The Indonesian Journal of Mathematics and Applications最新文献

Vector-Reservoir Transmission in A Japanese Encephalitis Model 日本脑炎模型的媒介-水库传播

The Indonesian Journal of Mathematics and Applications Pub Date : 2023-03-27 DOI: 10.21776/ub.ijma.2023.001.01.3

L. R. Sari, Puji Andayani, S. U. Wijaya

{"title":"Vector-Reservoir Transmission in A Japanese Encephalitis Model","authors":"L. R. Sari, Puji Andayani, S. U. Wijaya","doi":"10.21776/ub.ijma.2023.001.01.3","DOIUrl":"https://doi.org/10.21776/ub.ijma.2023.001.01.3","url":null,"abstract":"In this paper, a model for characterizing the dynamics of vector-borne diseases is put out, emphasizing Japanese encephalitis. The susceptible-infectious-recovered (SIR) model for the host population and the susceptible-infectious (SI) model for the vector and reservoir populations are used to examine the role of host-vector-reservoir dynamics and their interplay. The standard incidence rate represents the probability of an actual disease contact. The model has two equilibrium points: an endemic equilibrium point that only exists under specific circumstances and a disease-free equilibrium point that always exists. The stability analysis of the model’s equilibrium point has been established. The basic reproduction number is calculated using the next-generation matrix method. A sensitivity analysis on models supported by numerical simulations is provided to demonstrate the critical parameter that affects the spread of disease. Our findings indicate that vector-reservoir transmission is the primary cause of endemic. Controlling vector-reservoir transmission lowers the likelihood of human infection and creates disease-free settings.","PeriodicalId":393519,"journal":{"name":"The Indonesian Journal of Mathematics and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116079998","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

Application of Simulated Annealing Method on Tabarru-Fund Valuation using Inflator by Vasicek Model Approach Based on Profit and Loss Sharing Scheme 基于盈亏分担方案的Vasicek模型模拟退火法在tabarru基金估值中的应用

The Indonesian Journal of Mathematics and Applications Pub Date : 2023-03-27 DOI: 10.21776/ub.ijma.2023.001.01.4

Selvi Faristasari, A. R. Effendie

{"title":"Application of Simulated Annealing Method on Tabarru-Fund Valuation using Inflator by Vasicek Model Approach Based on Profit and Loss Sharing Scheme","authors":"Selvi Faristasari, A. R. Effendie","doi":"10.21776/ub.ijma.2023.001.01.4","DOIUrl":"https://doi.org/10.21776/ub.ijma.2023.001.01.4","url":null,"abstract":"Currently, the financial services industry is dominated by conventional banks and individuals that apply the system of interest or an excess of loans. In Islam, this excess is referred to as usury, which is prohibited by Islamic law because, in practice, usury makes borrowers poorer as they cannot pay such high-interest installments. Not to mention, late payments are subject to penalties that will continue to accumulate if the borrower is unable to pay the next installment. From these facts, this system is prohibited by Islamic Law because there are harmed parties. Therefore, this research discusses mathematical models in the form of Islamic investment business loans for micro-economic traders by implementing a profit and loss sharing system. Tabarru-fund is a set of funds derived from borrowers’ contributions used to overcome conditions when they experience losses in certain conditions. In this mathematical model, the tabarru-fund acts as the premium that must be paid if the borrower is still profitable after the principal installments have paid off. This sharia model with tabarru funds is obtained by calculating the premium which involves the problem of minimizing the remaining tabarru funds in a certain period. The future value of the trader's profit rate will be projected using the Vasicek Model approach which previously determined the parameter estimation using OLS regression and then the data is generated using Monte Carlo simulation so that the sharia inflator is obtained. This sharia inflator plays a role in the optimization process of minimizing the remaining tabarru-fund which will be solved by the Simulated Annealing (SA) algorithm.","PeriodicalId":393519,"journal":{"name":"The Indonesian Journal of Mathematics and Applications","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133698209","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

Some Basic Results in ν-Normed Spaces ν赋范空间的一些基本结果

The Indonesian Journal of Mathematics and Applications Pub Date : 2023-03-27 DOI: 10.21776/ub.ijma.2023.001.01.1

Minanur Rohman, I. Eryilmaz

引用次数: 0

Finite Difference Scheme for Nonlinear Finite Grating without and with Defect 无缺陷和有缺陷非线性有限光栅的有限差分格式

The Indonesian Journal of Mathematics and Applications Pub Date : 2023-03-27 DOI: 10.21776/ub.ijma.2023.001.01.5

Reymond Purnomo

引用次数: 0

On the Inverse of a Square Matrix Using Logarithm 用对数求方阵的逆

The Indonesian Journal of Mathematics and Applications Pub Date : 2023-03-27 DOI: 10.21776/ub.ijma.2023.001.01.2

Louie Resti Rellon

引用次数: 0