International Journal of Mathematical Sciences and Computing (IJMSC)

IJMSC Vol. 7, No. 4, Dec. 2021

Cover page and Table of Contents: PDF (size: 677KB)

Table Of Contents

REGULAR PAPERS

Inhomogeneous Assessment of New Mechanism of Adaptive Detection of Partially-correlated χ2-Targets

By Mohamed Bakry El-Mashede

DOI: https://doi.org/10.5815/ijmsc.2021.04.01, Pub. Date: 8 Dec. 2021

Owing to its merits in fluctuating radar targets detection, the scenario of fusion structure has rapidly become a methodology of choice. The base goal of this paper is to analyze the linear type of this methodology, which is termed as linear fusion (LF). The target of interest along with fallacious ones is assumed to be fluctuating obeying χ2-model of two-degrees of freedom in their fluctuation, with particular attention on partially-correlated target returns. Closed-form expression is derived for the detection performance of the proposed processor. The analytical results are validated with computer simulation. Our simulation results demonstrate that the LF model yields impressive detection performance in terms of detection performance and CFAR loss, in comparison with the conventional schemes in the case where the operating environment is free of or contaminated with interferers. Additionally, the LF homogeneous performance outweighs that of Neyman-Pearson (N-P) detector, which is the yardstick of the CFAR world. Moreover, the LF structure has the capability of holding the rate of false alarm fixed against the presence of interferers. The ability to obtain improved performance compared to existing models is the major contribution of this research.

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Determination of Optimal Smoothing Constants for Foreign Remittances in Bangladesh

By Md. Nayan Dhali Md. Biddut Rana Nazrul Islam Deepa Roy Mst. Sharmin Banu

DOI: https://doi.org/10.5815/ijmsc.2021.04.02, Pub. Date: 8 Dec. 2021

Remittance is the tie that is sent to the country by earning money from abroad. In present Bangladesh, remittance is playing an important role in increasing reserves and revenue. For about two decades remittance has been contributing a huge portion of export earnings. Remittances have a significant impact on the budget of Bangladesh and also the budget depends a lot on remittances. So it is very crucial to know the future remittance to make an annual budget for upcoming year. This paper concentrates on choosing the appropriate smoothing constants for foreign remittances forecasting by Holt’s method. This method is very popular quantitative skilled in forecasting. The forecasting of this deftness depends on optimal smoothing constants. So, choosing an optimal smoothing constant is very important to minimize the error of forecasting. We have demonstrated the techniques by presenting actual remittances and also presented graphical comparisons between actual and forecasting remittances for the optimal smoothing constants.

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Proving Riemann Hypothesis through the Derivative of Zeta Reflection

By Salah Ameer

DOI: https://doi.org/10.5815/ijmsc.2021.04.03, Pub. Date: 8 Dec. 2021

A novel proof is presented in this work indicating that all non-trivial zeros of the zeta function has a real part equal to ½. As no proof has been validated yet, this work was successful in introducing a proof through the use of elementary calculus theorems. A second version of the proof was also shown where a more advanced series analysis (e.g. Fourier series) is used.

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Improving Deceased Identification and Claiming System in Mortuaries Using Fingerprint: A Developing Country Perspective

By Iwara I. Arikpo Chidalu Prince Egeonu

DOI: https://doi.org/10.5815/ijmsc.2021.04.04, Pub. Date: 8 Dec. 2021

The mortuary industry in most developing countries are in need of improvement on the receiving and releasing of deceased persons. Paper-based mortuary systems lack reliability, timely information retrieval, accountability, data security and access control; compared to computer-based, mortuaries are the norm in advanced countries. This study reports the development of a fingerprint-based biometric mortuary system for deceased identification and claiming.  The system design methodology was based on the object-oriented analysis and design approach using the UML. The system was implemented with Java as the frontend and processing logic, interacting with MySQL Server at the backend for transaction management. As generated from the University of Calabar Teaching Hospital Calabar, the result of this study shows that, with the fingerprint verification technique, mortuary establishments in Nigeria and related countries can enhance the deceased claimant verification process to avoid releasing the deceased to wrong persons and reduce deceased identification anomalies. The study has shown that biometrics technology can enhance deceased identification and release in resource-constrained settings like Nigeria.

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Mathematical Modeling for COVID-19 Transmission Dynamics and the Impact of Prevention Strategies: A Case of Ethiopia

By Akalu Abriham Demsis Dejene Tadele Abera Abayneh Elias

DOI: https://doi.org/10.5815/ijmsc.2021.04.05, Pub. Date: 8 Dec. 2021

At the end of 2019 the novel coronavirus disease (COVID-19) was declared as a major health hazard by the world health organization (WHO) and the only available way of stopping this threat was via non-pharmaceutical approach. Most authors have studied COVID-19 transmission dynamics using mathematical modeling by involving the basic (major) compartments. In this study we have formulated a mathematical model for the transmission dynamics of COVID-19 which incorporates almost all possible scenarios at present. We have also analyzed the impact of prevention and control strategies. The model has satisfied all the basic properties that infectious disease model should fulfill; Boundedness, positivity of its solutions, stability analysis, epidemic equilibrium point, basic reproduction number and local stability of the disease free equilibrium. We introduced a self-protection parameter, m to analyze the impact of physical distancing, staying at home, using masks, washing hands and so on. The impact of isolation and quarantine has been analyzed and their effects on the number of Exposed, infected and dead people were clearly discussed. In addition to these, the effects of symptomatic and asymptomatic individuals on the value of basic reproduction number have been examined. The numerical simulations of this study indicate that the government should increase isolation, quarantine and self-protection rates. Additionally to minimize the contact rate between susceptible and asymptotic individuals, self-protection at all cost and everywhere has to be done, so that both symptomatic and importantly asymptomatic individuals stop transmitting the virus.

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