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Department Of Mathematics Education, Universitas Musamus

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ANALISIS KESTABILAN MODEL POPULASI SATU MANGSA-DUA PEMANGSA DENGAN TAHAPAN STRUKTUR DAN PEMANENAN PADA PEMANGSA Rian Ade Pratama; Markus Palobo; Maria Fransina Veronica Ruslau
MUSTEK Vol 8 No 03 (2019): MUSTEK ANIM HA
Publisher : Universitas Musamus, Merauke, Papua

#### Abstract

Application of Beddington DeAngelis Response Function in Ecological Mathematical System: Study Fish Endemic Oliv Predator Species in Merauke Rian Ade Pratama; Maria Fransina Veronica Ruslau
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January

#### Abstract

Predator-prey type fishery models Oliv fish is a trans-endemic predator species that inhabits freshwater swamps and brackish water in Merauke, Papua. Maintaining the survival of the Oliv fish species is the main reason for compiling a mathematical model, so that it can be considered by local governments in making ecological policies. Method on model discussed is assembled with the growth of predator-prey populations following the growth of logistics. The response or predatory function corresponding to the behavior of endemic Oliv fish is the Beddington DeAngelis type. The growth of predatory species uses the concept of growth with stage structure, are divided into mature and immature. Research results show there are four equilibrium points of the mathematical model, but only one point becomes the asymptotic stable equilibrium point without harvesting W_4 (x^*,y^*,z^* )=92.823,1311.489,525.957 and equilibrium point with harvesting W_4 (x^*,y^*,z^* )=95.062,92.639,160.466 . Harvesting exploitation efforts are carried out by the community so that the harvesting variables are added with a proportional concept. Simulation of the results of the study shows a stable scheme and harvesting conducted can maintain the number of populations that continue.
BIMBINGAN TERPADU OLIMPIADE SAINS NASIONAL BIDANG MATEMATIKA SISWA SMP NEGERI 2 MERAUKE Rian Ade Pratama; Dessy Rizki Suryani; Andi Saparuddin Nur
Bahasa Indonesia Vol 17 No 01 (2020): Sarwahita : Jurnal Pengabdian Kepada Masyarakat
Publisher : Lembaga Penelitian dan Pengabdian Kepada Masyarakat

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IMPACT OF FEAR BEHAVIOR ON PREY POPULATION GROWTH PREY-PREDATOR INTERACTION Rian Ade Pratama
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

#### Abstract

Experiments on the living environment of vertebrate ecosystems, it has been shown that predators have a massive influence on the demographic growth rate of prey. The proposed fear effect is a mathematical model that affects the reproductive growth rate of prey with the Holling Type I interaction model. Mathematical analysis of the prey-predator model shows that a strong anti-predator response can provide stability for prey-predator interactions. The parameter area taken will be shown for the extinction of the prey population, the balance of population survival, and the balance between the prey birth rate and the predator death rate. Numerical simulations were given to investigate the biological parameters of the population (birth rate, natural mortality of prey, and predators). Another numerical illustration that is seen is the behavior of prey which is less sensitive in considering the risk of predators with the growth rate of prey.
Model Modifikasi Holling-Tanner dengan Interaksi Kanibalisme dan Sumber Makanan Alternatif pada Predator Rian Ade Pratama; Dessy R Suryani; Maria F V Ruslau
Jurnal Sains Matematika dan Statistika Vol 8, No 2 (2022): JSMS Juli 2022
Publisher : Universitas Islam Negeri Sultan Syarif Kasim Riau

#### Abstract

PENERAPAN REALISTIC MATHEMATICS EDUCATION (RME) DALAM MENINGKATKAN MINAT DAN PRESTASI BELAJAR MATEMATIKA Nurhayati Nurhayati; Dessy Rizki Suryani; Rian Ade Pratama; Abdul Rachman Taufik
Science Map Journal Vol 4 No 2 (2022): Science Map Journal
Publisher : Jurusan Pendidikan MIPA FKIP Universitas Pattimura

#### Abstract

This research is a classroom action research that aims to increase interest and achievement in learning mathematics through the application of an approach Realistic Mathematics Education (RME). This research has been conducted in two cycles with each cycle there are 4 meetings. The subjects in the study consisted of 20 students, namely 9 male students and 11 female students in grade VII SMP in Merauke. Data collection techniques used are test techniques for achievement data and non-test techniques for interest data. The results obtained are that students' interest in learning mathematics in the first cycle is 65% or 13 students are in the good or very good category and in the second cycle the student's interest is increased to 85% or 17 students are in the good or very good category. Student achievement in the first cycle who scored above or equal to 65 is 55% or 11 students who completed and in the second cycle student achievement increased by 80% or 16 students have reached the Minimum Completeness Criteria (KKM). Based on these results it can be said that the learning model of Realistic Mathematics Education (RME) can increase the interest and learning achievement of class VII
Hydra effects predator-prey bazykin's model with stage-structure and intraspecific for predator Rian Ade Pratama; A. Muh. Amil Siddik; Oswaldus Dadi; Kasbawati Kasbawati
Desimal: Jurnal Matematika Vol 5, No 3 (2022): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

#### Abstract

Bazykin's predator-prey population model is considered to represent the exchange stability condition of population growth. The existence of the hydra effect and, at the same time, analyzing its influence on population growth. The condition of the model divides the species into a stage structure, namely, prey, immature predators, and mature predators. The population growth of the three species has its own characteristics. This research revealed that the Holling type II and intraspecific predatory function responses together induce the Hydra effect. In the model formed, there are 12 equilibrium points, with details for every seven points of negative imaginary equilibrium and five points of non-negative equilibrium. The findings of research studies center on five points of non-negative equilibrium. All real roots that interpret the species population's growth conditions are taken and tested for long-term stability. The test results show one point of equilibrium that meets the Routh-Hurwitz criteria and their characteristic equations. In numerical simulations, the maximum sustained yield is in the local asymptotic stable state. The growth of prey trajectories increased significantly, although at the beginning of the interaction there was a slowdown in population growth. Meanwhile, the population of immature predators and mature predators was not significantly different. Both populations grow steadily toward the point of population stability. It turns out that the two populations grow inversely, the faster the rate of predation by predators, the faster the growth rate of the prey population.
Fear and Group Defense Effect of a Holling Type IV Predator-Prey System Intraspecific Competition Rian Ade Pratama; Martha Loupatty; Hariyanto Hariyanto; Wahyu Caesarendra; Wahyu Rahmaniar
Emerging Science Journal Vol 7, No 2 (2023): April
Publisher : Ital Publication

#### Abstract

Field and experimental data on aquatic ecosystem species show the effect of fear on changing prey demographics. The fear effect has an impact on aquatic ecosystems, such as species migration to settled areas. In this paper, the type of research described is a literature study. The cost effect assigned to the reproductive system of the prey population and the predation function response are given as Holling Type IV for research purposes to model the fear effect. Some research novelties, the equilibrium points are all shown in the population dynamics system model with an analysis of positive equilibrium. Positive and biologically realistic equilibrium points were analyzed using the Routh-Hurwitz criterion which is mathematically a local asymptotically stable. A pair of imaginary eigenvalues with a negative real part can increase population growth. An equilibrium region showing equilibrium for several parameters such as extinction, no predators, and two populations coexisting in a sustainable manner. The correlation and fluctuation of fear and fear cost were investigated to obtain a better model. The results of the numerical simulations show that the prey population becomes more daring to fight or fighting power with significant prey growth rates or high predator mortality rates. Doi: 10.28991/ESJ-2023-07-02-06 Full Text: PDF
ANALYSIS DINAMIC AND BIOECONOMIC OF A PREDATOR-PREY SYSTEM WITH MARINE NATIONAL PARK Rian Ade Pratama; Candra Agus Wahyudi
Jurnal Silogisme : Kajian Ilmu Matematika dan Pembelajarannya Vol 8, No 1 (2023): Juni