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All Journal Journal of Tropical Life Science : International Journal of Theoretical, Experimental, and Applied Life Sciences MATEMATIKA The Journal of Experimental Life Sciences (JELS) CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Mahasiswa Matematika Journal of Innovation and Applied Technology Natural B Journal of Mathematical and Fundamental Sciences JTAM (Jurnal Teori dan Aplikasi Matematika) Limits: Journal of Mathematics and Its Applications Indonesian Journal of Electrical Engineering and Computer Science Jambura Journal of Biomathematics (JJBM) Jurnal Matematika Integratif Limits: Journal of Mathematics and Its Applications
Wuryasari Muharini Kusumawinahyu
Jurusan Matematika, Fakultas MIPA, Universitas Brawijaya
Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Electrical & Electronics Engineering Engineering Environmental Science Immunology & microbiology Mathematics Mechanical Engineering Medicine & Pharmacology Neuroscience Physics Transportation

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A Dynamical Analysis on a Tumour Virotherapy Model with Standard Incident Rate Deasy Sandhya Elya Ikawati; Wuryansari Muharini Kusumawinahyu; Trisilowati Trisilowati
Journal of Tropical Life Science Vol. 7 No. 1 (2017)
Publisher : Journal of Tropical Life Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11594/jtls.07.01.03

Abstract

This paper discusses a dynamical analysis on a model that governs the growth of tumour cell under a therapy by using oncolytic viruses, on the standard incident rate. The model is a modification of the similar one by replacing the bilinear incident rate with the standard one. The conducted dynamical analysis consists of the determination of equilibrium points and their existence conditions, followed by local as well as global stability analysis of the equilibrium points. The analytical result shows that there are two equilibrium points, namely uninfected and the endemic point, which needs a condition to exist. Stability analysis shows that there is a dimensionless basic reproduction number that marks the existence as well as the stability of equilibrium points. When basic reproduction number is less than one, there is only the uninfected equilibrium, which is global asymptotically stable. On the other hands, both of equilibrium points exist when the basic reproduction number is more than one, but the uninfected point is not stable anymore, while the endemic one is local asymptotically stable under a condition. Some numerical simulations are performed to illustrate the analytical result. Numerically, it can also be demonstrated that there is a set of parameters which indicates that tumour can be fully removed.  
Dynamical Analysis and Parameter Estimation of Hepatitis B Disease Model in Malang Fitroh Aulani; Wuryansari Muharini Kusumawinahyu; Isnani Darti
The Journal of Experimental Life Science Vol. 11 No. 3 (2021)
Publisher : Postgraduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.jels.2021.011.03.03

Abstract

In this article, a model representing the spread of Hepatitis B disease is constructed as a nonlinear autonomous system. The model divides the considered human population into three classes, namely susceptible, infected, and recovered class. The dynamical analysis shows that there are two equilibrium points in the model, namely a disease-free equilibrium point and an endemic equilibrium point. The existence and stability of the equilibrium points depend on the basic reproduction number (R_0). The disease-free equilibrium point is local asymptotically stable when R_0<1 while the endemic equilibrium point exists and is local asymptotically stable if R_0>1. The five parameters of the model are estimated by applying Downhill Simplex (Nelder-Mead) Algorithm and by using the infected data cases taken from such a hospital in Malang. The estimated parameters are the transmission of infection rate, the saturation rate, the vaccination rate, the recovery rate, and the immunity loss rate. The resulting parameter estimation supports the analytical result and is used to illustrate the analytical results numerically. Based on the considered model and the result of the parameters estimation, it can be concluded that the Hepatitis B spread in Malang is controllable. Keywords: downhill simplex (Nelder-mead) algorithm, dynamical analysis, hepatitis B model, parameter estimation. 
Dinamik Model Epidemi SIRS dengan Laju Kematian Beragam Ni’matur Rohmah; Wuryansari Muharini Kusumawinahyu
Jurnal Matematika Integratif Vol 10, No 1: April, 2014
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (426.84 KB) | DOI: 10.24198/jmi.v10.n1.10101.1-8

Abstract

Pada artikel ini dibahas model epidemi
Analisis Dinamik Model Penyebaran Aflatoksin pada Manusia dan Hewan Wuryansari Muharini Kusumawinahyu; Yuni Ayu Anita
Jurnal Matematika Integratif Vol 16, No 1: April 2020
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (373.572 KB) | DOI: 10.24198/jmi.v16.n1.27492.41-51

Abstract

Pada penelitian ini dibahas suatu model yang menggambarkan perubahan konsentrasi aflatoksin pada tanaman, hewan, dan manusia, yang menyebar melalui makanan dan pakan ternak yang berasal dari tanaman. Pada model yang berupa sistem autonomus ini dilakukan analisis dinamik yang meliputi penentuan titik kesetimbangan, syarat eksistensi titik kesetimbangan, angka reproduksi dasar, dan analisis kestabilan lokal titik kesetimbangan. Hasil analisis dinamik menunjukkan bahwa model memiliki empat titik kesetimbangan dan dua angka reproduksi dasar. Tiga titik kesetimbangan eksis dengan syarat tertentu. Kestabilan titik kesetimbangan aksial bergantung pada angka reproduksi dasar, sedangkan titik kesetimbangan interior selalu stabil asimtotik lokal bila ia eksis. Hasil simulasi numerik yang dilakukan mendukung hasil analisis dinamik.
Dynamics of Covid-19 model with public awareness, quarantine, and isolation Risyqaa Syafitri; Trisilowati Trisilowati; Wuryansari Muharini Kusumawinahyu
Jambura Journal of Biomathematics (JJBM) Volume 4, Issue 1: June 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v4i1.19832

Abstract

This paper presents a new COVID-19 model that contains public awareness, quarantine, and isolation. The model includes eight compartments: susceptible aware (SA), susceptible unaware (SU), exposed (E), asymptomatic infected (A), symptomatic infected (I), recovered (R), quarantined (Q), and isolated (J). The introduction will be shown in the first section, followed by the model simulation. The equilibrium points, basic reproduction number, and stability of the equilibrium points are then determined. The model has two equilibrium points: disease-free equilibrium point and endemic equilibrium point. The next-generation matrix is used to calculate the basic reproduction number R0. The disease-free equilibrium point always exists and is locally stable if R0 1, whereas the endemic equilibrium point exists when R0 1 and is locally stable if satisfying the Routh-Hurwitz criterion. Stability properties of the equilibrium confirmed by numerical simulation also show that quarantine rate and isolation rate have an impact in the transmission of COVID-19
The Dynamics of a Predator-Prey Model Involving Disease Spread In Prey and Predator Cannibalism Ah, Nurul Imamah; Kusumawinahyu, Wuryansari Muharini; Suryanto, Agus; Trisilowati, Trisilowati
Jambura Journal of Biomathematics (JJBM) Volume 4, Issue 2: December 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v4i2.21495

Abstract

In this article, dynamics of predator prey model with infection spread in prey and cannibalism in predator is analyzed. The model has three populations, namely susceptible prey, infected prey, and predator. It is assumed that there is no migration in both prey and predator populations. The dynamical analysis shows that the model has six equilibria, namely the trivial equilibrium point, the prey extinction point, the disease free and predator extinction equilibrium point, the disease-free equilibrium point, the predator extinction equilibrium point, and the coexistence equilibrium point. The first equilibrium is unstable, and the other equilibria conditionally local asymptotically stable. The positivity and boundedness of the solution are also shown. The analytical result is supported by numerical simulation. It is shown that in such a high cannibalization the coexistence equilibrium is locally asymptotically stable.
Dynamical Analysis of Discrete-Time Modified Leslie-Gower Predator-Prey with Fear Effect Purnomo, Anna Silvia; Darti, Isnani; Suryanto, Agus; Kusumawinahyu, Wuryansari Muharini
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.26515

Abstract

It has been studied that fear plays a significant role in establishing ecological communities, influencing biodiversity, and preserving ecological balance in predator-prey interactions. In this study, it is proposed a discrete-time predator-prey model that takes the fear effect into account that is derived by using Euler method. Objective of this study is analyzing the model by linearization. Similar to the continuous model properties, the trivial fixed point and the predator-free fixed point are both unstable. The discrete model differs from the continuous model in that the stability of the interior fixed point and the free prey fixed point is affected by the time step size. Using numerical methods, we examine period-doubling bifurcations related to interior fixed point and prey-free point that are impacted by time step size.
Dynamical Analysis and Optimal Control of Breast Cancer Patient Model Kunnisai Muniroh; Ummu Habibah; Wuryansari Muharini Kusumawinahyu
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.31514

Abstract

This research studied the dynamics model of breast cancer patients that was built as a dynamical system. The model had five compartments, including the subpopulations of stage 1 and 2 breast cancer patients, stage 3 cancer patients, stage 4 cancer patients, recovered individuals due to chemotherapy treatment, and patients who suffered cardiotoxicity. Equilibrium points and local stability were determined. The dynamical analysis resulted in one equilibrium point that exists and is stable under certain conditions. The model was constructed with the assumption that all patients undergo intensive chemotherapy treatment. This treatment caused side effects in the form of cardiotoxicity. Therefore, optimal control of additional treatment and ketogenic diet was applied. Additional treatment control is applied to prevent cardiotoxicity, while ketogenic diet control is used to reduce tumor cell growth. The aim of optimal control was to find out the treatment strategy that is effective in reducing cardiotoxicity and treatment costs. Numerical simulations were conducted to support the analysis results.
Bifurcation Analysis of a Discrete Logistic System with Additive Allee Effect and Feedback Control Nadia Agus Hadinata; Agus Suryanto; Wuryansari Muharini Kusumawinahyu
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 2 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v9i2.26674

Abstract

A discrete logistic system with addition Allee effect and feedback control is analyzed in this paper. The results of the analysis show that the model has a trivial fixed point and interior fixed point. The results of our stability analysis show that there are topological differences that depend on the step size. Bifurcation analysis is performed by using the center manifold theory and the bifurcation theorem. By taking the step size as a bifurcation parameter, we show that the model may go through a period-doubling and Neimark-Sacker bifurcations. Some numerical simulations are performed to confirm the result of the analysis.
Advanced cervical cancer classification: enhancing pap smear images with hybrid PMD filter-CLAHE Khozaimi, Ach; Darti, Isnani; Anam, Syaiful; Kusumawinahyu, Wuryansari Muharini
Indonesian Journal of Electrical Engineering and Computer Science Vol 39, No 1: July 2025
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijeecs.v39.i1.pp644-655

Abstract

Cervical cancer remains a significant health problem, especially in developing countries. Early detection is critical for effective treatment. Convolutional neural networks (CNN) have shown promise in automated cervical cancer screening, but their performance depends on pap smear image quality. This study investigates the impact of various image preprocessing techniques on CNN performance for cervical cancer classification using the SIPaKMeD dataset. Three preprocessing techniques were evaluated: PeronaMalik diffusion (PMD) filter for noise reduction, contrast-limited adaptive histogram equalization (CLAHE) for image contrast enhancement, and the proposed hybrid PMD filter-CLAHE approach. The enhanced image datasets were evaluated on pretrained models, such as ResNet-34, ResNet-50, SqueezeNet-1.0, MobileNet-V2, EfficientNet-B0, EfficientNet-B1, DenseNet121, and DenseNet-201. The results show that hybrid preprocessing PMD filter-CLAHE can improve the pap smear image quality and CNN architecture performance compared to the original images. The maximum metric improvements are 13.62% for accuracy, 10.04% for precision, 13.08% for recall, and 14.34% for F1-score. The proposed hybrid PMD filter-CLAHE technique offers a new perspective in improving cervical cancer classification performance using CNN architectures.
Co-Authors Agus Suryanto Agus Suryanto Andonowati Andonowati Ani Budi Astuti Deasy Sandhya Elya Ikawati Fitroh Aulani Hidayatulloh, Muhammad Rif’an Ikawati, Deasy Sandhya Elya Isnani Darti Khozaimi, Ach. Kunnisai Muniroh Kwardiniya Andawaningtyas Lu’luul Wardah Muna Afdi Muniroh Muna Afdi Muniroh Nadia Agus Hadinata Ni’matur Rohmah Nurmaini Puspitasari Nurmaini Puspitasari Nurul Imamah Purnomo, Anna Silvia Risyqaa Syafitri Syaiful Anam Trisilowati Trisilowati Trisilowati Trisilowati Trisilowati, Trisilowati Trisilowati, Trisilowati Ummu Habibah Yuni Ayu Anita