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All Journal Jurnal Statistika Universitas Muhammadiyah Semarang Jurnal Sains Matematika dan Statistika BAREKENG: Jurnal Ilmu Matematika dan Terapan Communication in Biomathematical Sciences Limits: Journal of Mathematics and Its Applications Jambura Journal of Mathematics MONSU'ANI TANO Jurnal Pengabdian Masyarakat Jurnal Matematika UNAND Contemporary Mathematics and Applications (ConMathA) Jambura Journal of Mathematics Education Jambura Journal of Biomathematics (JJBM) Jurnal Diferensial MATHunesa: Jurnal Ilmiah Matematika Jurnal Pengabdian Papua Trigonometri: Jurnal Matematika dan Ilmu Pengetahuan Alam Journal of Mathematics, Computation and Statistics (JMATHCOS)
Hasan S. Panigoro
Universitas Negeri Gorontalo
Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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Global stability of a fractional-order logistic growth model with infectious disease Hasan S. Panigoro; Emli Rahmi
Jambura Journal of Biomathematics (JJBM) Volume 1, Issue 2: December 2020
Publisher : Department of Mathematics, State University of Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v1i2.8135

Abstract

Infectious disease has an influence on the density of a population. In this paper, a fractional-order logistic growth model with infectious disease is formulated. The population grows logistically and divided into two compartments i.e. susceptible and infected populations. We start by investigating the existence, uniqueness, non-negativity, and boundedness of solutions. Furthermore, we show that the model has three equilibrium points namely the population extinction point, the disease-free point, and the endemic point. The population extinction point is always a saddle point while others are conditionally asymptotically stable. For the non-trivial equilibrium points, we successfully show that the local and global asymptotic stability have the similar properties. Especially, when the endemic point exists, it is always globally asymptotically stable. We also show the existence of forward bifurcation in our model. We portray some numerical simulations consist of the phase portraits, time series, and a bifurcation diagram to validate the analytical findings.
A Fractional-Order Predator-Prey Model with Age Structure on Predator and Nonlinear Harvesting on Prey Hasan S. Panigoro; Resmawan Resmawan; Amelia Tri Rahma Sidik; Nurdia Walangadi; Apon Ismail; Cabelita Husuna
Jambura Journal of Mathematics Vol 4, No 2: July 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1401.536 KB) | DOI: 10.34312/jjom.v4i2.15220

Abstract

In this manuscript, the dynamics of a fractional-order predator-prey model with age structure on predator and nonlinear harvesting on prey are studied. The Caputo fractional-order derivative is used as the operator of the model by considering its capability to explain the present state as the impact of all of the previous conditions. Three biological equilibrium points are successfully identified including their existing properties. The local dynamical behaviors around each equilibrium point are investigated by utilizing the Matignon condition along with the linearization process. The numerical simulations are demonstrated not only to show the local stability which confirms all of the previous analytical results but also to show the existence of periodic signal as the impact of the occurrence of Hopf bifurcation.
Implementasi algoritma genetika dalam mengestimasi kepadatan populasi jackrabbit dan coyote Dian Savitri; Ninik Wahju Hidajati; Hasan S. Panigoro
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 1: June 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i1.11935

Abstract

This article studies about the parameter estimation using genetic algorithm for a Lotka-Volterra prey-predator model. The secondary data consist of the density of jackrabbit as prey and coyote as predator in Southwest Presscott–Arizona are used. As results, the Mean Absolute Percentage Error (MAPE) are computed to compare the results of parameter estimation and the real data. We have shown that MAPE for jackrabbit and coyote respectively given by 7.75424% and 7.95283%. This results show that the parameter estimation with genetic algorithm using Lotka-Volterra model is passably. Furthermore, some numerical simulations are portrayed to show each population density for the next 100 years.
Analisis Dinamik Model Penyebaran COVID-19 dengan Vaksinasi Resmawan Resmawan; Lailany Yahya; Revandi S. Pakaya; Hasan S. Panigoro; Agusyarif Rezka Nuha
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 1: June 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i1.13176

Abstract

Coronavirus Disease 2019 (COVID-19) is a new type of virus from a large family of viruses transmitted between humans and animals (zoonotically transmitted) that was first discovered in Wuhan City, Hubei Province, China in late 2019 which is still widespread and threat throughout the world including Indonesia. This article discussed about the mathematical model of the spread of COVID-19 with vaccinations. In this case, the human population is divided into 5 classes, namely the suspected, vaccine, exposed, infected and recovered classes. The constructed model forms an SVEIR model that has two equilibrium points, namely disease-free and endemic equilibrium points. Stability analysis shows that the equilibrium point is stable local and global asymptotic if R0 1 and unstable if R0 1. Then a sensitivity analysis was carried out to determine the parameters that greatly affect the model as well as furthermore, numerical simulations are given to describe the behavior of the model that has been obtained based on the analysis of the sensitivity of basic reproductive numbers, obtained several parameters that affect the spread of COVID-19. Numerical simulation results show that vaccination can suppress the addition of infected populations and depend on the level of effectiveness of vaccination.
Dynamics of a predator-prey model incorporating infectious disease and quarantine on prey Anatasya Lahay; Muhammad Rezky Friesta Payu; Sri Lestari Mahmud; Hasan S Panigoro; Perry Zakaria
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 2: December 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i2.17162

Abstract

In this article, the dynamics of a predator-prey model incorporating infectious disease and quarantine on prey population is discussed. We first analyze the existence conditions of all positive equilibrium points. Next, we investigate the local stability properties of the proposed model using the linearization method. We also determine the basic reproduction number using the next generation matrix. Finally, some numerical simulations are performed to validate the stability of each equilibrium point.
The existence of Neimark-Sacker bifurcation on a discrete-time SIS-Epidemic model incorporating logistic growth and allee effect Amelia Tri Rahma Sidik; Hasan S. Panigoro; Resmawan Resmawan; Emli Rahmi
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 2: December 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i2.17515

Abstract

This article investigates the dynamical properties of a discrete time SIS-Epidemic model incorporating logistic growth rate and Allee effect. The forward Euler discretization method is employed to obtain the discrete-time model. All possible fixed points are identified including their local dynamics. Some numerical simulations by varying the step size parameter are explored to show the analytical findings, the existence of Neimark-Sacker bifurcation, and the occurrence of period-10 and 20 orbits
Kepraktisan E-Modul Flip Materi Lingkaran Berbasis Problem Based Learning Sri Agustin Limalo; Nurhayati Abbas; Hasan S. Panigoro
Jambura Journal of Mathematics Education Vol 4, No 2: September 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jmathedu.v4i2.18204

Abstract

This study aims to test the practicality of the problem-based mathematics e-module based on circle material. The type of research used is comparative descriptive research. The subjects of this study were teachers and students of class IX at SMP Negeri 2 Tilamuta. The results showed that the assessment of using Problem Based Learning -based mathematics e-modules received positive responses from teachers with an average percentage of 87.23% and positive responses from students with an average percentage of 78.45%. The average percentage of teacher and student responses is in the very good category, the module meets the practical criteria. Based on the study result, it can be concluded that the Problem Base Learning -based mathematics e-module, Circle material, fulfils practicality so it is suitable for use in learning.
Sifat Fundamental Pada Granum Eulerian Suaib A Siraj; Asriadi Asriadi; Djihad Wungguli; Hasan S. Panigoro; Nurwan Nurwan; Nisky Imansyah Yahya
Limits: Journal of Mathematics and Its Applications Vol 21, No 2 (2024)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v21i2.20164

Abstract

Mathematical analysis has several important connections with graph theory. Although initially, they may seem like two separate branches of mathematics, there are relationship between them in several aspects, such as graphs as mathematical objects that can be analyzed using concepts from analytic mathematics. In graph theory, one often studies distance, connectivity, and paths within a graph. These can be further analyzed using analytic mathematics, such as in the structure of natural numbers. Literature studies on graph theory, especially Eulerian graphs, are interesting to explore. An Eulerian path in a graph G is a path that includes every edge of graph G exactly once. An Eulerian path is called closed if it starts and ends at the same vertex. The concept of granum theory as a generalization of undirected graphs on number structures provides a rigorous approach to graph theory and demonstrates some fundamental properties of undirected graph generalization. The focus of this study is to introduce the connectivity properties of Eulerian granum. The granum G(e,M) is called connected if for every u,v ∈ M with u ≠ v there exists a path subgranumG^' (e,M^' )⊆ G(e,M)  where u,v ∈ M^' and is called an Eulerian granum if there exists a surjective mapping ϕ∶ [∥E(G(e,M))∥ + 1]→ M such that e(ϕ(n),ϕ(n+1))=1 for every n ∈ [‖E(G(e,M))‖]. This property provides a deeper understanding of the structure and characteristics of Eulerian granum, which have not been fully comprehended until now.
PENINGKATAN SOFT SKILL PELAYANAN PRIMA BAGI PEKERJA MIGRAN INDONESIA (PMI) DI JOHOR BAHRU MALAYSIA Panigoro, Hasan S.; Sahami, Femy Mahmud; Amali, Lanto Ningrayati; Malik, Harto
JURNAL PENGABDIAN PAPUA Vol 8 No 2 (2024)
Publisher : LPPM Uncen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31957/jpp.v8i2.3915

Abstract

Indonesian migrant workers play a vital role in the economy of Johor Bahru, Malaysia, but they face a variety of challenges in their daily lives, even though they often have adequate technical skills for their jobs. Language and cultural differences mean that migrant workers must be able to adjust to new work environments and face diverse job demands. Mastery of essential soft-skills, especially excellent service, is crucial to their success and well-being while living and working. Excellent service soft-skills such as empathy, adaptability, and conflict management often become obstacles, which can directly affect users' perceptions of the services they provide. The solution offered to overcome these problems is to conduct training to improve excellent service soft-skills, which aim to provide knowledge and understanding of the importance of excellent service, effective communication skills, conflict management, empathy, and patience skills, work quality and reliability, readiness to face changes, and ethics and integrity. The implementing activities using an approach method through providing materials and feedback. The material was provided through a short course with an interactive method approach and discussion.  This community service activity has succeeded in increasing Indonesian migrant workers understanding of excellent service soft-skills. This is based on feedback from participants who stated that they understood and would strive to apply the concept of excellent service in their daily lives. It is hoped that the excellent service soft-skills improvement strategy that has been provided can become an effective and sustainable foundation and can contribute positively to the quality of their work and welfare in the future and create a harmonious and inclusive environment for Indonesian migrant workers in Johor Bahru, Malaysia. 
Pengembangan Modul Ajar Berdiferensiasi Berbasis Kurikulum Merdeka dengan Pendekatan Pendidikan Matematika Realistik Datu, Pratiwi Ardin; Pomalato, Sarson W. Dj; Panigoro, Hasan S.
Jambura Journal of Mathematics Education Vol 5, No 1: Maret 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jmathedu.v5i1.20132

Abstract

This research is development research and aims to produce a teaching device in the form of an emancipated curriculum-based module with a realistic mathematics education approach that is valid, practical, and effective. This research employs the 4- D development model conducted on the seventh grade students at SMPN 1 Kwandang, North Gorontalo Regency, in the first semester of the academic year 2022/2023. The results indicate that the quality of the developed product meets the criteria of validity, practicality, and effectiveness. This is proven by the validation results for the teaching module, where the average score given by the validators is 96.8%, indicating that it is categorized as highly valid. The analysis of the practicality aspect during the small-scale trial yielded scores ranging from 81% to 100%, meeting the criteria of being highly practical. The large-scale trial also indicates an average score of 100% with a highly practical rating. The effectiveness aspect was analyzed based on the students learning test results, which had an average score of 92.0%. In conclusion, with a realistic mathematics education approach, the emancipated curriculum-based mathematics teaching module is valid, practical, and effective for algebra material in seventh grade at SMPN 1 Kwandang. 
Co-Authors Agus Suryanto Agusyarif Rezka Nuha Ajiboye, Aminat Olabisi Amelia Tri Rahma Sidik Amelia Tri Rahma Sidik Anatasya Lahay Apon Ismail Armayani Arsal Asriadi Asriadi Asriadi Balogun, Ghaniyyat Bolanle Beay, Lazarus Kalvein Cabelita Husuna Darti, Isnani Datu, Pratiwi Ardin Daud, Sriwati M. Dewi Rahmawaty Isa DIAN SAVITRI Dian Savitri Djihad Wungguli Femy Mahmud Sahami Friansyah Gani G. S. Mahapatra Hadi Susanto Hamani, Mohamad Taufik Harto Malik Isnani Darti Isnani Darti Isran K Hasan K. Nasib, Salmun Kai, Ferawati Kusumahwinahyu, Wuryansari Muharini La Ode Nashar Lailany Yahya Lakoro, Tiara Lamuda, Zulfatra Lanto Ningrayati Amali Mahmud, Sri Lestari Muhammad Rezky F. Payu Ninik Wahju Hidajati NISKY IMANSYAH YAHYA Novianita Achmad Nurdia Walangadi Nurhayati Abbas Nurmardia Abdussamad, Siti Nurwan Nurwan Oguntolu, Festus Abiodun Omede, Benjamin Idoko P. K. Santra Perry Zakaria Peter, Olumuyiwa James Rahmi, Emli Rauf, Jayanti Resmawan Resmawan Revandi S. Pakaya Salmun K. Nasib Sarson W DJ Pomalato Sri Agustin Limalo Sri Lestari Mahmud Sri Lestari Mahmud Suaib A Siraj Suryanto, Agus Wuryansari Muharini Kusumahwinahyu Yayu Indriati Arifin