ANALISIS DAN BIFURKASI MODEL PENYAKIT DENGUE DENGAN DUA STRAIN VIRUS; ANALYSIS AND BIFURCATION OF THE DENGUE DISEASE MODEL WITH TWO VIRUS STRAINS

AURORA NUR AINI, Fajar Adi Kusumo

2014 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

Dengue fever (DF) and dengue haemorrhagic fever (DHF) are the disease caused by the dengue virus which is transmitted to the human by infected female mosquitoes. The disease is endemic in more than 100 countries over the world. Dengue virus has four distinct serotypes which are closely related to each other antigenically. A person infected by the dengue virus will never be infected again by the same serotype, but he looses immunity from the three other serotypes. Infection with one serotype does not provide cross-protective immunity against to others. Here we analyze the model of dengue fever with two infections from the different serotype. In this model, the recovered class of the first infections become the susceptible of the second infection. We analyze the model of dengue fever with two infections from the different serotype by linear analysis, then we analyze the bifurcation of some parameter. In numerical simulation, we use Runge-Kutta order 4 to integrate the solution of the system

Kata Kunci : ANALISIS DAN BIFURKASI; MODEL PENYAKIT DENGUE; DUA STRAIN VIRUS