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All Journal Journal of Tropical Life Science : International Journal of Theoretical, Experimental, and Applied Life Sciences The Journal of Experimental Life Sciences (JELS) Journal of Innovation and Applied Technology Research Journal of Life Science Natural B Telematika Limits: Journal of Mathematics and Its Applications
Trisilowati, Trisilowati
Brawijaya University
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Computer Science & IT Education Environmental Science Immunology & microbiology Mathematics Medicine & Pharmacology Neuroscience

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Analisis Dinamik pada Model Kanker Serviks dengan Vaksinasi dan Screening Kristanti, Karunia Theda; Trisilowati, Trisilowati; Widodo, Agus
Limits: Journal of Mathematics and Its Applications Vol 17, No 2 (2020)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v17i2.6901

Abstract

Pada paper ini dibahas analisis dinamik model penyebaran kanker serviks dengan melibatkan tindakan vaksinasi dan screening. Penyebab utama terjadinya kanker serviks adalah karena seseorang terinfeksi Human Papillomavirus (HPV). Infeksi ini dapat menular karena adanya kontak langsung melalui hubungan seksual antara subpopulasi wanita rentan dengan pria terinfeksi HPV maupun kontak langsung antara pria rentan dengan wanita terinfeksi HPV. Pada model ini diasumsikan vaksin diberikan pada subpopulasi wanita rentan saja dengan salah satu jenis vaksin. Sementara itu, screening dilakukan oleh subpopulasi wanita terifeksi HPV sebagai upaya deteksi dini untuk mencegah terjadinya kanker serviks. Hasil analisis dinamik menunjukkan bahwa model penyebaran kanker serviks dengan vaksinasi dan screening memiliki dua titik kesetimbangan yaitu titik kesetimbangan bebas penyakit dan titik kesetimbangan endemi. Eksistensi dan kestabilan lokal titik kesetimbangan bergantung pada nilai angka reproduksi dasar R0. Berdasarkan hasil analisis, titik kesetimbangan bebas penyakit eksis tanpa syarat, sedangkan titik kesetimbangan endemi eksis jika R0>1. Titik kesetimbangan bebas penyakit bersifat stabil asimtotik lokal jika nilai R0<1 dan titik kesetimbangan endemi bersifat stabil asimtotik lokal jika memenuhi kriteria Routh-Hurwitz. Simulasi numerik yang dilakukan mendukung hasil analisis dinamik yang diperoleh. 
Peningkatan Kemampuan Perangkat Desa Gondowangi Kecamatan Wagir Kabupaten Malang Dalam Pengelolaan Sistem Informasi Data Kependudukan Terintegrasi Website Zuraidah Fitriah; Noor Hidayat; Trisilowati Trisilowati; Syaiful Anam; Candra Dewi
Journal of Innovation and Applied Technology Vol 7, No 1 (2021)
Publisher : Lembaga Penelitian dan Pengabdian Kepada Masyarakat Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.jiat.2021.007.01.15

Abstract

Dalam observasi awal diperoleh informasi tentang pengelolaan sistem informasi data kependudukan di desa Gondowangi belum dilakukan secara terintegrasi, dalam hal ini hanya dilakukan secara manual. Desa Gondowangi telah memiliki website, namun pengelolaan dilakukan oleh pihak luar perangkat desa, sehingga penyampaian informasi melalui website tersebut belum optimal. Agar pengelolaan website bisa lebih optimal, maka harus dilakukan peningkatan kemampuan perangkat desa dalam mengelola website (sebagai admin) dan mengintegrasikan hasil pengolahan data kependudukan dengan website. Dalam makalah ini diuraikan tentang upaya meningkatkan kemampuan perangkat desa Gondowangi dalam pengelolaan sistim informasi data kependudukan yang terintegrasi dengan website Desa Gondowangi. Pengelolaan dan pengolahan data dilakukan dengan menggunakan aplikasi yang tersedia pada Google, dalam hal ini Google Application.
The Effect of Smoking Behavior in the Human Population Growth of Lung Cancer Patients Lu’luul Wardah; Trisilowati Trisilowati; Wuryansari Muharini Kusumawinahyu
Natural B, Journal of Health and Environmental Sciences Vol 4, No 2 (2017)
Publisher : Natural B, Journal of Health and Environmental Sciences

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (471.679 KB) | DOI: 10.21776/ub.natural-b.2017.004.02.6

Abstract

This article discusses a model of lung cancer as the effect of smoking behavior on both active and passive smoker. There are four subpopulations in this model, namely susceptible subpopulation, active smoker subpopulation, passive smoker subpopulation, and subpopulation of lung cancer.  Dynamical analysis is conducted to determine the equilibrium point, existence condition for equilibrium point, and analyze their stability. Based on analysis result, there are three equilibrium points. First equilibrium point shows that all subpopulations extinct. Second equilibrium point shows that only susceptible subpopulation can survive, and the last equilibrium point shows that all subpopulations can survive. First equilibrium point always exists while the others exist under certain condition. The stability of first equilibrium point can be reached when the intrinsic growth rate is less than the death rate. Whereas, the others equilibrium points will be stable under certain condition. Numerical simulation is performed to illustrate the analysis result. It is shown that numerical results are in accordance with analysis result. These numerical simulations also indicate that the rate of passive smoker plays important role in the growth rate of lung cancer.
Local Sensitivity Analysis of COVID-19 Epidemic with Quarantine and Isolation using Normalized Index Muhammad Abdurrahman Rois; Trisilowati Trisilowati; Ummu Habibah
Telematika Vol 14, No 1: February (2021)
Publisher : Universitas Amikom Purwokerto

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35671/telematika.v14i1.1191

Abstract

This study discusses the sensitivity analysis of parameters, namely the COVID-19 model, by dividing the population into seven subpopulations: susceptible, exposed, symptomatic infection, asymptomatic infection, quarantine, isolation, and recovered. The solution to the ordinary differential equation for the COVID-19 model using the fourth-order Runge-Kutta numerical method explains that COVID-19 is endemic, as evidenced by the basic reproduction number (R0) of 7.5. It means 1 individual can infect 7 to 8 individuals. Then  is calculated using the next-generation matrix method. Based on the value of R0, a parameter sensitivity analysis is implemented to specify the most influential parameters in the spread of the COVID-19 outbreak. This can provide input on the selection of appropriate control measures to solve the epidemic from COVID-19. The results of the sensitivity analysis are the parameters that have the most influence on the model.
Simulation of Tumor Growth Model and Its Interaction with Natural-Killer Cells and T Cells Cholifatul Maulidiah; Trisilowati Trisilowati; Ummu Habibah
Research Journal of Life Science Vol 6, No 3 (2019)
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.rjls.2019.006.03.5

Abstract

This research studies about tumor growth model by involving immune system. Cells in the immune system, for instance natural killer (NK) cells and T cells, have prominent role in recognizing and eliminating tumor cells. In this paper, we construct the tumor growth model consisting of four populations namely tumor cells, NK cells, CD8+T cells, and CD4+T cells which is in the form of a non-linear differential equation. The analysis result shows that there are three tumor free equilibrium points and one coexisting equilibrium point. Some tumor free equilibrium and tumor equilibrium point exist and it is stable under certain conditions. Finally, numerical simulation is carried out to illustrate analysis result. From sensitivity analysis, it is found that the most  sensitive parameter that influence the growth rate of tumor cells are the reciprocal carrying capacity of tumor cells and the killing rate of CD8+T cells by tumor cells.
Analisis Dinamik Model Hepatitis B dengan Sirosis Hati Muna Afdi Muniroh; Trisilowati Trisilowati; Wuryansari Muharini Kusumawinahyu
Limits: Journal of Mathematics and Its Applications Vol 19, No 1 (2022)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v19i1.11060

Abstract

Hepatitis B adalah suatu penyakit peradangan pada organ hati yang memiliki dua fase infeksi yaitu akut dan kronis. Sirosis hati terjadi akibat terbentuknya jaringan parut pada individu hepatitis B berkepanjangan (kronis).  Oleh karena itu, pada penelitian ini dibentuk model penyebaran penyakit hepatitis B dengan sirosis hati. Selain itu, pada model diasumsikan virus hepatitis B (HBV) dapat ditularkan baik secara vertikal maupun horizontal. Analisis dinamik dilakukan untuk menentukan eksistensi dan kestabilan titik kesetimbangan. Berdasarkan hasil analisis dinamik, diperoleh dua titik kesetimbangan yaitu titik kesetimbangan bebas penyakit dan titik kesetimbangan endemik. Angka reproduksi dasar (R0) didapatkan dengan menggunakan matriks generasi selanjutnya. Titik kesetimbangan bebas penyakit eksis tanpa syarat, sedangkan titik kesetimbangan endemik eksis ketika R0>1. Hasil analisis kestabilan menunjukkan bahwa titik kesetimbangan bebas penyakit dan endemik bersifat stabil asimtotik lokal jika kriteria Routh-Hurwitz terpenuhi. Selain itu,  titik kesetimbangan bebas penyakit bersifat stabil asimtotik global jika R0<1 dan titik kesetimbangan endemik bersifat stabil asimtotik global jika memenuhi kondisi tertentu. Simulasi numerik mendukung hasil analisis yang telah diperoleh. 
Dynamics of a Fractional Order Eco-Epidemiological Model Kartika Nugraheni; Trisilowati Trisilowati; Agus Suryanto
Journal of Tropical Life Science Vol. 7 No. 3 (2017)
Publisher : Journal of Tropical Life Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11594/jtls.07.03.09

Abstract

In this paper, we propose a fractional order eco-epidemiological model. We considere the existence of time memory in the growth rate of the three populations. We observed the dynamical behaviour by analysing with fractional order and then simulateing using Grünwald-Letnikov approximation to support analytical results. It found that the model has five equilibrium points, namely the origin, the survival of susceptible prey, the predator free equilibria, the infected prey free equilibria, the interior equilibria. Numerical simulations show that the existence of fractional order  is a factor which affects the behaviour of solutions. 
Dynamical Analysis of HIV/AIDS Epidemic Model with Treatment Badria Ulfa; Trisilowati Trisilowati; Wuryansari M. K.
The Journal of Experimental Life Science Vol. 8 No. 1 (2018)
Publisher : Postgraduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1284.963 KB) | DOI: 10.21776/ub.jels.2018.008.01.04

Abstract

In this article, an epidemic model of HIV/AIDS with treatment is observed. This model consists of five populations: susceptible, educated susceptible, exposed, HIV infected, and AIDS infected. Antiretroviral therapy (ART) is one type of treatment that can be given to individual that is infected by HIV. This medication can prevent the growth of the virus. Exposed individuals are given short-term antiretroviral treatment called Post Exposure Prophylaxis (PPP), while for infected individuals are given treatment by combining two or three types of antiretroviral drugs. Dynamical analysis is performed by determining equilibrium points and local stability analysis. Based on the analysis results, two equilibrium points are obtained, namely disease-free equilibrium point and endemic equilibrium points. The stability analysis shows that the free equilibrium point is locally asymptotically stable if R0 < 1 and the endemic equilibrium point is locally asymptotically stable under certain conditions. Numerical simulations show that giving two medications together has a greater effect in reducing the spread of the disease. Keywords: antiretroviral, dynamical analysis, HIV/AIDS.
Optimal Control of Cervical Cancer Model with Vaccination and Screening Karunia Theda Kristanti; Trisilowati Trisilowati; Agus Widodo
The Journal of Experimental Life Science Vol. 10 No. 2 (2020)
Publisher : Postgraduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.jels.2020.010.02.01

Abstract

In this paper, an optimal control problem of a cervical cancer model with vaccination and screening as controls is discussed. This vaccine can stimulate the immune system to produce antibodies that can prevent the occurrence of human papillomavirus (HPV) infections, while screening is used as secondary prevention of early detection of cervical cancer cells so that treatment can begin immediately. The models were divided into two compartments, females and males. The female's compartment consists of susceptible, vaccinated, infected, screening, cervical cancer, and recovered females. Meanwhile, the male's compartment consists of susceptible, infected, and recovered males. The purpose of this optimal control was to minimize the number of infected females, infected males, and cervical cancer, as well as to minimize the cost of the controls. Optimal control was obtained by using the Pontryagin principle. Furthermore, an optimal control problem was solved numerically using the Forward-Backward Sweep method to determine the effect of vaccination and screening on the model. The results indicate that vaccination and screening as controls are effective in reducing the subpopulation of HPV infection, which can further reduce the occurrence of cervical cancer. Keywords: cervical cancer, vaccination, screening, optimal control
Dynamical Analysis of Fractional-Order Hastings-Powell Food Chain Model with Alternative Food Moh Nurul Huda; Trisilowati Trisilowati; Agus Suryanto
The Journal of Experimental Life Science Vol. 7 No. 1 (2017)
Publisher : Postgraduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1079.224 KB) | DOI: 10.21776/ub.jels.2016.007.01.08

Abstract

In this paper, a fractional-order Hastings-Powell food chain model is discussed. It is assumed that the top-predator population is supported by alternative food. Existence and local stability of equilibrium points of fractional-order system are investigated. Numerical simulations are conducted to illustrate analysis results. The analysis results show that alternative food can give a positive impact for top-predator population.Keywords: Alternative food, Fractional-order, Grunwald-Letnikov approximation, Hasting-Powell model, Stability.
Co-Authors Abdul Rouf Agus Suryanto AGUS WIDODO Agus Widodo Anam, Syaiful Badria Ulfa Candra Dewi Cholifatul Maulidiah Firmansyah Reskal Motulo Hidayat, Noor Kartika Nugraheni Karunia Theda Kristanti Kristanti, Karunia Theda Lu’luul Wardah Moch. Aruman Imron Moh. Nurul Huda Muhammad Abdurrahman Rois Muna Afdi Muniroh Rima Anissa Pratiwi Suryanto, Agus Ummu Habibah Wilda, Robiatul Witari Wuryansari M. K. Wuryasari Muharini Kusumawinahyu Zuraidah Fitriah