Department of Mathematics: Recent submissions

  • Stability and bifurcation analysis of an infectious disease model with different optimal control strategies 
    Dubey, Balram; Dubey, Uma S. (Elsevier, 2023-11)
    This paper deals with the non-linear Susceptible–Infected–Hospitalized–Recovered model with Holling type II incidence rate, treatment with saturated type functional response for the prevention and control of disease with ...
  • A non-autonomous approach to study the impact of environmental toxins on nutrient-plankton system 
    Dubey, Balram (Elsevier, 2023-12)
    The interaction between phytoplankton and zooplankton has a significant impact on the marine ecology. The interplay between these two species is the building blocks for most of the food webs operating in an aquatic ecosphere. ...
  • On the characterization of rectangular duals 
    Shekhawat, Krishnendra (NNTDM, 2024)
    A rectangular partition is a partition of a rectangle into a finite number of rectangles. A rectangular partition is generic if no four of its rectangles meet at the same point. A plane graph G is called a rectangularly ...
  • Uniqueness of rectangularly dualizable graphs 
    Shekhawat, Krishnendra (Journal Management System, 2024)
    A generic rectangular partition is a partition of a rectangle into a finite number of rectangles provided that no four of them meet at a point. A graph is called dual of a plane graph if there is onetoone correspondence ...
  • A fractional-order model to study the dynamics of the spread of crime 
    Mathur, Trilok; Tiwari, Kamlesh (Elsevier, 2023-07)
    Numerous crucial factors and parameters influence the dynamic process of the spread of crime. Various integer-order differential models have been proposed to capture crime spread. Most of these introduced dynamic systems ...
  • Fractional boundary value problem in complex domain 
    Mathur, Trilok; Agarwal, Shivi (Elsevier, 2023-10)
    Fractional calculus of complex order in complex domain has emerged as a brand-new area of study. Over the past few years, fractional boundary value problems (FBVP) in real variables have been extensively studied but there ...
  • Impact of social media on academics: a fractional order mathematical model 
    Mathur, Trilok; Agarwal, Shivi (Taylor & Francis, 2023-12)
    Due to the COVID pandemic and lockdown, usage of social platforms increased for academic and non-academic purposes. As a result, students are at significant risk of developing social media addiction, so techniques to control ...
  • Deformable derivative in complex domain 
    Mathur, Trilok; Agarwal, Shivi (Springer, 2024)
    In this article, we are proposing a limit-based definition, which we have termed as complex deformable derivative. The complex deformable derivative and complex deformable integral with non-integer order , coincides with ...
  • Fractional differential equation with movable boundary conditions 
    Mathur, Trilok; Agarwal, Shivi (Taru Publication, 2024-03)
    In this research paper, we discuss the complex-valued solutions for the nonlinear fractional boundary value problem (FBVP) of complex order (δ = τ + ιa; 1 < τ ≤ 2, a ∈ R+) with movable boundary conditions. The fractional ...
  • FoodBlock: A secure and cost-optimal framework for online food ordering using blockchain 
    Mathur, Trilok; Agarwal, Shivi; Chamola, Vinay (Wiley, 2024-04)
    The internet has drastically changed trade and interpersonal interactions since the introduction of the pandemic. Food delivery services have expanded significantly in recent years. These services link customers with ...
  • Extended Latin Hypercube Sampling for Integration and Simulation 
    Venkiteswaran, G. (Springer, 2013-01)
    We analyze an extended form of Latin hypercube sampling technique that can be used for numerical quadrature and for Monte Carlo simulation. The technique utilizes random point sets with enhanced uniformity over the ...
  • Diffusion in a nonhomogeneous medium: quasi-random walk on a lattice 
    Venkiteswaran, G. (De Gruyter, 2010-10)
    We are interested in Monte Carlo (MC) methods for solving the diffusion equation: in the case of a constant diffusion coefficient, the solution is approximated by using particles and in every time step, a constant stepsize ...
  • Quasi-Monte Carlo Simulation of Diffusion in a Spatially Nonhomogeneous Medium 
    Venkiteswaran, G. (Springer, 2009-11)
    We propose and test a quasi-Monte Carlo (QMC) method for solving the diffusion equation in the spatially nonhomogeneous case. For a constant diffusion coefficient, the Monte Carlo (MC) method is a valuable tool for simulating ...
  • Deterministic Particle Methods for High Dimensional Fokker-Planck Equations 
    Venkiteswaran, G. (Springer, 2006)
    We consider a mathematical model for polymeric liquids which requires the solution of high-dimensional Fokker-Planck equations related to stochastic differential equations. While Monte-Carlo (MC) methods are classically ...
  • A QMC approach for high dimensional Fokker–Planck equations modelling polymeric liquids 
    Venkiteswaran, G. (Elsevier, 2005)
    A classical model used in the study of dynamics of polymeric liquids is the bead-spring chain representation of polymer molecules. The chain typically consists of a large number of beads and thus the state space of its ...
  • Quasi-Monte Carlo algorithms for diffusion equations in high dimensions 
    Venkiteswaran, G. (IDEAS is a RePEc, 2005)
    Diffusion equation posed on a high dimensional space may occur as a sub-problem in advection-diffusion problems (see [G. Venkiteswaran, M. Junk, A QMC approach for high dimensional Fokker–Planck equations modelling polymeric ...
  • Combinatorial properties of sparsely totient numbers 
    Eyyunni, Pramod (ARXIV, 2020)
    Let N1(m) = maxfn: (n) mg and N1 = fN1(m) : m 2 (N)g where (n) denotes the Euler's totient function. Masser and Shiu [3] call the elements of N1 as `sparsely totient num- bers' and initiated the study of these ...
  • On the local structure of the set of values of Euler's φ function 
    Eyyunni, Pramod (ARXIV, 2021-03)
    Assuming the validity of Dickson's conjecture, we show that the set V of values of the Euler's totient function φ contains arbitrarily large arithmetic progressions with common difference 4. This leads to the question of ...
  • On thin sum-product bases 
    Eyyunni, Pramod (Springer, 2021)
    Additive bases, and less importantly multiplicative bases, have been ex- tensively studied for several centuries. More recently, expanding polynomi- als (of course, with more than one variable) have been considered with ...
  • Sparse subsets of the natural numbers and Euler’s totient function 
    Eyyunni, Pramod (Springer, 2019-08)
    In this article, we investigate sparse subsets of the natural numbers and study the sparseness of some sets associated to the Euler’s totient function φ via the property of ‘Banach density’. These sets related to the ...

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