Judul: Penyelesaian Model Epidemi SEIV dengan Menggunakan Metode Perturbasi Homotopi
Abstrak: SEIV epidemic model is one of mathematical models for the spread of infectious diseases. Examples of infectious diseases that correspond to this model are polio and rabies. One way to handle the spread of infectious diseases is by vaccination. SEIV epidemic model has involved factor of vaccination, and it has nonlinear form. Solution of SEIV epidemic model is constructed by using the perturbation homotopy method. In homotopy perturbation method, linear operator and nonlinear operator are defined by differential equations those arise in SEIV epidemic model. The graph of solutions obtained by the homotopy perturbation method and that by the numerical method are coincide. Simulations which are given by changing the parameter values of the SEIV epidemic model provided small differences.
Keyword: Bogor Agricultural University (IPB), perturbation homotopy method, nonlinear problem, SEIV epidemic model

Judul: Penyelesaian Model Epidemi SIR dengan Vaksinasi Konstan Menggunakan Metode Perturbasi Homotopi Optimal
Abstrak: Model epidemi SIR dengan vaksinasi konstan merupakan salah satu model matematika untuk penyebaran penyakit menular. Model epidemi tersebut berbentuk sistem persamaan diferensial taklinear. Penyelesaian model epidemi SIR ini dilakukan dengan menggunakan metode perturbasi homotopi optimal. Metode ini adalah perluasan dari metode perturbasi homotopi yang dikombinasikan dengan metode kuadrat terkecil. Dalam metode perturbasi homotopi optimal, didefinisikan operator linear dan taklinear berdasarkan persamaan diferensial yang muncul pada model epidemi SIR dengan vaksinasi konstan. Grafik penyelesaian yang diperoleh dari metode perturbasi homotopi optimal dan metode numeriknya menunjukkan kedua grafik penyelesaian tersebut berhimpit. Simulasi diberikan dengan mengubah nilai parameter vaksinasi dari model epidemi SIR dengan vaksinasi konstan dan tetap memberikan galat yang kecil
Keyword: SIR epidemic model with constant vaccination, nonlinear problem, optimal perturbation, homotopy method

Judul: Komposisi Asam Lemak, Kolesterol, dan Deskripsi Jaringan Fillet Ikan Kakap Merah (Lutjanus argentimaculatus) Segar dan Goreng
Abstrak: Red Snapper (Lutjanus argentimaculatus) is a type of fish that usually consumed by people. The aim of this research was to determine the composition of fatty acid, cholesterol and tissues description on fresh and fried of red snapper fillet. Fresh red snapper had mosture content 79.31%, 1.92% ashes, 16.30% protein, 0.05% fat and carbohydrates 0.23%. Then after frying, the mosture changed into 62.49%, ashes 1.98%, protein 28.40%, fat 2.17%, and carbohydrates 5.62%. The highest compound of saturated fatty acid on red snapper were myristic acid (C14:0), palmitic acid (C18:0), and stearic acid (C18:0). The highest compound of monounsaturated fatty acid were palmitoleat acid (C16:1) and oleic acid (C18:1). The highest compound of polyunsaturated fatty acid were linoleic acid (C18:2), linolenat acid (C18: 3), arakidonat acid (C20:4), EPA (C20:5) and DHA (C22:6). Cholesterol content has changed of 20 mg/ 100 g to 60 mg/ 100 g after frying. Tissues structure of fresh red snapper seemed not compact because of decline quality meat, but fried flesh of red snapper seemed more compact.
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