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Dynamics of a stage–structure Rosenzweig–MacArthur model with linear harvesting in prey and cannibalism in predator Beay, Lazarus Kalvein; Saija, Maryone
Jambura Journal of Biomathematics (JJBM) Volume 2, Issue 1: June 2021
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v2i1.10470

Abstract

A kind of stage-structure Rosenzweig–MacArthur model with linear harvesting in prey and cannibalism in predator is investigated in this paper. By analyzing the model, local stability of all possible equilibrium points is discussed. Moreover, the model undergoes a Hopf–bifurcation around the interior equilibrium point. Numerical simulations are carried out to illustrate our main results.
APLIKASI PERSAMAAN DIFERENSIAL PADA PENYEBARAN PENYAKIT BERBASIS SOFTWARE MAPLE UNTUK SISWA SMA NEGERI 3 AMBON Beay, Lazarus Kalvein; Wattimena, Abraham Zacaria; Lesnussa, Yopi Andry; Rahakbauw, Dorteus Lodewyik
PAKEM : Jurnal Pengabdian Kepada Masyarakat Vol 4 No 1 (2024): Pakem : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pakem.4.1.52-58

Abstract

Persamaan diferensial telah menjadi salah satu topik matematika yang menarik pada kemajuan ilmu pengetahuan dan teknologi. Salah satu bentuk aplikasinya, yaitu pada penyebaran penyakit menular. Pada kenyataannya, pembelajaran matematika di sekolah masih bersifat teoritis, sehingga pembelaran bermakna sulit tercapai. Materi matematika yang diberikan oleh guru sulit untuk dipahami oleh siswa karena bersifat abstrak. Hal ini mendorong pembelajaran untuk mengaplikasikan materi tentang persamaan diferensial pada kehidupan nyata di sekitar siswa. Selain itu, pesatnya kemajuan ilmu pengetahuan dan teknologi menuntut adanya kemampuan adaptasi dari siswa, guru, dan sekolah. Melalui kegiatan pengabdian ini, upaya adaptasi terhadap perkembangan ilmu pengetahuan dan teknologi dilakukan melalui peningkatkan kualitas pembelajaran pada SMA Negeri 3 Ambon. Kegiatan yang dilakukan meliputi upaya meningkatkan kemampuan siswa tentang penerapan materi persamaan differensial pada kehidupan nyata. Pada akhirnya, Software Maple digunakan untuk mendukung proses pembelajaran matematika.
Modeling of Abstinence Behavior on the Electoral Lists with Awareness Campaigns and Argumentative Schemes Beay, Lazarus Kalvein; Panigoro, Hasan S.; Rahmi, Emli; Savitri, Dian
Communication in Biomathematical Sciences Vol. 7 No. 2 (2024)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2024.7.2.4

Abstract

The most reasonable way to promote individual abstinence and increase voter turnout is through campaign interventions and schemes. Our paper introduces a deterministic model that captures the dynamics of citizens exercising their right to vote and the detrimental effect of abstainers on potential voters. The existence, basic reproductive number (R0) and local stability of abstinence behavior equilibrium points are determined by certain necessary conditions. The global stability of the abstaining-free point and abstaining point is achieved through the use of suitable Lyapunov functions. In addition, a sensitivity analysis of R0 was also performed. Moreover, we offer an ideal plan for an awareness program that supports politicians and officials in enhancing the registration rate of citizens on electoral lists with a level of effort. Our investigation reveals that utilizing the combination of an awareness campaign and argumentation schemes as time-dependent interventions drastically reduces abstention rates and greatly increases voter participation. By raising the values of awareness and registration rates, we can observe a decline in the basic reproductive number (R0). Our analytical results are supported by numerical simulations.
Dynamics of Alcohol Consumption Model with Public Awareness and Saturated Incidence Beay, Lazarus Kalvein; Saija, Maryone; Rijoly, Monalisa E.; Lesnussa, Yopi Andry; Talakua, Mozart Winston; Ilwaru, Venn Yan Ishak
Indonesian Journal of Computational and Applied Mathematics Vol. 1 No. 2: June 2025
Publisher : Gammarise Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64182/indocam.v1i2.14

Abstract

This article develops a mathematical model for studying the impact of public awareness and intervention strategies on alcohol consumption patterns. To protect populations from addiction, we are focusing on educational campaigns and interventions. Alcohol consumption cases decrease as the model variable awareness susceptible class is increased through awareness campaigns and interventions. The nonnegativity and boundedness of the model's solutions are analyzed. A qualitative analysis of the model's equilibrium points and the alcohol reproductive number, R0, was performed. Global stability was analyzed for alcohol consumption at the positive equilibrium point via a suitable Lyapunov function. When the alcohol reproductive number (R0) is less than one, the alcohol-free equilibrium is globally asymptotically stable; otherwise, it is unstable. Although educational campaigns protect vulnerable people, their impact on the model is substantial. The simulation shows that the intervention directly and drastically reduces the target alcoholic population.