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Mathematical model for smok.ng： Effect of determination and education

International Journal of Biomathematics 2015年第1期8卷 1-14页

作者： anuradha yadav pras.ant k. srivastava anuj kumar Department of Mathematics School of Basic Sciences Indian Institute of Technology Patna Patna Bihar 13 India

We propose and analyze mathematical models to study the dynamics of smok.ng behavior under the influence of educational programs and also individual＇s determination to quit smok.ng. We establish the positivity and boundedness of the solutions in a biologically feasible region. A threshold value responsible for persistence of smok.ng is obtained and stability analysis on models is performed. We find that determination alone is not enough to eradicate smok.ng but it can reduce the prevalence of smok.r population. Whereas the increase in education can possibly eradicate it. We performed numerical simulation for representative set of parameters to verify and discuss results obtained analytically.

关键词： Smok.ng determination education global stability Lyapunov function

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Delayed information induces oscillations in a dynamical model for infectious disease

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International Journal of Biomathematics 2019年第2期12卷 163-196页

作者： anuj kumar pras.ant k.srivastava anuradha yadav School of Mathematics Thapar Institute of Engineering and Technology Patiala 147004 India Department of Mathematics Indian Institute of Technology Patna Patna 801103India

During disease outbreak.it has been observed that information about the disease prevalence induces the individuafs behavioral *** information is usually assumed to be generated by the density of infective individuals and active mass *** delay in reporting of these infective individuals may have its impact on generated ***,to study the impact of delay on information generation,and therefore on the disease dynamics,a delay differential equation model is proposed and *** dynamics of information with delay effect is also modeled by a separate rate *** analysis is performed and a unique infected equilibrium is obtained when the basic reproduction number(R0)is greater than one,whereas the disease free equilibrium always *** R0ant time lag in reporting of infective after the disease ***,the delay in dissemination of information shows rich and

关键词： Information behavioral response delay Hopf bifurcation Hopf-Hopf bifurcation

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Patterns of Chromatin-Modifications Discriminate Different Genomic Features in Arabidopsis

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Tsinghua Science and Technology 2013年第5期18卷 431-440页

作者： anuj srivastava Xiaoyu Zhang Sal LaMarca Liming Cai Russell L. Malmberg Institute of Bioinformatics University of Georgia The Jack.on Laboratory Department of Plant Biology University of Georgia Department of Computer Science University of Georgia

Dynamic regulation and pack.ging of genetic information is achieved by the organization of DNA into chromatin. Nucleosomal core histones, which form the basic repeating unit of chromatin, are subject to various post-translational modifications such as acetylation, methylation, phosphorylation, and ubiquitinylation. These modifications have effects on chromatin structure and, along with DNA methylation, regulate gene *** goal of this study was to determine if patterns in modifications were related to different categories of genomic features, and, if so, if the patterns had predictive value. In this study, we used publically available data（ChIP-chip）for different types of histone modifications（methylation and acetylation） and for DNA methylation for Arabidopsis thaliana and then applied a machine learning based approach（a support vector machine） to demonstrate that patterns of these modifications are very different among different k.nds of genomic feature categories（protein, RNA,pseudogene, and transposon elements）. These patterns can be used to distinguish the types of genomic *** methylation and H3k.me3 methylation emerged as features with most discriminative power. From our analysis on Arabidopsis, we were able to predict 33 novel genomic features, whose existence was also supported by analysis of RNA-seq experiments. In summary, we present a novel approach which can be used to discriminate/detect different categories of genomic features based upon their patterns of chromatin modification and DNA methylation.

关键词： chromatin modification DNA methylation support vector machine machine learning Arabidopsis

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EpisandInjectivesinFTS＿0

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模糊系统与数学 1994年第1期 43-46页

作者： _0 A.k.srivastava&S.P.Mishra* Depariment of Mathematics,Banaras Hindu University Varanasi-221 005(U.P),INDIA。

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ＥｐｉｓａｎｄＩｎｊｅｃｔｉｖｅｓｉｎＦＴＳ＿０Ａ．Ｋ．Ｓｒｉｖａｓｔａｖａ＆Ｓ．Ｐ．Ｍｉｓｈｒａ＊／／ＤｅｐａｒｉｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＢａｎａｒａｓＨｉｎｄｕＵｎｉｖｅｒｓｉｔｙＶａｒａｎａｓｉ－２２１００５（Ｕ．Ｐ），ＩＮＤＩＡ。...

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