A Stage-Structure Rosenzweig-MacArthur Model with Effect of Prey Refuge

We proposed and analyzed a stage-structure Rosenzweig-MacArthur model incorporating a prey refuge.  It is assumed that the prey is a stage-structure population consisting of two compartments known as immature prey and mature prey. The model incorporates the functional response Holling type-II. In this work, we investigate all the biologically feasible equilibrium points, and it is shown that the system has three equilibrium points. Sufficient conditions for the local stability of the non-negative equilibrium point of the model are also derived. All points are conditionally locally asymptotically stable. By constructing Jacobian matrix and determined eigenvalues, we analyzed the local stability of the trivial equilibrium and non-predator equilibrium points. Specifically for coexistence equilibrium point, Routh-Hurwitz criterion used to analyze local stability. In addtion, we investigated the effect of immature prey refuge. Our mathematical analysis exhibits that immature prey refuge have played a crucial role in the behavioral system. When the effect of immature prey refuge (constant m) increases, it is can stabilize non-predator equilibrium point, where all the species can not exists together. And conversely, if contant m decreases, it is can stabilize coexistence equilibrium point then all the species can exists together. The work is completed with a numerical simulation to confirmed analitical result

Dynamics of a stage–structure Rosenzweig–MacArthur model with linear harvesting in prey and cannibalism in predator

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

LKM Berbasis Inkuiri Terbimbing Untuk Meningkatkan Pemahaman Konseptual dan Motivasi Belajar Kimia

Penelitian ini dilakukan dengan tujuan untuk menginvestigasi pengaruh penerapan Lembar Kerja Mahasiswa (LKM) Berbasis Inkuiri Terbimbing terhadap pemahaman konseptual dan motivasi belajar mahasiswa. Sampel penelitian adalah mahasiswa pada Jurusan Pendidikan MIPA STKIP Gotong Royong Masohi yang mengambil mata kuliah Kimia Dasar 1 berjumlah 107. Penelitian ini menggunakan quasi eksperimen dengan rancangan posttest only control group. Kelompok eksperimen menggunakan LKM berbasis inkuiri terbimbing (n=55) dan kelompok kontrol yang belajar menggunakan LKM tradisional (n=52). Hasil penelitian ini menunjukan bahwa (1) LKM berbasis inkuiri dapat meningkatkan pemahaman konsep mahasiswa, terlihat dalam perolehan mean skor posttest mahasiswa dalam kelompok eksperimen dan kelompok kontrol secara berturut-turut adalah 74.09 dan 65.73, selisih lebih besar 8.36 untuk kelompok eksperimen; dan (2) LKM berbasis inkuiri terbimbing dapat menumbuhkan motivasi belajar mahasiswa

PROBLEM SOLVING VIRTUAL LABORATORY WITH SCIENTIFIC WRITING ABILITY TO IMPROVE STUDENTS' SCIENTIFIC LITERACY SKILLS

Chemistry learning involves students in the practice of science in the classroom and the laboratory. Online learning has become a necessity in the world of education since the Covid-19 pandemic. Virtual practicum is needed to support learning. This study aims to see the effectiveness of problem solving virtual laboratory learning with scientific writing to improve students' literacy skills. The research design was a quasi-experimental pretest-posttest control group. The research sample was 140 students of class XI SMA Negeri in Indonesia. It consisted of 70 students in the experimental group who used problem solving virtual laboratory learning with scientific writing; and 70 students in the control group with learning without virtual experiments. The scientific literacy instrument test with 7 valid items and Cronbach's Alpha reliability value of 0.869. The data were analyzed by ANCOVA because the research data were normally distributed and homogeneous. The results showed that problem solving virtual laboratory learning with scientific writing succeeded in increasing students' scientific literacy skills significantly with a large effect size. Descriptive analysis of post-test results, that students who reached a high level in the experimental class more than the control class. This research implies that learning chemistry needs to integrate virtual experiments and practice scientific writing skills to improve students' scientific literacy skills

Keefektifan Program Pembelajaran Kimia Dasar : Evaluasi Model CIPP Pada Jurusan MIPA STKIP Gotong Royong Masohi

Penelitian ini membahas untuk mempelajari penerapan model evaluasi CIPP dan perbedaan hasil belajar siswa pada mata kuliah Kimia Dasar sebelum dan sesudah perbaikan program pembelajaran. Subjek penelitian terdiri dari 2 dosen pengampu mata kuliah dan 73 mahasiswa Jurusan Pendidikan MIPA-STKIP Gotong Royong Masohi. Pengumpulan data pada setiap proses evaluasi model pembelajaran CIPP menggunakan instrumen panduan wawancara; panduan observasi; lembar penilaian proses; dan studi dokumen. Data hasil penelitian dideskripsikan dalam bentuk naratif. Berdasarkan hasil penelitian dapat disimpulkan dari proses pembelajaran Kimia Dasar di STKIP Gotong Royong Masohi, disetujui telah cukup efektif, dengan beberapa perbaikan sebagai bentuk umpan balik dari hasil penelitian produk Efektifitas program pembelajaran setelah perbaikan dapat dilihat dari peningkatan jumlah nilai akhir (predikat A, B, dan C) mahasiswa. Berdasarkan nilai KKM 60, maka dapat disimpulkan bahwa belajar untuk kelas Biologi sebanyak 40 siswa atau 95,23%, sedangkan untuk kelas Matematika sebanyak 29 siswa atau sebesar 93,55%

Application of the Spatial Regression Model to Analyze Factors that Influence the Human Development Index (HDI) in West Papua Province

Indeks Pembangunan Manusia merupakan suatu angka yang bertujuan untuk melihat kinerja pembangunan wilayah dengan dimensi yang luas. Provinsi Papua Barat merupakan salah satu provinsi yang IPM terus meningkat setiap tahunnya, meskipun terus mengalami peningkatan, Provinsi Papua Barat tetap menduduki peringkat ke-2 indeks pembangunan manusia terendah di Indonesia. Untuk terus meningkatkan indeks pembangunan manusia di Provinsi Papua Barat perlu diketahui faktor-faktor mengetahui yang mempengaruhinya, salah satu cara yang digunakan untuk menentukannya yaitu dengan pemodelan regresi. Pada penelitian ini dilakukan analisis regresi untuk mendapatkan informasi pengamatan yang dipengaruhi efek lokasi. Hasil penelitian ini menunjukan bahwa pemodelan menggunakan SAR lebih baik dibandingkan menggunkan OLS. Model SAR menghasilkan nilai koefisien determinasi  sebesar 0.987126 lebih besar dari model OLS yaitu 0.982664 dan nilai AIC dari model SAR sebesar 40.3641 lebih kecil dibandingkan model OLS yaitu 44.1147

A Stage-structure Leslie-Gower Model with Linear Harvesting and Disease in Predator

The growth dynamics of various species are affected by various aspects. Harvesting interventions and the spread of disease in species are two important aspects that affect population dynamics and it can be studied. In this work, we consider a stage-structure Leslie–Gower model with linear harvesting on the both prey and predator. Additionally, we also consider the infection aspect in the predator population. The population is divided into four subpopulations: immature prey, mature prey, susceptible predator, and infected predator. We analyze the existences and stabilities of feasible equilibrium points. Our results shown that the harvesting in prey and the disease in predator impacts the behavioral of system. The situation in the system is more complex due to disease in the predator population. Some numerical simulations are given to confirm our results

Dinamika Penyebaran Campak Dengan Pangaruh Migrasi

Migrasi merupakan salah satu parameter penting dalam penyebaran penyakit, tak terkecuali campak. Penelitian ini bertujuan mengkaji pengaruh parameter imigrasi dan emigrasi pada penyebaran campak. Metode yang digunakan yaitu studi literatur untuk menentukan variabel dan parameter yang digunakan untuk mendesain model. Data yang digunakan untuk simulasi adalah data sekunder yang diperoleh dari penelitian-penelitian sebelumnya. Dengan menentukan bilangan reproduksi dasar, dapat dilakukan analisa terhadap parameter migrasi pada penyebaran campak. Hasil simulasi menunjukkan bahwa bilangan reproduksi dasar dari model monoton naik ketika imigrasi meningkat. Selain itu, bilangan reproduksi dasar dari model monoton turun ketika emigrasi meningkat. Hasil tersebut menunjukkan bahwa migrasi yang terjadi dalam populasi memiliki pengaruh pada penyebaran campak

Dynamical Analysis of a Modified Epidemic Model with Saturated Incidence Rate and Incomplete Treatment

This paper addresses a modified epidemic model with saturated incidence and incomplete treatment. The existence of all equilibrium points is analyzed. A reproduction number R0 is determined. Next, it is found that the non-endemic point P0 is stable in case R0<1, but unstable in case R0>1. The special conditions to analyze the local and global stability of the non-endemic and endemic points are investigated. Globally, the sensitivity analysis of the system is studied by combining the Latin Hypercube Sampling and Partial Rating Correlation Coefficients methods. By using the Pontryagins maximum principle, the optimal control problem is studied. Various numerical results are given to support our analysis

Dynamical Analysis of a Modified Epidemic Model with Saturated Incidence Rate and Incomplete Treatment

This paper addresses a modified epidemic model with saturated incidence and incomplete treatment. The existence of all equilibrium points is analyzed. A reproduction number R0 is determined. Next, it is found that the non-endemic point P0 is stable in case R01, but unstable in case R0>1. The special conditions to analyze the local and global stability of the non-endemic and endemic points are investigated. Globally, the sensitivity analysis of the system is studied by combining the Latin Hypercube Sampling and Partial Rating Correlation Coefficients methods. By using the Pontryagins maximum principle, the optimal control problem is studied. Various numerical results are given to support our analysis