International Journal of Mathematical Sciences and Computing最新文献_第2页

Integration based on Monte Carlo Simulation 基于蒙特卡罗仿真的集成

International Journal of Mathematical Sciences and Computing Pub Date : 2023-08-08 DOI: 10.5815/ijmsc.2023.03.05

Priyanshi Mishra, Pramiti Tewari, Dhananjay R. Mishra, Pankaj Dumka

引用次数: 0

Blockchain: A Comparative Study of Consensus Algorithms PoW, PoS, PoA, PoV 区块链:共识算法PoW、PoS、PoA、PoV的比较研究

International Journal of Mathematical Sciences and Computing Pub Date : 2023-08-08 DOI: 10.5815/ijmsc.2023.03.04

Shahriar Fahim, SM Katibur Rahman, Sharfuddin Mahmood

引用次数: 0

Design and Development of Multidimensional Chaotic Maps with Genetic Operator 基于遗传算子的多维混沌映射的设计与开发

International Journal of Mathematical Sciences and Computing Pub Date : 2023-08-08 DOI: 10.5815/ijmsc.2023.03.02

Sudeep Nooly B, Ravindra S

{"title":"Design and Development of Multidimensional Chaotic Maps with Genetic Operator","authors":"Sudeep Nooly B, Ravindra S","doi":"10.5815/ijmsc.2023.03.02","DOIUrl":"https://doi.org/10.5815/ijmsc.2023.03.02","url":null,"abstract":"Security of a digital image can be achieved in number of ways including image Encryption and Decryption. Encryption technique tries to convert a plain image into the cipher image which is hard to understand. The decryption technique tries to convert a cipher image into the plain image. The image encryption is done inorder to provide security from attacks. In this work we aim to develop an image encryption technique based on multidimensional chaotic map with genetic operator. One of the powerful features of genetic operator is crossover which is used to confuse the pixels of the image. A combination of multidimensional chaotic maps, namely, Logistic, Henon and Chebyshev will be used to generate pseudorandom sequence which will be XOR'ed to obtain an unpredictable sequence. This sequence will be then applied to the Crossover unit and upon XOR'ed to obtain an encrypted image. Later the same upredictable sequence is generated while decrypting the image. By combining the entire different dimensional chaotic map namely Logistic, Henon, Chebyshev map along with the gentic operator called crossover will enhance the extra security to the digital image.","PeriodicalId":492114,"journal":{"name":"International Journal of Mathematical Sciences and Computing","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135840219","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

Stability Analysis of COVID-19 Model with Quarantine 带隔离的COVID-19模型稳定性分析

International Journal of Mathematical Sciences and Computing Pub Date : 2023-08-08 DOI: 10.5815/ijmsc.2023.03.03

Oladipupo S. Johnson, Helen O. Edogbanya, Jacob Emmanuel, Seyi E. Olukanni

{"title":"Stability Analysis of COVID-19 Model with Quarantine","authors":"Oladipupo S. Johnson, Helen O. Edogbanya, Jacob Emmanuel, Seyi E. Olukanni","doi":"10.5815/ijmsc.2023.03.03","DOIUrl":"https://doi.org/10.5815/ijmsc.2023.03.03","url":null,"abstract":"In this paper, A 6 (six) compartmental (S, IU, IS, IA, Q, R) model was presented to examine the dynamical behavior of disease transmission in the system with quarantine effect on the symptomatic infected, asymptomatic infected and Reproduction number R0 within a given population. The parameters model was analyzed and estimated experimentally using the real data of COVID-19 confirmed cases for Ethiopia via MATLAB 2021a. Reproduction number R0 which is a key indicator to whether a disease outbreak spread force will persist or die out within population. R0 was found using the next generation matrix with Gaussian elimination method to obtain the inverse of the transitive matrix. The model also aims at reducing R0 owning to the fact that when the basic reproduction number is less than 1 infected person, disease dies out and when the reproduction number is greater than 1 infected person, the disease persists. The facts about R0 geared us to mathematically check for the Routh-Hurwitz stability criteria and Lyapunov Functions to concisely establish the necessary and sufficient conditions for the Local and Global stability of model. results show that, when R0 < 1 and R0 > 1 the diseases free equilibrium and endemic equilibrium points are locally and globally asymptotically stable respectively. In order to interpret results and recommend possible control measure of disease, The dynamics of the Quarantine compartment in model was tested via sensitivity analysis to experimentally investigate transition/ transmission pattern. The effect of quarantine analysis on the model shows that preventive measures such as increase in quarantine with treatments during disease outbreak will significantly decrease the Reproduction number. Hence, increase in Quarantine compartment will flatten the curve of (S, IU, IS, IA, Q, R) dynamic model correspondingly.","PeriodicalId":492114,"journal":{"name":"International Journal of Mathematical Sciences and Computing","volume":"37 8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135840220","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 number of Perfect Matchings of Tubular Fullerene Graphs 管状富勒烯图的完美匹配数

International Journal of Mathematical Sciences and Computing Pub Date : 2023-08-08 DOI: 10.5815/ijmsc.2023.03.01

Yanfei Ma

{"title":"On the number of Perfect Matchings of Tubular Fullerene Graphs","authors":"Yanfei Ma","doi":"10.5815/ijmsc.2023.03.01","DOIUrl":"https://doi.org/10.5815/ijmsc.2023.03.01","url":null,"abstract":"The perfect matchings counting problem of graphs has important applications in combinatorial optimization, statistical physics, quantum chemistry and other fields. A perfect matching of a graph G is a set of non-adjacent edges that covers all vertices of G . The number of perfect matchings of a graph is closely related to its number of vertices. A fullerene graph is a 3-connected cubic planar graphs all of whose faces are pentagons and hexagons. DošliÄ obtained that a fullerene graph with P vertices has at least P/2+1 perfect matchings, Zhang et al. proved a better lower bound 3(p+2)/4 of the number of perfect matchings of a fullerene graph. We have known that the fullerene graph has a nontrivial cyclic 5-edge-cut if and only if it is isomorphic to the graph Tn for some integer n >=1, where Tn is the tubular fullerene graph Tn comprised of two caps formed of six pentagons joined by n concentric layers of hexagons. In this paper, the perfect matchings of the graph Tn is classified by matching a certain vertex, and recursive relations of a set of perfect matching numbers are obtained. Then the calculation formula of the number of perfect matchings of the graph Tn is given by recursive relationships. Finally, we get the number of perfect matchings of Tn with P vertices.","PeriodicalId":492114,"journal":{"name":"International Journal of Mathematical Sciences and Computing","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135840218","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