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All Journal EKSAKTA: Journal of Sciences and Data Analysis MATEMATIKA SAINS DAN MATEMATIKA Journal of Mathematical and Fundamental Sciences Jurnal Matematika: MANTIK Communication in Biomathematical Sciences International Journal of Computing Science and Applied Mathematics
sutimin sutimin
Department Of Mathematics, Diponegoro University, Jl. Prof. H. Soedarto SH, Tembalang, Semarang 50275
Astronomy Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Earth & Planetary Sciences Education Materials Science & Nanotechnology Mathematics Physics Social Sciences

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Journal : Communication in Biomathematical Sciences

 1 
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.
Modeling CD4+ T cells and CTL response in HIV-1 infection with antiretroviral therapy Sutimin, Sutimin; Sunarsih, Sunarsih; Tjahjana, R. Heru
Communication in Biomathematical Sciences Vol 1, No 2 (2018)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (278.074 KB) | DOI: 10.5614/cbms.2018.1.2.3

Abstract

The majority of an immune system infected by HIV (Human Immunodeficiency Virus) is CD4+ T cells. The HIV-1 transmission through cell to cell of CD4+ T cells supports the productive infection. On the other hand, infected CD4+ T cells stimulate cytotoxic T-lymphocytes cells to control HIV-1 infection. We develop and analyze a mathematical model incorporating the infection process through cell to cell contact of CD4+ T cells, CTL compartment and the combination of RTI and PI treatments. By means of the alternative reproduction ratio, it is analyzed the stability criteria and the existence of endemic equilibrium. Numerical simulations are presented to study the implication of the combination of RTI and PI therapy. The results indicate that RTI drug shows more significant effect in reducing HIV-1 infection compared to PI drug.
Modeling CD4+ T cells and CTL response in HIV-1 infection with antiretroviral therapy Sutimin Sutimin; Sunarsih Sunarsih; R. Heru Tjahjana
Communication in Biomathematical Sciences Vol. 1 No. 2 (2018)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2018.1.2.3

Abstract

The majority of an immune system infected by HIV (Human Immunodeficiency Virus) is CD4+ T cells. The HIV-1 transmission through cell to cell of CD4+ T cells supports the productive infection. On the other hand, infected CD4+ T cells stimulate cytotoxic T-lymphocytes cells to control HIV-1 infection. We develop and analyze a mathematical model incorporating the infection process through cell to cell contact of CD4+ T cells, CTL compartment and the combination of RTI and PI treatments. By means of the alternative reproduction ratio, it is analyzed the stability criteria and the existence of endemic equilibrium. Numerical simulations are presented to study the implication of the combination of RTI and PI therapy. The results indicate that RTI drug shows more significant effect in reducing HIV-1 infection compared to PI drug.
On the Reproduction Ratio of Dengue Incidence in Semarang, Indonesia 2015-2018 Juni Wijayanti Puspita; Muhammad Fakhruddin; Hilda Fahlena; Fatkhur Rohim; 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.
Co-Authors Adelina Hasyim Agus Rusgiyono Bayu Surarso Dinita Rahmalia, Dinita Fakhruddin, Muhammad Faraimunashe Chirove Fatkhur Rohim Febriana Dewi hermin ps Hilda Fahlena Imamudin Imamudin Indah Uswatun Juni Wijayanti Puspita Khozin Mu'tamar Lisyani Budipradigda Suromo Muhammad Fakhruddin mustikaningsih, Dian Nuning Nuraini Pukky Tetralian Bantining Ngastiti Redemtus Heru Tjahjana Rohim, Fatkhur Sri Rubiyanti sulanjari, Sulanjari Sunarsih Sunarsih Tarita is Undang Rosidin Yundari, Yundari Zullaikah, Zullaikah