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Malaysian Journal of Mathematical Sciences最新文献

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The Effect of Alternative Resource and Refuge on the Dynamical Behavior of Food Chain Model 替代资源和避难所对食物链模型动态行为的影响
IF 0.5
Malaysian Journal of Mathematical Sciences Pub Date : 2023-12-14 DOI: 10.47836/mjms.17.4.13
Z. M. Hadi, D. K. Bahlool
{"title":"The Effect of Alternative Resource and Refuge on the Dynamical Behavior of Food Chain Model","authors":"Z. M. Hadi, D. K. Bahlool","doi":"10.47836/mjms.17.4.13","DOIUrl":"https://doi.org/10.47836/mjms.17.4.13","url":null,"abstract":"This article examines and proposes a dietary chain model with a prey shelter and alternative food sources. It is anticipated that mid-predators' availability is positively correlated with the number of refuges. The solution's existence and exclusivity are examined. It is established that the solution is bounded. It is explored whether all potential equilibrium points exist and are locally stable. The Lyapunov approach is used to investigate the equilibrium points' worldwide stability. Utilizing a Sotomayor theorem application, local bifurcation is studied. Numerical simulation is used to better comprehend the dynamics of the model and define the control set of parameters.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"2005 22","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139001738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Decomposition of kth Order Slant Toeplitz Operators k 阶斜线托普利兹算子的分解
IF 0.5
Malaysian Journal of Mathematical Sciences Pub Date : 2023-12-14 DOI: 10.47836/mjms.17.4.14
K. P. Singh, M. P. Singh,, A. J. Sanasam,
{"title":"Decomposition of kth Order Slant Toeplitz Operators","authors":"K. P. Singh, M. P. Singh,, A. J. Sanasam,","doi":"10.47836/mjms.17.4.14","DOIUrl":"https://doi.org/10.47836/mjms.17.4.14","url":null,"abstract":"In this paper, we establish the block matrix decomposition of kth order slant Toeplitz operators. We also establish some relations between the compressions of kth order slant Toeplitz and kth order slant Hankel operators on H2. In the last section, we introduce the notion of kth order slant Toeplitz graphs.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"20 4","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139002798","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the 2-Token Graphs of Some Disjoint Union of Graphs 论某些不相连的图联盟的 2 标记图
IF 0.5
Malaysian Journal of Mathematical Sciences Pub Date : 2023-12-14 DOI: 10.47836/mjms.17.4.12
Y. Susanti,
{"title":"On the 2-Token Graphs of Some Disjoint Union of Graphs","authors":"Y. Susanti,","doi":"10.47836/mjms.17.4.12","DOIUrl":"https://doi.org/10.47836/mjms.17.4.12","url":null,"abstract":"The k-token graph of a given graph G, is the graph which vertex set consists of all k−\u0000subsets of the vertex set of G and two vertices are connected by an edge exactly when their difference corresponds to an edge of G. In this paper, we give a description on the structure of the 2-token graph of disjoint union of multiple graphs. This result complements the previous findings regarding the properties of the k-token graphs.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"166 3","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139002353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Pairing-free Provable Secure and Efficient Identity-based Identification Scheme with Anonymity 无配对可证明的安全高效匿名身份识别方案
IF 0.5
Malaysian Journal of Mathematical Sciences Pub Date : 2023-12-14 DOI: 10.47836/mjms.17.4.11
R. Kannan, J. J. Chin,, V. T. Goh, S. C. Yip
{"title":"A Pairing-free Provable Secure and Efficient Identity-based Identification Scheme with Anonymity","authors":"R. Kannan, J. J. Chin,, V. T. Goh, S. C. Yip","doi":"10.47836/mjms.17.4.11","DOIUrl":"https://doi.org/10.47836/mjms.17.4.11","url":null,"abstract":"In this paper, we propose a Blind Identity-Based Identification (Blind IBI) scheme based on the Guillou-Quisquater (GQ) scheme. Our proposed scheme combines the benefits of traditional Identity-Based Identification (IBI) schemes that can authenticate a user's identity without relying on a trusted third party with the Blind Signature (BS) scheme that provides anonymity. As a result, the proposed scheme assures absolute user privacy during the authentication process. It does not rely on a third party, yet the verifier can still be assured of the user's identity without the user actually revealing it. In our work, we show that the proposed scheme is provably secure under the random oracle model, with the assumption that the one-more-RSA-inversion problem is difficult. Furthermore, we demonstrate that the proposed scheme is secure against passive, active, and concurrent impersonation attacks. In conclusion, the proposed scheme is able to achieve the desired blindness property without compromising the security of the GQ-IBI scheme it is based upon.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"12 4","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139003068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Invariance Analysis and Closed-form Solutions for The Beam Equation in Timoshenko Model 季莫申科模型中梁方程的不变性分析和闭式解法
IF 0.5
Malaysian Journal of Mathematical Sciences Pub Date : 2023-12-14 DOI: 10.47836/mjms.17.4.05
S. M. Al-Omari,, Akhtar Hussain, Muhammad Usman, F. D. Zaman,
{"title":"Invariance Analysis and Closed-form Solutions for The Beam Equation in Timoshenko Model","authors":"S. M. Al-Omari,, Akhtar Hussain, Muhammad Usman, F. D. Zaman,","doi":"10.47836/mjms.17.4.05","DOIUrl":"https://doi.org/10.47836/mjms.17.4.05","url":null,"abstract":"Our research focuses on a fourth-order partial differential equation (PDE) that arises from the Timoshenko model for beams. This PDE pertains to situations where the elastic moduli remain constant and an external load, represented as F, is applied. We thoroughly analyze Lie symmetries and categorize the various types of applied forces. Initially, the principal Lie algebra is two-dimensional, but in certain noteworthy cases, it extends to three dimensions or even more. For each specific case, we derive the optimal system, which serves as a foundation for symmetry reductions, transforming the original PDE into ordinary differential equations. In certain instances, we successfully identify exact solutions using this reduction process. Additionally, we delve into the conservation laws using a direct method proposed by Anco, with a particular focus on specific classes within the equation. The findings we have presented in our study are indeed original and innovative. This study serves as compelling evidence for the robustness and efficacy of the Lie symmetry method, showcasing its ability to provide valuable insights and solutions in the realm of mathematical analysis.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"31 6","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138972005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Optimal System and Series Solutions of Fifth-Order Fujimoto-Watanabe Equations 论五阶藤本-渡边方程的最优系统和数列解
IF 0.5
Malaysian Journal of Mathematical Sciences Pub Date : 2023-12-14 DOI: 10.47836/mjms.17.4.03
B. Gwaxa, S. Jamal,, A. G. Johnpillai
{"title":"On the Optimal System and Series Solutions of Fifth-Order Fujimoto-Watanabe Equations","authors":"B. Gwaxa, S. Jamal,, A. G. Johnpillai","doi":"10.47836/mjms.17.4.03","DOIUrl":"https://doi.org/10.47836/mjms.17.4.03","url":null,"abstract":"This paper investigates the two fifth-order Fujimoto-Watanabe equations from the perspective of the group theoretic approach. We identify the reduced equations that lead to the solutions of these high order equations. Furthermore, the corresponding solutions are found by power series due to their nonlinear characteristics. As a result, the findings of the study demonstrate the convergence of solutions for such models and identifies the travelling wave solutions.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"27 18","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138975060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pricing Quanto Options in Renewable Energy Markets 可再生能源市场中广义期权的定价
IF 0.5
Malaysian Journal of Mathematical Sciences Pub Date : 2023-12-14 DOI: 10.47836/mjms.17.4.02
N. A. A. Arsat,, N. A. Ibrahim, C. M. I. C. Taib
{"title":"Pricing Quanto Options in Renewable Energy Markets","authors":"N. A. A. Arsat,, N. A. Ibrahim, C. M. I. C. Taib","doi":"10.47836/mjms.17.4.02","DOIUrl":"https://doi.org/10.47836/mjms.17.4.02","url":null,"abstract":"High level of greenhouse gases emission in fossil fuels has induced a significant transition from conventional energy sources to renewable energy. However, using renewable energy in electricity grids has limitations, such as intermittency and lack of efficient energy storage. This paper focuses on constructing the quanto options contract to help renewable energy producers hedge the risk against low photovoltaic (PV) production and electricity prices. To achieve our objective, we first model the interday PV power production with a combination of a deterministic and stochastic model. We analyse empirical data for daily solar production in three operators in Germany ranging from 1 January 2016 to 31 December 2020. We discovered that all estimated parameters of the deterministic process are highly significant. Meanwhile, we use an autoregressive (AR) process to describe the random behavior in the production. The results demonstrated that AR(2) is suitable enough to explain its stochastic factor. For the error terms analysis, we observed a clear sign of seasonal heteroskedasticity supported by the left skewed density. In addition, we observed a clear seasonal pattern in the squared error terms, where we suggest using seasonal variance and skewed normal distribution to describe its dynamic. As for an application, we embed the PV model in the power price modeling. We found that AR(3) process is sufficient to explain the price behavior and that normal distribution best fits the error terms. Using the suggested PV and power price model, we construct the quanto options contract for renewable energy producers using Monte Carlo simulations. We discovered that the electricity price payoffs are consistent throughout the year, whereas PV and quanto options payoffs vary greatly depending on the season. The quanto options price result shows that the prices vary during four seasons, with the highest variation in July.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"18 3","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138971005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Study of Families of Bistar and Corona Product of Graph: Reverse Topological Indices 图形的比斯塔和日冕积族研究：逆拓扑索引
IF 0.5
Malaysian Journal of Mathematical Sciences Pub Date : 2023-12-14 DOI: 10.47836/mjms.17.4.04
K. Gowtham, M. N. Husin,
{"title":"A Study of Families of Bistar and Corona Product of Graph: Reverse Topological Indices","authors":"K. Gowtham, M. N. Husin,","doi":"10.47836/mjms.17.4.04","DOIUrl":"https://doi.org/10.47836/mjms.17.4.04","url":null,"abstract":"In the field of cheminformatics, the amalgamation of graph theory, chemistry, along with technology facilitates the establishment of connections between the structural as well as physiochemical attributes of organic compounds by employing certain valuable graph invariants including the corresponding molecular graph. In this work, we examine reverse topological indices, for instance, the reverse Zagreb index, the reverse arithmetic-geometric, the geometric-arithmetic, the reverse Nirmala indices for the bistar graphs B(n;m) , the reverse sum-connectivity index, the reverse Sombor as well as the corona product of Km∘K′n.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"22 3","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138971836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a New Class of Impulsive η-Hilfer Fractional Volterra-Fredholm Integro-Differential Equations 论一类新的脉冲 η-Hilfer 分数 Volterra-Fredholm 积分微分方程
IF 0.5
Malaysian Journal of Mathematical Sciences Pub Date : 2023-12-14 DOI: 10.47836/mjms.17.4.10
F. M. Ismaael
{"title":"On a New Class of Impulsive η-Hilfer Fractional Volterra-Fredholm Integro-Differential Equations","authors":"F. M. Ismaael","doi":"10.47836/mjms.17.4.10","DOIUrl":"https://doi.org/10.47836/mjms.17.4.10","url":null,"abstract":"This work addresses the idea of the uniqueness and existence results for a class of boundary value problems (BVPs) for implicit Volterra-Fredholm integro-differential equations (V-FIDEs) with fractional η-Hilfer nonlinear equations and multi-point fractional boundary non-instantaneous conditions. The conclusions are confirmed by the fixed point of Krasnoselskii's theorem and the Banach contraction principle. Finally, a concrete example is given to illustrate our main conclusions.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"2 2","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139002564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Richardson Iterative Method for Solving Multi-Linear System with M-Tensor 用 M 张量求解多线性系统的理查森迭代法
IF 0.5
Malaysian Journal of Mathematical Sciences Pub Date : 2023-12-14 DOI: 10.47836/mjms.17.4.08
Y. Liang,, A. Ibrahim,, Z. Omar,
{"title":"Richardson Iterative Method for Solving Multi-Linear System with M-Tensor","authors":"Y. Liang,, A. Ibrahim,, Z. Omar,","doi":"10.47836/mjms.17.4.08","DOIUrl":"https://doi.org/10.47836/mjms.17.4.08","url":null,"abstract":"In this paper, Richardson iterative method is employed to solve M-Equation. In order to guarantee the solution can be found, convergence theorems are established and confirmed numerically. The optimal α, which is a parameter of Richardson iterative method that can provide the best convergence rate, is also determined theoretically and numerically. Furthermore, a theorem establishing the range of initial vector for general splitting methods is extended from the range in past study. To further accelerate the convergence rate, Anderson accelerator and three preconditioners are incorporated into Richardson iterative method. Numerical results reveal that by including these accelerators, the convergence rates are enhanced. Finally, we show that Richardson iterative methods with optimal α perform better than the SOR type methods in past studies in terms of number of iterative steps and CPU time.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":"58 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139001846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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