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Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Gorontalo Jl. Prof. Dr. Ing. B. J. Habibie, Moutong, Tilongkabila, Kabupaten Bone Bolango 96119, Gorontalo, Indonesia
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Jambura Journal of Biomathematics (JJBM)
Published by Universitas Negeri Gorontalo
ISSN : -     EISSN : 27230317     DOI : https://doi.org/10.34312/jjbm.v1i1
Core Subject : Science, Education,
Computer Science & IT Decision Sciences, Operations Research & Management Mathematics
Jambura Journal of Biomathematics (JJBM) aims to become the leading journal in Southeast Asia in presenting original research articles and review papers about a mathematical approach to explain biological phenomena. JJBM will accept high-quality article utilizing mathematical analysis to gain biological understanding in the fields of, but not restricted to Ecology Oncology Neurobiology Cell biology Biostatistics Bioinformatics Bio-engineering Infectious diseases Renewable biological resource Genetics and population genetics
Arjuna Subject : Matematika - Matematika Terapan
Articles 99 Documents
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Implementasi algoritma genetika dalam mengestimasi kepadatan populasi jackrabbit dan coyote Savitri, Dian; Hidajati, Ninik Wahju; Panigoro, Hasan S.
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; Yahya, Lailany; Pakaya, Revandi S.; Panigoro, Hasan S.; Nuha, Agusyarif Rezka
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.
Stability and bifurcation of a two competing prey-one predator system with anti-predator behavior Mukherjee, Debasis
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.v3i1.13820

Abstract

This article considers the impact of competitive response to interfering time and anti-predator behavior of a three species system in which one predator consumes both the competing prey species. Here one of the competing species shows anti-predator behavior. We have shown that its solutions are non-negative and bounded. Further, we analyze the existence and stability of all the feasible equilibria. Conditions for uniform persistence of the system are derived. Applying Bendixson's criterion for high-dimensional ordinary differential equations, we prove that the coexistence equilibrium point is globally stable under specific conditions. The system admits Hopf bifurcation when anti-predator behavior rate crosses a critical value. Analytical results are verified numerically.
Simulasi numerik model matematika untuk menganalisis relasi antara korupsi dan dinamika penyebaran penyakit menular Radja, Julieta B.A.; Ndii, Meksianis Zadrak
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.v3i1.14187

Abstract

A mathematical model has been widely used to understand complex phenomena in biology, social, and politics. A number of mathematical model has been formulated to understand infectious diseases or corruption phenomena. However, to the best of our knowledge, none of the work has has been conducted to investigate the relation of corruption and transmission dynamics of infectious diseases. In this work, a structured model in the form of system of differential equations has been formulated to investigate the relation between corruption and transmission dynamics of infectious diseases. In this work, a novel mathematical model has been formulated to investigate the relation between corruption and the transmission dynamics of infectious diseases. The results showed that in the presence of corruption the number of infections is higher compared to that in the absence of corruption. Although the implementation of public health intervention can reduce the number of infections, the presence of corruption can increase the disease incidence. This implies that corruption potentially hinder the effort for disease elimination. Numerical simulations showed that in the absence of corruption, the level of efficacy of public health intervention can reduce the number of infections. It showed that 80% efficacy level can eliminate the disease cases, which cannot be achieved in the presence of corruption. The results suggest that the corruption should be minimized in order to achieve disease elimination. When data becomes available, the model would be validated against the data.
Mathematical modelling for the transmission dynamics of Rift Valley fever virus with human host Oguntolu, Festus Abiodun; Yavalah, Deborah W.; Udom, Collins F.; Peter, Olumuyiwa James; Oshinubi, Kayode
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.v3i1.14160

Abstract

Rift Valley Fever (RVF) is a viral zoonosis spread primarily by mosquitos that primarily affects livestock but has the potential to affect humans. Because of its potential to spread quickly and become an epidemic, it has become a public concern. In this article, the transmission dynamics of RVF with mosquito, livestock and human host using a compartmental model is studied and analyzed. The basic reproduction number R0 is computed using next generation matrix and the disease-free equilibrium state is found to be locally asymptotically stable if R0 1 which implies that rift valley fever could be put under control in a population where the reproduction number is less than 1. The numerical simulations give insightful results to further explore the dynamics of the disease based on the effect of three interventions; efficacy of vaccination, culling of livestock and trapping of mosquitoes introduced in the model.
Estimasi time reproduction number penyebaran awal COVID-19 di Nusa Tenggara Timur, Indonesia Atti, Astri
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.v3i2.17652

Abstract

COVID-19 has become a threat to human life. Since the beginning of its spread, the number of deaths due to COVID-19 has reached millions of people and has spread throughout the world including East Nusa Tenggara. To understand the dynamics of the spread of COVID-19 is to use a mathematical model and the indicator used to measure the level of spread is the reproduction number. In this paper, the estimation of the reproduction number (time reproduction number) is carried out using the Extended Kalman Filter (EkF) technique. The data used is daily data for COVID-19 patients from August to October 2021. The estimation results show that the reproduction number of COVID-19 at the beginning of its spread is above one. This means that COVID-19 is spreading in the population.
Dynamic analysis of SEIR model for Covid-19 spread in Medan Sihaloho, Ruth Salisa; Nasution, Hamidah
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.v3i2.16878

Abstract

In this study, a mathematical model was studied on the population of the spread of Covid-19 in Medan which the model use an epidemic mathematical model, SEIR (Susceptible, Exposed, Infected, and Recovered). Next, we determine the basic reproduction number R0 using the next generation matrix and the equilibrium point which is analyzed using the Routh Hurwitz criteria. The disease-free equilibrium point is said to be locally asymptotically stable if R01 and the endemic equilibrium point is said to be locally asymptotically stable if R01. Numerical simulation of the model was carried out using real data on the number of Covid-19 cases in Medan and with the help of Maple software. Through the data obtained, the value of R01 indicates that Covid-19 at the time of the study was still contagious to other individuals. Furthermore, based on the simulation formed from the SEIR model with the given initial and parameters, it was found that the greater the contact rate or the transmission rate, the more spread the disease would be and the smaller the cure rate, the more the disease would spread.
Dynamics of a predator-prey model incorporating infectious disease and quarantine on prey Lahay, Anatasya; Payu, Muhammad Rezky Friesta; Mahmud, Sri Lestari; Panigoro, Hasan S; Zakaria, Perry
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.
Fear induced dynamics on Leslie-Gower predator-prey system with Holling-type IV functional response Mukherjee, Debasis
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.v3i2.14348

Abstract

This paper analyzes the effect of fear in a Leslie-Gower predator-prey system with Holling type IV functional response. Firstly, we show positivity and boundedness of the system. Then we discuss the structure of the positive equilibrium point, dynamical behavior of all the steady states and long term survival of all the populations in  the system. It is shown that fear factor has an impact on the prey and predator equilibrium densities. We have shown the occurrence of transcritical bifurcation around the axial steady state. The presence of a Hopf bifurcation near the interior steady state has been developed by choosing the level of fear as a bifurcation parameter. Furthermore, we discuss the character of the limit cycle generated by Hopf bifurcation. A global stability criterion of the positive steady state point is derived. Numerically, we checked our analytical findings.
The existence of Neimark-Sacker bifurcation on a discrete-time SIS-Epidemic model incorporating logistic growth and allee effect Sidik, Amelia Tri Rahma; Panigoro, Hasan S.; Resmawan, Resmawan; Rahmi, Emli
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

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