Indonesian Journal of Mathematics and Applications
The Indonesian Journal of Mathematics and Applications is a journal managed by Universitas Brawijaya, Malang, Indonesia, that is published twice a year (in March and September). IJMA is devoted to research articles of the highest quality in all areas of mathematics and its applications, statistics, and data science. The journal covers the following topics: Mathematical Analysis, Algebra, Biomathematics, Industrial Mathematics, Operasion Research, and Optimization, Data Sciences/Soft computing, Mathematical Physics, Financial Mathematics and Actuarial Sciences, Statictics. Upon its submission, the Editor-in-Chief decides on the suitability of the paper’s content for the aim and scope of the IJMA. If the Editor in Chief considers the paper is suitable, then the paper will be sent for peer reviewing by two peer reviewers. The Indonesian Journal of Mathematics and Applications maintains double anonymity, so neither the peer reviewers nor the author(s) can be identified by one another. The peer reviewers are respected scholars in the areas. The Indonesian Journal of Mathematics and Applications is an open access, peer-reviewed journal that considers articles describing novel computational algorithms and software, models and tools, including statistical methods, machine learning, and artificial intelligence, as well as systems biology.
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<![CDATA[Dynamics of Interaction of One Prey and Two Competing Predators with Population Heterogeneity ]]>
<![CDATA[Babu, Raveendra]]>;
<![CDATA[Wani, Imtiyaz Ahmad]]>
<![CDATA[ Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications (IJMA) ]]>
Publisher : <![CDATA[Universitas Brawijaya ]]>
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DOI: 10.21776/ub.ijma.2024.002.02.2
<![CDATA[A mathematical model of two predators competing for a single prey system incorporating population heterogeneity has been proposed and analyzed by extending the system of coupled logistic equations for three species system. The local stability analysis of all the equilibria has been carried out and also globally stable in Varies 2-D planes. Through the analytical results, it is observed that the interior equilibrium of one prey and two competing predators in prey dependent case is always unstable. At the end, discussed the dynamical behavior of a three species interaction with the help of some numerical examples by using MATLAB to support the analytical presentations.]]>
<![CDATA[Approximate and Exact Solution of Linear and Nonlinear Schrödinger Equation using Sawi Transform coupled with Homotopy Perturbation Method ]]>
<![CDATA[Olubanwo, Oludapo O.]]>;
<![CDATA[Adepoju, Julius]]>;
<![CDATA[Ajani, Abiodun Sufiat]]>;
<![CDATA[Idowu, Senayon Sunday]]>;
<![CDATA[Ifeyemi, Opeyemi]]>
<![CDATA[ Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications (IJMA) ]]>
Publisher : <![CDATA[Universitas Brawijaya ]]>
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DOI: 10.21776/ub.ijma.2024.002.02.1
<![CDATA[This study presents an approximate solution using the Sawi Transform Method for the Schrödinger equation. Four problems were considered to illustrate the Sawi Transform Homotopy perturbation Method’s (STHPM) effectiveness and capabilities. The equation below is subjected to the Sawi Transform combined with Homotopy Perturbation Method (STHPM). $i\frac{\partial}{\partial t}\\psi(z,t)+\Delta[\psi(z,t)]+N\psi(z,t)=0$ The results obtained are represented in a series of rapidly convergent terms.]]>
<![CDATA[Morphisms and Algebraic Points on the Quotients of the Fermat Quintic ]]>
<![CDATA[Fall, Moussa]]>
<![CDATA[ Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications (IJMA) ]]>
Publisher : <![CDATA[Universitas Brawijaya ]]>
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DOI: 10.21776/ub.ijma.2024.002.02.4
<![CDATA[The purpose of this paper is to determine morphisms and algebraic points of low degree on the quotients of the Fermat quintic. An algebraic point of degree at most $3$ is called an algebraic point of low degree. The quotients of the Fermat quintic is a family curves $\mathcal{C}_{rs}(5) : v^5 =u^r(u-1)^s$ where $r$ and $s$ are integers such that: $1< r, s, r+s< 5$. We determine explicitly the morphisms between the curves $\mathcal{C}_{rs}(5)$. By applying Abel Jacobi's theorem and using Riemann-Roch spaces, we give a parametrization of algebraic points of low degree on the special curve $\mathcal{C}_{1,1}(5)$. Birational morphisms allow us to determine the set of algebraic points of low degree on each curve of the family curves $\mathcal{C}_{rs}(5)$.]]>
<![CDATA[Stability Analysis of l-Power Reciprocal Functional Equation in Intuitionistic Fuzzy Banach Spaces ]]>
<![CDATA[Sadani, Idir]]>
<![CDATA[ Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications (IJMA) ]]>
Publisher : <![CDATA[Universitas Brawijaya ]]>
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DOI: 10.21776/ub.ijma.2024.002.02.5
<![CDATA[In this study, we explore the generalized Hyers-Ulam-Rassias stability of a l-power reciprocal functional equation in Intuitionistic Fuzzy Banach Spaces.]]>
<![CDATA[Ring of Weight Enumerator of Integer ]]>
<![CDATA[Azaliyah, Syarifatul]]>;
<![CDATA[Hamid, Nur]]>;
<![CDATA[Alghofari, Abdul Rouf]]>;
<![CDATA[Anam, Syaiful]]>
<![CDATA[ Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications (IJMA) ]]>
Publisher : <![CDATA[Universitas Brawijaya ]]>
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DOI: 10.21776/ub.ijma.2024.002.02.3
<![CDATA[ Invariant theory can be combined with coding theory to analyze the polynomial ring over its weight enumerator. For a certain class code, especially for self-dual doubly even code or type II code, the polynomials over its code satisfy the invarian condition. In this paper, we will show that the ring of the weight enumerator over integer of self-dual doubly even code $d_{48}^+$ cannot be ganerated by the weight enumerator of self-dual doubly even code with code length n=8, 16, 24, 32 and 40. ]]>
<![CDATA[Dynamics of Interaction of One Prey and Two Competing Predators with Population Heterogeneity ]]>
<![CDATA[Babu, Raveendra]]>;
<![CDATA[Wani, Imtiyaz Ahmad]]>
<![CDATA[ Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications ]]>
Publisher : <![CDATA[Universitas Brawijaya ]]>
Show Abstract
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Check in Google Scholar
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DOI: 10.21776/ub.ijma.2024.002.02.2
<![CDATA[A mathematical model of two predators competing for a single prey system incorporating population heterogeneity has been proposed and analyzed by extending the system of coupled logistic equations for three species system. The local stability analysis of all the equilibria has been carried out and also globally stable in Varies 2-D planes. Through the analytical results, it is observed that the interior equilibrium of one prey and two competing predators in prey dependent case is always unstable. At the end, discussed the dynamical behavior of a three species interaction with the help of some numerical examples by using MATLAB to support the analytical presentations.]]>
<![CDATA[Approximate and Exact Solution of Linear and Nonlinear Schrödinger Equation using Sawi Transform coupled with Homotopy Perturbation Method ]]>
<![CDATA[Olubanwo, Oludapo O.]]>;
<![CDATA[Adepoju, Julius]]>;
<![CDATA[Ajani, Abiodun Sufiat]]>;
<![CDATA[Idowu, Senayon Sunday]]>;
<![CDATA[Ifeyemi, Opeyemi]]>
<![CDATA[ Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications ]]>
Publisher : <![CDATA[Universitas Brawijaya ]]>
Show Abstract
|
Download Original
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Original Source
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Check in Google Scholar
|
DOI: 10.21776/ub.ijma.2024.002.02.1
<![CDATA[This study presents an approximate solution using the Sawi Transform Method for the Schrödinger equation. Four problems were considered to illustrate the Sawi Transform Homotopy perturbation Method’s (STHPM) effectiveness and capabilities. The equation below is subjected to the Sawi Transform combined with Homotopy Perturbation Method (STHPM). $i\frac{\partial}{\partial t}\\psi(z,t)+\Delta[\psi(z,t)]+N\psi(z,t)=0$ The results obtained are represented in a series of rapidly convergent terms.]]>
<![CDATA[Morphisms and Algebraic Points on the Quotients of the Fermat Quintic ]]>
<![CDATA[Fall, Moussa]]>
<![CDATA[ Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications ]]>
Publisher : <![CDATA[Universitas Brawijaya ]]>
Show Abstract
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DOI: 10.21776/ub.ijma.2024.002.02.4
<![CDATA[The purpose of this paper is to determine morphisms and algebraic points of low degree on the quotients of the Fermat quintic. An algebraic point of degree at most $3$ is called an algebraic point of low degree. The quotients of the Fermat quintic is a family curves $\mathcal{C}_{rs}(5) : v^5 =u^r(u-1)^s$ where $r$ and $s$ are integers such that: $1< r, s, r+s< 5$. We determine explicitly the morphisms between the curves $\mathcal{C}_{rs}(5)$. By applying Abel Jacobi's theorem and using Riemann-Roch spaces, we give a parametrization of algebraic points of low degree on the special curve $\mathcal{C}_{1,1}(5)$. Birational morphisms allow us to determine the set of algebraic points of low degree on each curve of the family curves $\mathcal{C}_{rs}(5)$.]]>
<![CDATA[Stability Analysis of l-Power Reciprocal Functional Equation in Intuitionistic Fuzzy Banach Spaces ]]>
<![CDATA[Sadani, Idir]]>
<![CDATA[ Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications ]]>
Publisher : <![CDATA[Universitas Brawijaya ]]>
Show Abstract
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DOI: 10.21776/ub.ijma.2024.002.02.5
<![CDATA[In this study, we explore the generalized Hyers-Ulam-Rassias stability of a l-power reciprocal functional equation in Intuitionistic Fuzzy Banach Spaces.]]>
<![CDATA[Ring of Weight Enumerator of Integer ]]>
<![CDATA[Azaliyah, Syarifatul]]>;
<![CDATA[Hamid, Nur]]>;
<![CDATA[Alghofari, Abdul Rouf]]>;
<![CDATA[Anam, Syaiful]]>
<![CDATA[ Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications ]]>
Publisher : <![CDATA[Universitas Brawijaya ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.21776/ub.ijma.2024.002.02.3
<![CDATA[ Invariant theory can be combined with coding theory to analyze the polynomial ring over its weight enumerator. For a certain class code, especially for self-dual doubly even code or type II code, the polynomials over its code satisfy the invarian condition. In this paper, we will show that the ring of the weight enumerator over integer of self-dual doubly even code $d_{48}^+$ cannot be ganerated by the weight enumerator of self-dual doubly even code with code length n=8, 16, 24, 32 and 40. ]]>
