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All Journal Jurnal Mahasiswa Matematika Communication in Biomathematical Sciences
Fakhruddin, Muhammad
Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132
Mathematics Social Sciences

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On the Reproduction Ratio of Dengue Incidence in Semarang, Indonesia 2015-2018 Puspita, Juni Wijayanti; Fakhruddin, Muhammad; Fahlena, Hilda; Rohim, Fatkhur; Sutimin, Sutimin
Communication in Biomathematical Sciences Vol 2, No 2 (2019)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2019.2.2.5

Abstract

Dengue is one of the mosquito-borne diseases caused by dengue viruses (DENV), which has become endemic in most tropical and subtropical countries, including Indonesia. Since there is a lot of dengue incidence on children of age less than fourteen years old in Semarang, Indonesia, it is the interest here to analyze the different rates of infection among different age groups. A SIR-UV mathematical model with age structure in human the population is constructed to describe dengue transmission in Semarang from 2015 to 2018. In this study, we separated the human population into four age classes: children (0-4 years), youngster (5-14 years), productive adults (15-60 years) and non-productive adults (over 60 years). We use Particle Swarm  Optimization to obtain optimal parameters for the transmission rates based on the yearly incidence. The basic reproduction ratio (R0) is derived from the Next Generation Matrix and is evaluated by using the optimal parameters for data Semarang in 2015-2018. Numerical simulation results show that the number of dengue incidence is in a good agreement with the actual data in Semarang for 2015-2018.
Dynamical analysis of a predator-prey model arising from palm tree plantation Syukriyah, Yenie; Fakhruddin, Muhammad; Nuraini, Nuning; Kusdiantara, Rudy
Communication in Biomathematical Sciences Vol 2, No 2 (2019)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (919.846 KB) | DOI: 10.5614/cbms.2019.2.2.6

Abstract

Palm oil industry has become an issue that has caught the attention of the world community in recent years. From an economic point of view, this industry is very influential in developing and spurring economic growth in rural areas. In this paper, a predator-prey dynamical model representing the interaction between palm leaf, caterpillar and predator is discussed here. The caterpillar life-cycle starts from eggs, larvae, pupas and the adult moths, and only the larvae interact with the predator. With a given threshold level of the leaves for survival and productivity, the critical level of predators is shown. Further, the dynamical analysis is discussed analytically and numerically. Bifurcation diagrams and sensitivity analysis of each compartment were also obtained to see the effect of changing parameters on the dynamics. The results explain that the increase of larvae predators can reduce the number of larvae pests that eat palm oil leaves, but they need to be controlled to maintain the balance of the ecosystem.
Comparison of Dengue Transmission in Lowland and Highland Area: Case Study in Semarang and Malang, Indonesia Fauzi, Ilham Saiful; Fakhruddin, Muhammad; Nuraini, Nuning; Wijaya, Karunia Putra
Communication in Biomathematical Sciences Vol 2, No 1 (2019)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (545.281 KB) | DOI: 10.5614/cbms.2019.2.1.3

Abstract

Dengue is a potentially lethal mosquito-borne disease, regarded as the most dangerous disease in the world. It is also a major health issue in tropical and subtropical countries. Environmental characteristics and sociocultural are factors which play a role in the spread of dengue. Different landscape structure such as lowland and highland areas are possible to give different infection rate on dengue transmission. Semarang and Malang are densely populated areas in Java, which are selected to be our study areas. A mathematical model (SIR-UV) is adapted to describe dengue transmission. Spiral dynamic optimization is applied to convert monthly data to weekly in Malang and estimate the infection rate that minimized the deviation between dengue data and simulation. This method produces a good fitting to the data. We compare the pattern of dengue cases from the simulation in both cities. Furthermore, we identify seasonal variations of the cases via Fourier series of the infection rate. We also investigate the correlation between humidity, infection rate, and dengue cases in Semarang and Malang. It reveals that humidity influences infection rate in 1-3 weeks later and the infection rate produces dengue cases in the next four weeks.
SOLUSI NUMERIK PERSAMAAN KORTEWEG-DE VRIES MENGGUNAKAN MESHLESS METHOD OF LINES Fakhruddin, Muhammad
Jurnal Mahasiswa Matematika Vol 3, No 1 (2015)
Publisher : Jurnal Mahasiswa Matematika

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Abstract

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Co-Authors Fahlena, Hilda Ilham Saiful Fauzi Juni Wijayanti Puspita Kusdiantara, Rudy Nuning Nuraini Rohim, Fatkhur sutimin sutimin Syukriyah, Yenie Wijaya, Karunia Putra