Department of Mathematics

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Mathematics

Stimulated by recent experimental and theoretical interest in coronoids, a class of polycyclic aromatic compounds, we have developed graph-theoretically based topological indices for the characterization of a number of coronoid compounds. Coronoids have been the focus of several studies due to superaromaticity and other electronic and geometric properties exhibited by these polycyclics that make them also suitable for many applications due to the presence of cavities of different sizes. We have computed various topological indices for coronoid polycyclic aromatic hydrocarbons with cavities that vary topologically. Exact analytical expressions of a series of coronoid compounds have been computed by means of strength-weighted graphs based on the transitive closure of Djoković-Winkler relation. © 2018, © 2018 Taylor &amp; Francis Group, LLC.

World University root node

VIT Unitversity

Department of Information Security

School of Computer Science and Engineering

Vellore Campus

School of Advanced Sciences

Chennai Campus

Polycyclic Aromatic Compounds

Topological Characterization of Coronoid Polycyclic Aromatic Hydrocarbons

International Journal of Ambient Energy

Analysis of multistage M[X]/GK/1 queue with different server’s interruptions and its application in energy consumption

Oncolytic virotherapy is emerging as a promising new method for cancer treatment. In the present study, we propose and analyze a mathematical model for treatment of cancer by using oncolytic virotherapy. Here, it is assumed that the growth of tumor cells follows logistic growth and the interaction between tumor cells and viruses is of saturation type. Additionally, the removal rates of uninfected and virus-infected tumor cells due to CTL’s are also of saturation type. The basic reproduction numbers and different equilibria of the model are computed. The local stability of the equilibria is also discussed. Numerical simulation is also performed and it is found that for some set of parameters model system exhibits periodic oscillations. In this case it is not easy to predict the success of virotherapy. Finally, the model is extended to stochastic model and numerical simulation is performed to compare the results of deterministic and stochastic model. © 2019, © 2019 Taylor &amp; Francis Group, LLC.

Stochastic Analysis and Applications

Modeling treatment of cancer using oncolytic virotherapy with saturated incidence

Recurrent malaria constitutes one of the greatest setbacks to the realization of malaria disease elimination from the population. In this paper, a deterministic model governed by a system of nonlinear differential equations is developed to assess the effects of recurrent malaria – reinfection and relapse on the transmission dynamics of the disease. The model is distributed into autonomous and non-autonomous systems. Analysis of the autonomous model shows that reinfection, which is the recurrence of malaria symptoms due to new parasites infection, has the potential to trigger the existence of two endemic equilibrium points when the basic reproduction number is below unity. Consequently without reinfection, global asymptotic dynamics of the autonomous model is established in the presence of relapse with the aid of carefully constructed Lyapunov functions for both the disease-free and endemic equilibria. The non-autonomous model with time-dependent control strategies is analyzed using Pontryagin's Maximum Principle to find the optimal solutions to the malaria control problem. Cost-effectiveness analysis is conducted to buttress the results of the optimal control problem by using the average cost-effectiveness ratio (ACER) and incremental cost-effectiveness ratio (ICER) methods. Finally, numerical simulations are demonstrated to enhance the theoretical results. © 2020 Elsevier Inc.

Applied Mathematics and Computation

Mathematical analysis of reinfection and relapse in malaria dynamics

The overwhelming choice of restaurants often leads to confusion among consumers. The choice of consumers are influenced and determined by several factors. Most of the consumers read online reviews about the restaurants and make a choice based on review ratings. The article aims to analyze various factors that influence a customer in choosing a restaurant, the mode of payment, the overall review and satisfaction of the customers. A survey on students’ preference and satisfaction towards restaurants was conducted in Chennai. A questionnaire was circulated among the students personally and through various social media platforms. The collected data is analyzed with the statistical methods and the results are visualized on R studio, a free software environment for statistical computing. Further a comparative study is done on an average expenditure spent on food during a normal weekend and exam weekend. The statistical model discussed in the data provides the percentage of girls and boys participated in the survey, students’ preference of restaurants outside as well as inside the campus, the occasions in which they dine out and mode of payment (like cash, card, paytm etc.,). The article explores students’ expectation before placing an order in a restaurant, the average rating of the restaurants in general, quality and satisfaction of the customers.

International Journal of Advanced Science and Technology

Students’ Preference and Satisfaction towards Restaurants in Chennai City

A framework for the rechargeable energy for multi-vehicle Travelling Salesman Problem with single repository

The synthesis of a nano-dimensional cluster of PrFeO3 orthoferrite with interesting tunable characteristics is the principal objective of this work. We document a very simple and improved co-precipitation method to synthesize nanoparticles of the desired dimension of rare earth substituted orthoferrite PrFeO3. The structural distortion is analyzed with Powder X-ray diffraction, which explores a distorted perovskite crystallized ferrite with space group Pbnm (62). The electrical behaviour of the prepared sample is investigated in a frequency range of 50 Hz to 5 MHz at different temperatures. A shift in the dielectric behaviour is noticed at about 250 °C. The morphological structure of the sample explored with High Resolution Transmission Electron Microscope (HRTEM), portraits a nano clustered structure. The magnetic properties of PrFeO3 are observed with Vibrating Sample Magnetometer (VSM) at 20 K and 300 K. A Very interesting change in magnetization is noticed at about 172 K–200 K. The effect of temperature on magnetic properties of PrFeO3 is reportedly due to the spin reorientation transition from Γ2 →Γ4 at TSR ≈ 172 K–200 K temperature range. The electronic band structure of nanoscale PrFeO3 with spin up and spin down states of antiferromagnetic nature is reported. PrFeO3 also exhibit multiferroic properties. © 2019 Elsevier B.V.

Department of Physics

Journal of Alloys and Compounds

Spin reorientation transition in nanoscale multiferroic PrFeO3 and its band structure calculation

If ℓ:V(G)→N is a vertex labeling of a graph G=(V(G),E(G)), then the d-lucky sum of a vertex u ∈ V(G) is dℓ(u)=dG(u)+∑v∈N(u)ℓ(v). The labeling ℓ is a d-lucky labeling if dℓ(u) ≠ dℓ(v) for every uv ∈ E(G). The d-lucky number ηdl(G) of G is the least positive integer k such that G has a d-lucky labeling V(G) → [k]. A general lower bound on the d-lucky number of a graph in terms of its clique number and related degree invariants is proved. The bound is sharp as demonstrated with an infinite family of corona graphs. The d-lucky number is also determined for the so-called Gm,n-web graphs and graphs obtained by attaching the same number of pendant vertices to the vertices of a generalized cocktail-party graph. © 2019 Elsevier Inc.

Fulltext

A lower bound and several exact results on the d-lucky number

In this study, yttrium doped zinc ferrite (ZnFe2−xYxO4x = 0.01–0.1) and yttrium and copper co-doped zinc ferrite (CuyZn1−yFe2−xYxO4x = 0.1 and y = 0.5) were synthesized by solution combustion method. The synthesized nanoparticles were authenticated by various techniques such as X-ray diffraction (XRD), Fourier transform infrared spectroscopy (FTIR), scanning electron microscopy–energy dispersive X-ray analysis (SEM-EDAX) and UV–visible spectroscopy. The photocatalytic activity of synthesized nanoparticles was studied by performing the degradation of methylene blue (MB) under visible light. 95% of MB was degraded in 180 min using yttrium-doped zinc ferrite. 89% of MB was degraded in 30 min using copper and yttrium co-doped zinc ferrite under visible light using 10 mg of the catalyst and 50 µl of hydrogen peroxide. Photocatalytic degradation of colorless pollutant bisphenol A also carried out using the doped zinc ferrite. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Department of Chemistry

Journal of Materials Science: Materials in Electronics

Synthesis, characterization, optical and photocatalytic activity of yttrium and copper co-doped zinc ferrite under visible light

Cosmological models with time dependent displacement field in the cosmological theory based on Lyra’s geometry have been discussed. Exact solutions have been obtained for a spatially flat FRW model by considering a particular form for the time dependent displacement field. We have also obtained conditions under which the matter-dominated, flat universe undergoes decelerated or accelerated expansions. Accelerated expansion of the Universe is of particular interest in view of the recent observations. © 2020