• 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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