An Analysis of the Cluster-Detecting Property of the BCM Neuron by Lawrence Udeigwe

“…By exploring the qualitative behaviors of an underlying system of differential equations, we present a rigorous mathematical analysis of this cluster-detecting property. …”
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Modeling the effects of carriers on transmission dynamics of infectious diseases by Darja Kalajdzievska, Michael Yi Li

“…An $S$-$I_c$-$I$-$R$ epidemic model is investigated for infectious diseases that can be transmitted through carriers, infected individualswho are contagious but do not show any disease symptoms. Mathematical analysis is carried out that completely determines the globaldynamics of the model. …”
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Some Fixed Point Theorems in Modular Function Spaces Endowed with a Graph by Jaauad Jeddi, Mustapha Kabil, Samih Lazaiz

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Throughput Analysis for a High-Performance FPGA-Accelerated Real-Time Search Application by Wim Vanderbauwhede, S. R. Chalamalasetti, M. Margala

“…The application matches terms in a stream of documents against a static profile, held in off-chip memory. We present a mathematical analysis of the throughput of the application and apply it to the problem of scaling the Bloom filter used to discard nonmatches.…”
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Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable Matrices by Josef Diblík, Michal Fečkan, Michal Pospíšil

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Bifurcation analysis of HIV-1 infection model with cell-to-cell transmission and immune response delay by Jinhu Xu, Yicang Zhou

“…A within-host viral infection model with both virus-to-cell and cell-to-cell transmissions and time delay in immune response is investigated. Mathematical analysis shows that delay may destabilize the infected steady state and lead to Hopf bifurcation. …”
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Lebesgue Measurability of Separately Continuous Functions and Separability by V. V. Mykhaylyuk

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A New Simultaneous Identification of the Harmonic Excitations and Nonlinear Damping of Forced Damped Nonlinear Oscillations: A Parametric Approach by T. S. Jang

“…In addition to the mathematical analysis, a numerical example involving a highly nonlinear system is examined for demonstrating the workability of the proposed method for simultaneously identifying both the two aforementioned excitations and nonlinear damping.…”
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Finite Integral Formulas Involving Multivariable Aleph-Functions by Hagos Tadesse, D. L. Suthar, Minilik Ayalew

“…The main results of our paper are quite general in nature and competent at yielding a very large number of integrals involving polynomials and various special functions occurring in the problem of mathematical analysis and mathematical physics.…”
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A Survey of Recent Results for the Generalizations of Ordinary Differential Equations by Daniel C. Biles, Márcia Federson, Rodrigo López Pouso

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On σ-porous sets in abstract spaces by L. Zajíček

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Chaotic sequence based polar code encrypted scheme in negative secrecy capacity case by Xiaohui ZHANG, Shunliang ZHANG, Bowen LI

“…A chaos based encrypted polar coding scheme,which could be applied to the negative secrecy capacity case,was proposed.Chaotic sequences were employed to encrypt the information bits and fill the frozen bits.And multi-block polar coding structure was also employed in the proposed scheme.The proposed scheme was featured as lower complexity and higher secrecy transmission rate.Corresponding mathematical analysis had been performed in terms of the error probability,security and transmission rate.The result reveals that the proposed scheme can achieve reliability,security in negative secrecy capacity case.What’s more,it has relatively low complexity and high secrecy transmission rate compared with the existing schemes.…”
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Letter to the editors by Shigui Ruan

“…A multiregional compartmentalmodel was proposed, mathematically analyzed, and numericallysimulated to study how SARS spread out from Guangdong, China.The article consists of six sections: (1) an introduction, (2) abackground section on medical geography theory, (3) themathematical model, (4) mathematical analysis and results, (5)numerical simulations, and (6) discussion. …”
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Integral fault analysis of the ARIA cipher by Yu SHEN, Wei LI, Dawu GU, Yixin WU, Shan CAO, Ya LIU, Zhiqiang LIU, Zhihong ZHOU

“…ARIA is a Korean standard block cipher,which is flexible to provide security for software and hardware implementation.Since its introduction,some research of fault analysis is devoted to attacking the last two rounds of ARIA.It is an open problem to know whether provoking faults at some former rounds of ARIA allowed recovering the secret key.An answer was given to solve this problem by showing a novel integral differential fault analysis on two rounds earlier of ARIA.The mathematical analysis and simulating experiments show that the attack can successfully recover its secret key by fault injections.The results in this study describe that the integral fault analysis is a strong threaten to the security of ARIA.The results are beneficial to the analysis of the same type of other block ciphers.…”
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Research on protection technology for location privacy in VANET by Jian-ming ZHANG, Yu-juan ZHAO, Hao-bin JIANG, Xue-dan JIA, Liang-min WANG

“…Location-based services in VANET solved the problem of road safety,and provided the convenient services to drivers and passengers.But it also brought new problems of privacy protection.The content of privacy protection was analyzed,and put emphasis on two kinds of privacy protection technology based on pseudonyms and signature respectively.Pseudonym-based schemes were classified as special-area based,silence-period,cryptographic mix-zones and mix-zones communication proxy based schemes.Signature-based schemes were also divided into two classes:group-signature and ring-signature.The evaluation methods for privacy protection level were surveyed,in which anonymity set,entropy metric,mathematical analysis theory and formal analysis were discussed and compared.…”
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Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions ^† by Feng Qi

“…This paper presents an extensive investigation into several interrelated topics in mathematical analysis and number theory. The author revisits and builds upon known results regarding the Maclaurin power series expansions for a variety of functions and their normalized remainders, explores connections among central factorial numbers, the Stirling numbers, and specific matrix inverses, and derives several closed-form formulas and inequalities. …”
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Evaluation of Heat Irreversibility in a Thin Film Flow of Couple Stress Fluid on a Moving Belt by Samuel O. Adesanya, Ramosheuw S. Lebelo, K. C. Moloi

“…This article addresses the inherent heat irreversibility in the flow of a couple stress thin film along a moving vertical belt subjected to free and adiabatic surface. Mathematical analysis for the fluid-governing-equations is performed in detail. …”
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Multi-antenna diversity receiving scheme for mobile communication system in high-speed railway by Wan-tuan LUO, ANGXu-ming F, Meng CHENG, Ya-jun ZHAO

“…Under the signal model of differential modulation and demodulation, two multi-antenna diversity receptions (linear combiner and statistic combiner) were proposed, and then the effective diversity reception scheme of train-to-ground wireless broadband communication for high-speed railway scenarios was concluded. Mathematical analysis and simulation results indicate that by increasing the diversity number, the proposals can reduce the error floor because of high mobility. …”
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Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal by Dong Li, Yongan Xie, Shengqiang Tang

“…Our procedure shows that the generalized Camassa-Holm equation with nonzero constant boundary has cusped and smooth soliton solutions. Mathematical analysis and numerical simulations are provided for these traveling soliton solutions of the generalized Camassa-Holm equation. …”
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Analysis of Wave Solutions of an Adhenovirus-Tumor Cell System by Baba Issa Camara, Houda Mokrani

“…We discuss biological background and mathematical analysis of glioma gene therapy for contributing to cancer treatment. …”
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