditularkan oleh nyamuk Anopheles betina yang terinfeksi parasit malaria. Model matematika yang digunakan dalam penelitian ini adalah model SIR-SI dengan mempertimbangkan faktor migrasi. Tujuan penelitian ini adalah menganalisis kestabilan titik tetap menggunakan matriks Jacobian dan kriteria Routh-Hurwitz, serta menganalisis sensitivitas parameter. Terdapat dua titik tetap dalam model yaitu titik tetap bebas penyakit dan titik tetap endemik. Kestabilan titik tetap berkaitan dengan bilangan reproduksi dasar yang ditentukan melalui matriks next generation. Titik tetap bebas penyakit bersifat stabil asimtotik lokal jika ℛ0 < 1 dan titik tetap endemik bersifat stabil asimtotik lokal jika ℛ0 > 1. Berdasarkan hasil analisis sensitivitas, diperoleh bahwa parameter laju migrasi dan laju kontak transmisi penyakit antara manusia dan nyamuk berpengaruh terhadap kenaikan bilangan reproduksi dasar. Sehingga parmeter-parameter tersebut perlu dikendalikan untuk menekan laju penyebaran penyakit malaria., Malaria is a infectious disease transmitted by female Anopheles mosquitoes infected by the malaria parasite. The mathematical model used in this research is the SIR-SI model by considering the migration factor. The purpose of this research was to analyze the stability of a fixed points using the Jacobian matrix and Routh-Hurwitz criteria, and to analyze the sensitivity of the parameters. There are two fixed points in the model, namely a disease-free fixed point and an endemic fixed point. The stability of a fixed point is related to the basic reproduction number which is determined by the next generation matrix. The disease-free fixed point is locally asymptotically stable if and the endemic fixed point is locally asymptotically stable if Based on the results of sensitivity analysis, it was found that the parameters of the migration rate and the contact rate of disease transmission between humans and mosquitoes had an effect on increasing the basic reproductive number. So that these parameters need to be controlled to reduce the rate of spread of malaria disease.
Keyword: basic reproduction number, malaria, migration, sensitivity, stability

Judul: Pengaruh Migrasi Manusia dan Nyamuk pada Dinamika  Penyabaran Penyakit Malaria
Abstrak: Malaria adalah penyakit menular melalui infeksi parasite yang disebabkan oleh plasmodium dalam darah. Pada peneltitian ini digunakan model matematika SEIRS-SEI dengan adanya migrasi pada populasi manusia dan nyamuk. Tujuan penelitian ini adalah menganalisis kestabilan titik tetap menggunakan kriteria Routh-Hurwitz, menganalisis sensitivitas terhadap parameter yang digunakan pada model, dan melakukan simulasi numerik. Dalam penelitian ini diperoleh dua titik tetap yaitu titik tetap bebas penyakit dan titik tetap endemik. Kestabilan titik tetap tersebut ditentukan oleh nilai bilangan reproduksi dasar (R_0). Analisis sensitivitas terhadap R_0 menunjukkan bahwa melalui parameter laju migrasi manusia, laju migrasi nyamuk, tingkat gigitan nyamuk yang terinfeksi pada manusia rentan dan tingkat gigitan nyamuk rentan pada manusia terinfeksi dapat digunakan untuk mengendalikan laju penyebaran penyakit malaria., Malaria is an infectious disease through parasite infection caused by plasmodium in the blood. In this research, the SEIRS-SEI model was used with human and mosquito migrations. The purpose of this research was to analysis the stability of the fixed point using the Routh-Hurwitz criteria, analyze the stability of the parameters in the model, and to do a numerical simulation. In this study, two fixed points were obtained, namely disease-free fixed point and endemic fixed point. The stability of the fixed point is determined by the value of the basic reproduction number (R_0). The sensitivity analysis of R_0 shows through the paramters rate of human and mosquito migration, biting rate of infected mosquitoes in susceptible humans and biting rate of susceptible mosquitoes to infected humans can be used to control the rate of spread of malaria.
Keyword: sensitivity analysis, stability analysis, basic reproduction number, malaria, migration, analisis kestabilan, analisis sensitivitas, bilangan reproduksi dasar, migrasi

Judul: Sintesis Giant Dielectric CaCu3Ti4O12 Dengan Hidrotermal Menggunakan Cangkang Telur Sebagai Sumber Ca
Abstrak: In this research the synthesis of CCTO by using hydrothermal method from Chicken Eggshells as Source of Ca had been done. Sample was calcined at 900 ° C for 8 hours then sintered at various temperature from 950 ° C and 1050 ° C for 12 hours. Samples were characterized by using XRD and showed that CCTO formed match with the JCPDS data (pattern 21-0140). The results of LCR meter in the frequency range of 100Hz to 10KHz indicated that CCTO with sintering temperature of 950 ° C has a dielectric constant of ~ 33000 at a frequency of 100Hz and tan δ ~ 1.80 at the same frequency. While the sintering temperature of 1050 ° C decreased CCTO dielectric constant (~ 3031) at a frequency of 100Hz, with value of tan δ ~ 4.95. Sintering temperature variation also resulted in changes of CCTO microstructure. At the sintering temperature of 950 ° C the microstructure of CCTO has small grains (~0.058 μm) and a uniform grain size distribution, while the sintering temperature of 1050 ° C sample CCTO has a larger grain size (~0.0703μm).
Keyword: Bogor Agricultural University (IPB), Hydrothermal., Giant Dielectric Constant, Egg shell, CaCu3Ti4O12