Articles
<![CDATA[ANALISIS KESTABILAN MODEL POPULASI SATU MANGSA-DUA PEMANGSA DENGAN TAHAPAN STRUKTUR DAN PEMANENAN PADA PEMANGSA ]]>
<![CDATA[Rian Ade Pratama]]>;
<![CDATA[Markus Palobo]]>;
<![CDATA[Maria Fransina Veronica Ruslau]]>
<![CDATA[ MUSTEK Vol 8 No 03 (2019): MUSTEK ANIM HA ]]>
Publisher : <![CDATA[Universitas Musamus, Merauke, Papua ]]>
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<![CDATA[Jurnal ini membahas mengenai model populasi mangsa-pemangsa dengan tahapan struktur. Pengambangan model matematika untuk memprediksi keberlanjutan dari suatu populasi makhluk hidup. Dalam hal ini tahapan struktur terjadi pada pemangsa kecil dan pemangsa dewasa. Fungsi respon yang menjadi karakteristik dari pemangsa adalah dengan mengikuti fungsi respon Holling Type I yang sesuai dengan karakteristik pada ekosistem makhluk hidup. Pada model yang dibentuk tersebut di analisis tentang nilai equilibrium dan kestabilan nilai equilibrium yang paling mendekati. Analisis ini dilakukan dengan menghitung nilai yang ada kesetimbangan pada titik equiblibrium yang terbentuk sebagai produk. Metode pelinieran pada sistem titik equilibrium ini untuk mewujudkan nilai eigen yang akan membuat model tersebut memenuhi syarat kestabilan. Pada proses yang dilakukan diperoleh empat produk titik equilibrium. Setiap titik equilibrium tentu memiliki ciri dan karakteristik serta syarat yang unik. Kriteria Routh-Hurwitz menjadi karakteristik yang digunakan untuk menjelaskan karakteristik kestabilanya. Sementara interpretasi dari nilai eigen pada persamaan karakteristik juga mempertimbangakan persamaan karakteristik matriks Jacobi. Disini juga dianalisis dinamika perubahan pada kasus yang memungkinkan dalam ekosistem untuk dilakukan eksploitasi jangka panjang dan berkelanjutan.]]>
<![CDATA[Application of Beddington DeAngelis Response Function in Ecological Mathematical System: Study Fish Endemic Oliv Predator Species in Merauke ]]>
<![CDATA[Rian Ade Pratama]]>;
<![CDATA[Maria Fransina Veronica Ruslau]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
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DOI: 10.31764/jtam.v6i1.5340
<![CDATA[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. ]]>
<![CDATA[BIMBINGAN TERPADU OLIMPIADE SAINS NASIONAL BIDANG MATEMATIKA SISWA SMP NEGERI 2 MERAUKE ]]>
<![CDATA[Rian Ade Pratama]]>;
<![CDATA[Dessy Rizki Suryani]]>;
<![CDATA[Andi Saparuddin Nur]]>
<![CDATA[ Bahasa Indonesia Vol 17 No 01 (2020): Sarwahita : Jurnal Pengabdian Kepada Masyarakat ]]>
Publisher : <![CDATA[Lembaga Penelitian dan Pengabdian Kepada Masyarakat ]]>
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DOI: 10.21009/sarwahita.171.04
<![CDATA[Abstract This article discusses a new concept of complete guidance of the national science olympiad in the field of mathematics. This guidance is carried out periodically with the aim of providing new experiences for students in preparation for the 2020 national science olympiad. Assistance for national science olympiad guidance is carried out in three main steps. First, the results of observations made to discuss students and schools in the implementation of national science olympiad guidance at school. In this observation, an explanation was obtained about the school where the community service had not contributed to the national science olympiad five years ago. Second is the socialization stage. At this stage of socialization is the initial part made. The socialization consisted of the socialization of the national science olympiad guidebook and online technical guidance socialization with Edmodo application platform. Socialization is carried out in accordance with predetermined planning. The third is the evaluation stage. The evaluation stage is the final stage of the national science olympiad guidance. This final phase is fully supported in the implementation of integrated guidance. Evaluation of the National Science Olympiad book and evaluation of the use of Edmodo application in online guidance. The evaluation book consists of revised material that is suitable for junior high school level learning material and high-level evaluation material. Online tutoring evaluation is done by activating student guidance in online tutoring. Abstrak Artikel ini membahas tentang suatu konsep baru bimbingan terpadu olimpiade sains nasional dalam bidang matematika. Bimbingan ini dilakukan secara berkala dengan tujuan untuk memberikan pengalaman baru untuk siswa dalam persiapan olimiade sains nasional tahun 2020. Pelaksanaan bimbingan terpadu olimpiade sains nasional dilakukan dalam tiga tahapan utama. Pertama, adalah tahapan observasi yang dilakukan untuk mengetahui permasalahan siswa dan sekolah dalam pelaksanaan bimbingan olimpiade sains nasional disekolah. Pada observasi ini diperoleh penjelasan bahwa sekolah yang menjadi tempat pengabdian belum berkontribusi dalam olimpiade sains nasional pada lima tahun belakangan. Kedua adalah tahapan sosialisasi. Pada tahapan sosialisasi ini merupakan pengenalan awal prosedur bimbingan terpadu. Sosialisasi terdiri dari sosialisasi buku panduan olimpiade sains nasional dan sosialisasi teknis bimbingan online dengan platform aplikasi Edmodo. Sosialisasi dilakukan secara bertahap sesuai dengan perencanaan yang telah ditentukan. Ketiga adalah tahapan evaluasi. Tahapan evaluasi merupakan tahapan akhir dari bimbingan terpadu olimpiade sains nasional. Tahapan akhir ini mengevaluasi secara keseluruhan dalam pelaksanan bimbingan terpadu. Evaluasi buku olimpiade sains nasional dan evluasi penggunaan aplikasi Edmodo dalam bimbingan online. Evaluasi buku terdiri dari pemisahan materi yang sesuai dengan materi pembelajaran tingkat sekolah menengah pertama dan mengevaluasi seluruh kesalahan dalam penulisan-penulisan. Evaluasi bimbingan online dilakukan dengan mengaktifkan secara terjadwal aktifitas siswa dalam bimbingan online.]]>
<![CDATA[IMPACT OF FEAR BEHAVIOR ON PREY POPULATION GROWTH PREY-PREDATOR INTERACTION ]]>
<![CDATA[Rian Ade Pratama]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[PATTIMURA UNIVERSITY ]]>
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DOI: 10.30598/barekengvol16iss2pp371-378
<![CDATA[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.]]>
<![CDATA[Model Modifikasi Holling-Tanner dengan Interaksi Kanibalisme dan Sumber Makanan Alternatif pada Predator ]]>
<![CDATA[Rian Ade Pratama]]>;
<![CDATA[Dessy R Suryani]]>;
<![CDATA[Maria F V Ruslau]]>
<![CDATA[ Jurnal Sains Matematika dan Statistika Vol 8, No 2 (2022): JSMS Juli 2022 ]]>
Publisher : <![CDATA[Universitas Islam Negeri Sultan Syarif Kasim Riau ]]>
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DOI: 10.24014/jsms.v8i2.17356
<![CDATA[Penelitian ini mengkaji model pertumbuhan populasi model predator-prey Holling-Tonner yang dimodifikasi. Pertumbuhan model predator-prey yang dianalisis mengadopsi pertumbuhan logistik. Sementara pada fungsi pemangsaan mengikuti model Holling Type II. Variabel yang tidak kalah penting dalam penelitian ini adalah adanya sumber alternatif bagi predator. Konsep seperti ini sangat realistis untuk dipertimbangkan, mengingat banyak spesies predator yang berganti sumber makanan, dikarenakan sumber makanan yang terbatas. Analisis kestabilan dilakukan pada model untuk melihat keberlangsungan populasi dalam jangka waktu yang lama dengan tingkat interaksi yang sesuai. Dari empat titik equilibrium non-negatif yang dihasilkan pada model, pengujian kestabilan hanya dilakukan pada satu titik equilibrium. Secara matematis dilakukan uji Routh-Hurwitz, dengan matriks Jacobian yang bersesuaian. Simulasi numerik menjadi asumsi realistis awal bagi keberlangsungan hidup masing-masing spesies dan melihat karakter dari masing-masing spesies tersebut. Titik equilibrium yang dipilih menjadi pegujian pada kesetabilan asimtotik lokal dan kurva pertumbuhan. Kemungkinan adanya perpindahan sumber makanan sangat mungkin terjadi, sementara interaksi kanibalisme pada model yang dikembangkan tidak memberikan pengaruh yang signifikan pada masing-masing spesies. Kata Kunci: Kanibalisme, makanan alternatif dan Predator-Prey.]]>
<![CDATA[PENERAPAN REALISTIC MATHEMATICS EDUCATION (RME) DALAM MENINGKATKAN MINAT DAN PRESTASI BELAJAR MATEMATIKA ]]>
<![CDATA[Nurhayati Nurhayati]]>;
<![CDATA[Dessy Rizki Suryani]]>;
<![CDATA[Rian Ade Pratama]]>;
<![CDATA[Abdul Rachman Taufik]]>
<![CDATA[ Science Map Journal Vol 4 No 2 (2022): Science Map Journal ]]>
Publisher : <![CDATA[Jurusan Pendidikan MIPA FKIP Universitas Pattimura ]]>
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DOI: 10.30598/jmsvol4issue2pp67-73
<![CDATA[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]]>
<![CDATA[Hydra effects predator-prey bazykin's model with stage-structure and intraspecific for predator ]]>
<![CDATA[Rian Ade Pratama]]>;
<![CDATA[A. Muh. Amil Siddik]]>;
<![CDATA[Oswaldus Dadi]]>;
<![CDATA[Kasbawati Kasbawati]]>
<![CDATA[ Desimal: Jurnal Matematika Vol 5, No 3 (2022): Desimal: Jurnal Matematika ]]>
Publisher : <![CDATA[Universitas Islam Negeri Raden Intan Lampung ]]>
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DOI: 10.24042/djm.v5i3.13160
<![CDATA[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.]]>
<![CDATA[Fear and Group Defense Effect of a Holling Type IV Predator-Prey System Intraspecific Competition ]]>
<![CDATA[Rian Ade Pratama]]>;
<![CDATA[Martha Loupatty]]>;
<![CDATA[Hariyanto Hariyanto]]>;
<![CDATA[Wahyu Caesarendra]]>;
<![CDATA[Wahyu Rahmaniar]]>
<![CDATA[ Emerging Science Journal Vol 7, No 2 (2023): April ]]>
Publisher : <![CDATA[Ital Publication ]]>
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DOI: 10.28991/ESJ-2023-07-02-06
<![CDATA[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]]>
<![CDATA[ANALYSIS DINAMIC AND BIOECONOMIC OF A PREDATOR-PREY SYSTEM WITH MARINE NATIONAL PARK ]]>
<![CDATA[Rian Ade Pratama]]>;
<![CDATA[Candra Agus Wahyudi]]>
<![CDATA[ Jurnal Silogisme : Kajian Ilmu Matematika dan Pembelajarannya Vol 8, No 1 (2023): Juni ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Ponorogo ]]>
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DOI: 10.24269/silogisme.v8i1.6771
<![CDATA[In the study of fisheries or marine products in developing countries, the problem of managing marine resources is often faced. Excessive exploitation due to weak legal and supervisory sectors is the most frequently used factor. This research involves a predator-prey mathematical model and provides an intervention variable exploitation, namely harvest. Harvest is carried out on two types of species that inhabit two protected areas of the marine national park zone. One of the objectives of the exploitation variable is to provide benefits for harvesters, such as fishermen. Boundary areas in the marine national park zone and points of equilibrium are assigned to research wetting. Stability analysis using the Routh-Hurwitz criteria indicates the survival of the population. The predator-prey model formed resulted in seven non-negative equilibria, but only one equilibrium point met the research assumptions. Numerical simulations are also provided in trajectories from the initial model formation to the bionomic shape. The basic assumption is that harvesting is carried out in the marine national park zone harvesting is carried out only in a limited way. In the prey one population, more can be harvested in the region than the prey two population. Ecologically, the population of prey one lives in a larger carrying capacity area. In the predator-prey model system, the predator-prey model makes it possible to harvest populations that live in a wider area. The wider the area of the marine national park zone, the more it is permitted to carry out exploitation efforts, provided that it is still limited.]]>
<![CDATA[Pengaruh Strategi REACT Terhadap Kemampuan Berpikir Kritis Siswa SMA Negeri 4 Merauke ]]>
<![CDATA[Neneng Amabarwati]]>;
<![CDATA[Minuk Riyana]]>;
<![CDATA[Rian Ade Pratama]]>
<![CDATA[ Konstanta : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 1 No. 2 (2023): Juni : Jurnal Matematika dan Ilmu Pengetahuan Alam ]]>
Publisher : <![CDATA[Universitas Katolik Widya Karya Malang ]]>
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DOI: 10.59581/konstanta-widyakarya.v1i2.727
<![CDATA[This study aims to determine the effect of the implementation of the REACT strategy on critical thinking skills of SMA Negeri 4 Merauke students. This research was an experimental research design with pretest-posttest control group design, where the research was conducted, namely in SMA Negeri 4 Merauke. Hypothesis testing used homogeneity test. The implementation of the REACT strategy is seen through the acquisition of an average posttest score of 75.58 which was more than the average pretest score of 42.65 in the experimental class, with an increase in the moderate category of 0.5738 and based on a paired T-test sample with a sig value. (2-tailed) 0,000 <0.05 which means that there is a difference between the pretest and posttest, in other words the influence of the application of the use of REACT strategies to the critical thinking skills of SMA Negeri 4 Merauke students. Students' thinking skills are better in which students can solve critical thinking questions given in accordance with predetermined scoring indicators, students write what is known from the problems, students make mathematical models, students use strategies in solving problems and are able to make conclusions from solving the given problem. With the test results obtained by students almost weak on the average criteria of the analysis indicators.]]>
