Emli Rahmi

Emli Rahmi
State University of Gorontalo | UNG · Department of Mathematics

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37
Publications
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202
Citations

Publications

Publications (37)
Article
Full-text available
A portfolio is a collection of financial assets in the stocks owned by a company or individual. An optimal portfolio is a selected portfolio that aligns with the investor's preferences, drawn from a set of efficient portfolios that have been formed. This research aims to create an optimal portfolio using the Multi-Objective Optimization method and...
Article
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With its complex topography, Gorontalo Province experiences significant rainfall variations that impact the agricultural sector, particularly rice crops. These variations can cause substantial losses for farmers. One way to address uncertain probabilities caused by rainfall is through agricultural insurance. This research aims to calculate the valu...
Article
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This paper studies the implementation of the K-Nearest Neighbor (KNN) algorithm on Density-Based Spatial Clustering Application with Noise (DBSCAN) method on stunting Clustering in the eastern region of Indonesia in 2022. The DBSCAN method is used because it is more efficient to perform the Clustering process for irregular Clustering shapes. The ma...
Article
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The harvesting of population has a dominant influence in balancing the ecosystem. In this manuscript, the impact of harvesting in addition to competition, and memory effect on a prey-predator interaction following the Lotka-Volterra model is studied. The mathematical validation is provided by proofing that all solutions of the model are always exis...
Article
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This article formulates and analyzes the COVID‐19 transmission model on West Java by considering the health protocol implementation level on three different clusters. The transmission possibilities are classified into three clusters based on the society's daily activities, including (1) retailing, (2) transit, and (3) recreation. The model was cons...
Article
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An eco-epidemiological model involving competition regarding the predator and quarantine on infected prey is studied. The prey is divided into three compartments, namely susceptible, infected, and quarantine prey, while the predator only attacks the infected prey due to its weak condition caused by disease. To include the memory effect, the Caputo...
Article
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Monkeypox virus is primarily transferred to humans via wild animals including rodents and more often the transmission ensues between humans to humans. This disease has been neglected in the past and little effort has been made by research to study the dynamics of the disease. This paper aims to use a fractional stochastic modeling approach to inves...
Article
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Modeling the interaction between prey and predator plays an important role in maintaining the balance of the ecological system. In this paper, a discrete-time mathematical model is constructed via a forward Euler scheme, and then studied the dynamics of the model analytically and numerically. The analytical results show that the model has two fixed...
Preprint
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A mathematical model of an interaction between two populations namely prey and predator is studied based on a Gause-type predator-prey model involving the additive Allee effect and intraspecific competition on the predator. A famous fractional operator called Atangana-Baleanu-Caputo fractional derivative (ABC) is employed to integrate the impact of...
Article
Full-text available
In this paper, a fractional order of a modified Leslie-Gower predator-prey model with disease and the double Allee effect in predator population is proposed. Then, we analyze the important mathematical features of the proposed model such as the existence and uniqueness as well as the non-negativity and boundedness of solutions to the fractional-ord...
Article
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The complexity of the dynamical behaviors of interaction between prey and its predator is studied. The prey and predator relationship involves the age structure and intraspecific competition on predators and the nonlinear harvesting of prey following the Michaelis–Menten type term. Some biological validities are shown for the constructed model such...
Article
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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 s...
Article
Full-text available
Infectious disease and competition play important roles in the dynamics of a population due to their capability to increase the mortality rate for each organism. In this paper, the dynamical behaviors of a single species population are studied by considering the existence of the infectious disease, intraspecific competition, and interspecific compe...
Chapter
This paper discusses the impact of fear and strong Allee on the dynamical behaviors of the prey and predator relationship following the Rosenzweig-MacArthur model using fractional-order derivative as the operator. As results, four equilibrium points are identified namely the origin point, a pair of axial points, and the interior point. The origin i...
Conference Paper
Full-text available
Allee effect and harvesting are two important objects in the ecological system since they are directly connected to the existence of biological resources. Here, we study the impact of the strong Allee effect in prey and Michaelis-Menten type of harvesting in predators on the dynamics of a Gause-type predator-prey model. To involve the influence of...
Conference Paper
We consider a Leslie-Gower model with the Beddington-DeAngelis functional response, Allee effect, and Caputo fractional order derivative. We first establish the existence, uniqueness, non-negativity, and boundedness of solutions to confirm the biological feasibility of the model. Moreover, the Lyapunov direct method including the generalized LaSall...
Article
Full-text available
This paper studies an interaction between one prey and one predator following Lotka-Volterra model with additive Allee effect in predator. The Atangana-Baleanu fractional-order derivative is used for the operator. Since the theoretical ways to investigate the model using this operator are limited, the dynamical behaviors are identified numerically....
Article
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In this article, the dynamical behaviors of a discrete-time fractional-order Rosenzweig-MacArthur model with prey refuge are studied. The piecewise constant arguments scheme is applied to obtain the discrete-time model. All possible fixed points and their existence conditions are investigated as well as the local behavior of nearby solutions in var...
Article
Full-text available
In this paper, a modified Leslie–Gower predator-prey model with Beddington–DeAngelis functional response and double Allee effect in the growth rate of a predator population is proposed. In order to consider memory effect on the proposed model, we employ the Caputo fractional-order derivative. We investigate the dynamic behaviors of the proposed mod...
Article
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In this paper, we study the dynamics of a discrete fractional-order logistic growth model with infectious disease. We obtain the discrete model by applying the piecewise constant arguments to the fractional-order model. This model contains three fixed points namely the origin point, the disease-free point, and the endemic point. We confirm that the...
Article
Full-text available
This article studies the dynamics of a Gause-type predator-prey model with infectious disease in the prey. The constructed model is a deterministic model which assumes the prey is divided into two compartments i.e. susceptible prey and infected prey, and both of them are hunted by predator bilinearly. It is investigated that there exist five biolog...
Conference Paper
Full-text available
In this paper, the dynamics of a fractional-order Leslie-Gower model with Allee effect in predator is investigated. Firstly, we determine the existing condition and local stability of all possible equilibrium points. The model has four equilibrium points, namely both prey and predator extinction point, the prey extinction point, the predator extinc...
Article
Full-text available
In this article, we analyze the dynamics of measles transmission model with vaccination via an SVEIR epidemic model. The total population is divided into five compartments, namely the Susceptible, Vaccinated, Exposed, Infected, and Recovered populations. Firstly, we determine the equilibrium points and their local asymptotically stability propertie...
Article
Full-text available
Infectious disease has an influence on the density of a population. In this paper, a fractional-order logistic growth model with infectious disease is formulated. The population grows logistically and divided into two compartments i.e. susceptible and infected populations. We start by investigating the existence, uniqueness, non-negativity, and bou...
Article
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Dinamika model Leslie-Gower dengan fungsi respon ratio-dependent yang didiskretisasi menggunakan skema Euler maju adalah fokus utama pada artikel ini. Analisis diawali dengan mengidentifikasi eksistensi dari titik ekuilibrium dan kestabilan lokalnya. Diperoleh empat titik ekuilibrium yaitu titik kepunahan kedua populasi dan titik kepunahan predator...
Article
Full-text available
The dynamics of predator-prey model with infectious disease in prey and harvesting in predator is studied. Prey is divided into two compartments i.e the susceptible prey and the infected prey. This model has five equilibrium points namely the all population extinction point, the infected prey and predator extinction point, the infected prey extinct...
Article
Full-text available
In this paper, the influence of additive Allee effect in prey and periodic harvesting in predator to the dynamics of the Leslie-Gower predator-prey model is proposed. We first simplify the model to the non-dimensional system by scaling the variable and transform the model into an autonomous system. If the effect Allee is weak, we have at most two e...
Preprint
Full-text available
Abstrak Pada penelitian ini akan dibahas tentang model Eko-epidemiologi. Dalam model ini ter-dapat tiga sub-populasi yang saling berinteraksi yaitu prey rentan (x S), prey terinfeksi (x I) dan predator (y). Penelitian ini bertujuan untuk mengetahui formulasi model Eko-epidemiologi dengan pemanenan proporsional pada predator, mengetahui titik ekuili...
Article
Full-text available
Penelitian ini dilakukan untuk menganalisis kestabilan model eko-epidemiologi dengan pemanenan konstan terhadap predator. Populasi dalam model terbagi atas tiga populasi yaitu populasi prey rentan populasi prey terinfeksi , dan populasi predator . Dikonstruksi model eko-epidemiologi dengan pemanenan konstan terhadap predator. Diperoleh dua titik ke...
Conference Paper
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Pada makalah ini dipelajari dinamik dari Sistem Predator-Prey Model Leslie-Gower dengan mengasumsikan bahwa daya dukung dari prey berubah terhadap waktu. Perubahan daya dukung dari prey yang dimaksud yaitu daya dukung dari populasi tidak konstan, namun bergantung terhadap waktu dengan daya dukung tumbuh secara logistik. Analisis Awal dimulai dengan...
Conference Paper
Full-text available
Makalah ini mempelajari tentang model pertumbuhan logistik yang dikenal dengan model verhulst. Diasumsikan bahwa populasi pada model ini mengalami efek allee dalam hal ini efek allee kuat. Selain itu, diasumsikan bahwa terjadi pemanenan secara proposional terhadap populasi. Analisis yang dilakukan adalah analisis kualitatif yang mempelajari dinamik...

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