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STABILITY AND BIFURCATION ANALYSIS OF A DELAYED INNOVATION DIFFUSION MODEL

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Acta Mathematica Scientia 2018年第2期38卷 709-732页

作者： Rakesh KUMAR anuj Kumar sharma Kulbhushan A GNIHOTRI Department of Applied Sciences S.B.S. State Technical Campus Ferozepur Punjab 152004 India Research Scholar with I.K.G. Punjab Technical University Kapurthala Punjab 144603 India Department of Mathematics L.R.D.A. V. College Jagraon Ludhiana Punjab 142026 India

In this article, a nonlinear mathematical model for innovation diffusion with stage structure which incorporates the evaluation stage （time delay） is proposed. The model is analyzed by considering the effects of external as well as internal influences and other demographic processes such as emigration, intrinsic growth rate, death rate, etc. The asymptotical stability of the various equilibria is investigated. By analyzing the exponential characteristic equation with delay-dependent coefficients obtained through the variational matrix, it is found that Hopf bifurcation occurs when the evaluation period （time delay, T） passes through a critical value. Applying the normal form theory and the center manifold argument, we de- rive the explicit formulas determining the properties of the bifurcating periodic solutions. To illustrate our theoretical analysis, some numerical simulations are also included.

关键词： Innovation diffusion model stability analysis Hopf-bifurcation normal form theory center manifold theorem

DYNAMICAL BEHAVIOR OF AN INNOVATION DIFFUSION MODEL WITH INTRA-SPECIFIC COMPETITION BETWEEN COMPETING ADOPTERS

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Acta Mathematica Scientia 2022年第1期42卷 364-386页

作者： Rakesh KUMAR anuj Kumar sharma Govind Prasad SAHU Department of Applied Sciences Shaheed Bhagat Singh State UniversityFerozepurPunjab 152004India Department of Mathematics L.R.D.A.V.CollegeJagraonLudhianaPunjab 142026India Center for Basic Sciences Pt Ravishankar Shukla UniversityRaipur(Chhattisgarh).India

In this paper,we proposed an innovation diffusion model with three compartments to investigate the diffusion of an innovation(product)in a particular *** model exhibits two equilibria,namely,the adopter-free and an interior *** existence and local stability of the adopter-free and interior equilibria are explored in terms of the effective Basic Influence Number(BIN)R_(A).It is investigated that the adopter free steady-state is stable if R_(A)<*** consideringτ(the adoption experience of the adopters)as the bifurcation parameter,we have been able to obtain the critical value ofτresponsible for the periodic solutions due to Hopf *** direction and stability analysis of bifurcating periodic solutions has been performed by using the arguments of normal form theory and the center manifold *** numerical simulations in the support of analytical results have been presented.

关键词： intra-specific competition basic influence number local stability Hopf-bifurcation normal form theory center manifold theorem

Influence of alumina/MWCNT hybrid nanoparticle additives on tribological properties of lubricants in turning operations

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Friction 2019年第2期7卷 153-168页

作者： anuj Kumar sharma Jitendra Kumar KATIYAR Shubrajit BHAUMIK Sandipan ROY Tribology and Surface Interaction Research Lab Department of Mechanical EngineeringSRM Institute of Science and Technology Kattankulathur

A hybrid lubricant with improved thermal and tribological properties was developed by blending multiwalled carbon nanotubes(MWCNTs) with alumina-based nanoparticles into cutting fluid at fixed volumetric proportions(10:90). The hybrid cutting fluid was prepared in different volumetric concentrations(0.25, 0.75, and 1.25 vol%), and the tribological properties and contact angles were measured using pin-on-disc tribometry and goniometry, respectively. The study showed a reduction in wear and friction coefficient with increasing nanoparticle concentration. The cutting fluid performance was investigated using minimum quantity lubrication(MQL) in the turning of AISI 304 stainless steel. Regression models were developed for measuring the temperature and tool flank wear in terms of cutting speed, feed, depth of the cut, and nanoparticle concentration using response surface methodology. The developed hybrid nanolubricants significantly reduced the tool flank wear and nodal temperature by 11% and 27.36%, respectively, as compared to alumina-based lubricants.

关键词： hybrids nanolubricants MQL MWCNT tool wear friction coefficient

Multi-omics:Powerful accelerator for uncovering plant specialized metabolic pathways:The case of leonurine

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Molecular Plant 2024年第1期17卷 13-15页

作者： Priyanka Gupta anuj sharma Dinesh A.Nagegowda Molecular Plant Biology and Biotechnology Lab CSIR-Central Institute of Medicinal and Aromatic PlantsResearch CentreBengaluru 560065India Academy of Scientific and Innovative Research Ghaziabad 201002India

As sessile organisms,plants employ a unique adaptive strategy to survive harsh terrestrial environments and defend against or interact with coevolving animals and *** strategy involves expanding their metabolic systems,resulting in the production of plant specialized metabolites(PSMs)or natural ***,PSMs constitute a highly diverse group of compounds based on their common core structure,comprising terpenoids,phenylpropanoids,benzenoids,alkaloids and nitrogen-containing compounds,glucosinolates,indoles and sulfur-containing indole compounds,phenolics,and fatty acid derivatives(Garagounis et al.,2021).

关键词： expanding alkaloids sulfur

Automatic Leukaemia Segmentation Approach for Blood Cancer Classification Using Microscopic Images

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Computers, Materials & Continua 2022年第11期73卷 3629-3648页

作者： anuj sharma Deepak Prashar Arfat Ahmad Khan Faizan Ahmed Khan Settawit Poochaya School of Computer Applications Lovely Professional UniversityPhagwara144411India School of Computer Science&Engineering Lovely Professional UniversityPhagwara144411India Suranaree University of Technology Nakhon Ratchasima30000Thailand COMSATS University Lahore 54000Pakistan

Leukaemia is a type of blood cancer that is caused by undeveloped White Blood Cells(WBC),and it is also called a blast blood *** the marrow of human bones,leukaemia is developed and is responsible for blood cell generation with leukocytes and WBC,and if any cell gets blasted,then it may become a cause of ***,the diagnosis of leukaemia in its early stages helps greatly in the treatment along with saving human ***,in terms of detection,image segmentation techniques play a vital role,and they turn out to be the important image processing steps for the extraction of feature patterns from the Acute Lymphoblastic Leukaemia(ALL)type of blood ***,the image segmentation technique focuses on the division of cells by segmenting a microscopic image into background and cancer blood cell nucleus,which is well-known as the Region Of Interest(ROI).As a result,in this article,we attempt to build a segmentation technique capable of solving blood cell nucleus segmentation issues using four distinct scenarios,including K-means,FCM(Fuzzy Cmeans),K-means with FFA(Firefly Algorithm),and FCM with ***,we determine the most effective method of blood cell nucleus segmentation,which we subsequently use for the Leukaemia classification ***,using the Convolution Neural Network(CNN)as a classifier,we developed a leukaemia cancer classification model from the microscopic *** proposed system’s classification accuracy is tested using the CNN to test the model on the ALL-IDB dataset and equate it to the current state of the *** terms of experimental analysis,we observed that the accuracy of the model is near to 99%,and it is far better than other existing models that are designed to segment and classify the types of leukaemia cancer in terms of ALL.

关键词： Leukaemia blood cell nucleus image segmentation HOG descriptor K-means FCM CNN microscopic images

Investigation of Nanoscale Scratching on Copper with Conical Tools Using Particle-Based Simulation

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Nanomanufacturing and Metrology 2023年第1期6卷 49-60页

作者： anuj sharma Sivakumar Kulasegaram Emmanuel Brousseau Kane Esien Dan Read School of Engineering Cardiff UniversityCardiff CF243AAUK School of Physics and Astronomy Cardiff UniversityCardiff CF243AAUK Department of Electrical and Computer Engineering University of California Santa BarbaraSanta BarbaraCA 93106USA

In this study,a modeling approach based on smooth particle hydrodynamics(SPH)was implemented to simulate the nanoscale scratching process using conical tools with different negative rake *** implemented model enables the study of the topography of groove profiles,scratching forces,and the residual plastic strain beneath the *** elastoplastic material model was employed for the workpiece,and the tool–workpiece interaction was defined by a contact model adopted from the Hertz *** in-house Lagrangian SPH code was implemented to perform nano-scratching *** SPH simulation results were compared with nanoscale scratching experimental data available in the *** simulation results revealed that the normal force was more dominant compared to the cutting force,in agreement with experimental results reported for a conical tip tool with a 60°negative rake *** addition,the simulated groove profile was in good agreement with the groove profile produced in the aforementioned *** numerical simulations also showed that the normal and cutting forces increased with the increase in the scratching depth and rake *** the cutting and ploughing mechanisms were noticed in nano-scratching,the ploughing mechanism was more dominant for increased negative rake *** was also observed that residual plastic strain exists below the groove surface,and that the plastically deformed layer thickness beneath a scratched groove is larger for more negative values of the tool rake angle and higher scratching depths.

关键词： Nanoscale scratching SPH modeling Ploughing Cutting Groove profiles

Exploring the Potential of Syzygium cumini(L.)Skeels(Jamun)Seed Powder as an Eco-Friendly Agent for Developing Friction Ridges on Porous and Nonporous Surfaces

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Journal of Forensic Science and Medicine 2024年第2期10卷 75-83页

作者： Vaibhav sharma Abhishek R.Rai Divyansh Jain Poonam Kumari Varad Nagar Anubhav Singh Kumud Kant Awasthi Archana Gautam Tina sharma Mahipal Singh Sankhla anuj sharma Department of Forensic Science Vivekananda Global UniversityJaipurRajasthanIndia School of Forensics Risk Management and National SecurityRashtriya Raksha UniversityLavadGujaratIndia Department of Life Sciences Vivekananda Global UniversityJaipurRajasthanIndia Department of Forensic Science UIAHSChandigarh UniversityMohaliPunjabIndia University Centre for Research and Development Chandigarh UniversityMohaliPunjabIndia Department of Forensic Science ITM UniversityGwaliorM.P.India

Background:Development of obscured fingerprints on a diverse range of surfaces is a crucial aspect of forensic *** and Objectives:In this particular study,the utilization of Syzygium cumini(L.)Skeels(Jamun)seed powder was examined for the purpose of revealing hidden fingerprints on a variety of surfaces,including both permeable and impermeable *** and Methods:The seed powder was extracted using a simple process and was analysed using multiple analytical *** efficacy of the jamun seed powder in developing latent fingerprints was ***:The findings of this investigation demonstrate that the jamun seed powder was capable of producing fingerprint patterns of exceptional quality and clarity on numerous ***:This research highlights the potential use of jamun seed powder as a practical and effective alternative for the development of hidden fingerprints in forensic investigations,while also providing cost-effectiveness.

关键词： Forensic investigation jamun seed latent fingerprints medicinal value

Transaminitis is an indicator of mortality in patients with COVID-19:A retrospective cohort study

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World Journal of Hepatology 2020年第9期12卷 619-627页

作者： Vishnu Charan Suresh Kumar Prateek Suresh Harne Samiran Mukherjee Kashvi Gupta Umair Masood anuj Vikrant sharma Jivan Lamichhane Amit Singh Dhamoon Bishnu Sapkota Department of Internal Medicine SUNY Upstate Medical UniversitySyracuseNY 13202United States Department of Internal Medicine University of MichiganAnn ArborMI 48109United States Division of Gastroenterology SUNY Upstate Medical UniversitySyracuseNY 13202United States Division of Gastroenterology Syracuse VA medical CenterSyracuseNY 13202United States

BACKGROUND Since its discovery in Wuhan,China in December of 2019,the novel coronavirus has progressed to become one of the worst pandemics seen in the last 100 ***,there has been an increased interest in the hepatic manifestations of coronavirus disease 19(COVID-19).AIM To describe the demographic and clinical characteristics of COVID-19 positive patients and study the association between transaminitis and all-cause *** This is a descriptive retrospective cohort study of 130 consecutive patients with a positive COVID PCR test admitted between March 16,2020 to May 14,2020 at a tertiary care University-based medical *** Wilcoxon-rank sum test and paired t-test were used for comparing non-parametric and parametric continuous variables respectively and a multivariable logistic regression models to study the association between transaminitis and mortality using SAS version 9.4(SAS Institute,Cary,NC,United States).RESULTS Out of the 130 patients,73(56%)patients were found to have transaminitis and 57(44%)did *** compared to patients without transaminitis,the transaminitis group was found to have a higher median body mass index(30.2 kg/m2 vs 27.3 kg/m2,P=0.04).In the multivariate analysis those with transaminitis were found to have 3.4 times higher odds of dying as compared to those without transaminitis adjusting for gender,the Age-adjusted Charlson Comorbidity Index and admission to the intensive care unit(P=0.03).CONCLUSION Our study showed that transaminitis on admission was associated with severe clinical outcomes such as admission to the intensive care unit,need for mechanical ventilation,and mortality.

关键词： COVID-19 Liver Mortality Transaminitis Liver enzymes Aspartate aminotransferase Alanine aminotransferase

Retrospective analysis of complications related to endoscopic retrograde cholangio-pancreatography in patients with cirrhosis vs patients without cirrhosis

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World Journal of Hepatology 2021年第4期13卷 472-482页

作者： Michelle Bernshteyn Linda Hu Umair Masood anuj Vikrant sharma Danning Huang Bishnu Sapkota Department of Medicine SUNY Upstate Medical UniversitySyracuseNY 13202United States Division of Gastroenterology and Hepatology State University of New York Upstate Medical UniversitySyracuseNY 13210United States Department of Public Health and Preventive Medicine SUNY Upstate Medical UniversitySyracuseNY 13202United States Division of Gastroenterology and Hepatology SUNY Upstate Medical University and Syracuse VA Medical CenterSyracuseNY 13210United States

BACKGROUND There is minimal objective data regarding adverse events related to endoscopic retrograde cholangio-pancreatography(ERCP)in patients with cirrhosis compared to those without cirrhosis and even fewer data comparing complications among cirrhosis patients based on severity of *** To determine if patients with cirrhosis are at increased risk of adverse events related to ERCP:mainly pancreatitis,bleeding,perforation,cholangitis,and mortality;And to see if higher Child-Pugh(CP)score and Model for End-Stage Liver Disease(MELD)score are associated with higher post-ERCP *** We performed a retrospective analysis of 692 patients who underwent ERCP and analyzed the impact of cirrhosis etiology,gender,type of sedation used during procedure,interventions performed,and co-morbidities on the rate of complications in cirrhosis patients as compared to non-cirrhosis *** Overall complications were higher in those with cirrhosis as compared to those without cirrhosis(P=0.015 at significance level of 0.05).CP class,especially CP class C,was shown to be associated with a significantly higher rate of ERCP complications as compared to CP class A and CP class B(P=0.010 at significance level of 0.05).CONCLUSION The results of our study reaffirm that liver cirrhosis has an impact on the occurrence of complications during *** study shows that CP class seems to be more reliable as compared to MELD score in predicting complications of ERCP in cirrhosis patients.

关键词： Cirrhosis Complications Advanced endoscopy Endoscopic retrograde cholangio-pancreatography