22 citations · 78 across the 16 of their papers we have counts for
17 papers
Ancient Indian mathematics needs an honorific place in modern mathematics celebration
Steven G. Krantz, Arni S. R. Srinivasa Rao
In point of fact the Indian tradition in mathematics is long and glorious. It dates back to earliest times, and indeed many of the Indian discoveries from 5000 years ago correspond…
Helminth Dynamics: Mean Number of Worms, Reproductive Rates
Arni S. R. Srinivasa Rao, Roy M. Anderson
We derive formulas to compute mean number of worms in a newly Helminth infected population before secondary infections are started (population is closed). We have proved the two ty…
Computation of life expectancy from incomplete data
Arni S. R. Srinivasa Rao, James R. Carey
Estimating the human longevity and computing of life expectancy are central to the population dynamics. These aspects were studied seriously by scientists since fifteenth century,…
On the Three Properties of Stationary Populations and knotting with Non-Stationary Populations
Arni S. R. Srinivasa Rao, James R. Carey
A population is considered stationary if the growth rate is zero and the age structure is constant. It thus follows that a population is considered non-stationary if either its gro…
A Partition Theorem for a Randomly Selected Large Population
Arni S. R. Srinivasa Rao
We state and prove a theorem on the partitioning of a randomly selected large population into stationary and non-stationary components by using a property of stationary population…
True Epidemic Growth Construction Through Harmonic Analysis
Steven G. Krantz, Peter Polyakov, Arni S. R. Srinivasa Rao
In this paper, we have proposed a two phase procedure (combining discrete graphs and wavelets) for constructing a true epidemic growth. In the first phase graph theory based approa…
Population Stability and Momentum
Arni S. R. Srinivasa Rao
A new approach is developed to understand stability of a population and further understanding of population momentum.
Generalization of Carey's Equality and a Theorem on Stationary Population
Arni S. R. Srinivasa Rao, James R. Carey
Carey's Equality pertaining to stationary models is well known. In this paper, we have stated and proved a fundamental theorem related to the formation of this Equality. This theor…
Understanding Chicken Walks on n x n Grid: Hamiltonian Paths, Discrete Dynamics and Rectifiable Paths
Arni S. R. Srinivasa Rao, Fiona Tomley, Damer Blake
Understanding animal movements and modelling the routes they travel can be essential in studies of pathogen transmission dynamics. Pathogen biology is also of crucial importance, d…
Understanding Theoretically The Impact of Reporting of Disease Cases in Epidemiology
Arni S. R. Srinivasa Rao
In conducting preliminary analysis during an epidemic, data on reported disease cases offer key information in guiding the direction to the in-depth analysis. Models for growth and…
Multivariate Force of Mortality
Swagata Mitra, Pratyush Singh, Arni S. R. Srinivasa Rao
In usual demographic analysis, force of mortality is a function of one variable, that is, of age. In this article bi-variate and multivariate force of mortality functions are intro…
Biometric Cards for Indian Population: Role of Mathematical Models in Assisting and Planning
Arni S. R. Srinivasa Rao
Mathematical models could be helpful in assisting the Indian Government's new initiative of issuing biometric cards to its citizens. In this note, we look into the role of mathemat…
Theoretical Framework and Empirical Modeling for Time Required to Vaccinate a Population in an Epidemic
Arni S. R. Srinivasa Rao, Thomas Kurien
The paper describes a method to understand time required to vaccinate against viruses in total as well as subpopulations. As a demonstration, a model based estimate for time requir…
Mahlburg's work on Crank Functions returns to Ramanujan's work and inspiration
Nagesh Juluru, Arni S. R. Srinivasa Rao
Mahlburg (2005) brilliantly showed the importance of crank functions in partition congruences that were originally guessed by Dyson (1944). Ramanujan's partition functions are the…
Incubation periods under various anti-retroviral therapies in homogeneous mixing and age-structured dynamical models: A theoretical approach
Arni S. R. Srinivasa Rao
With the launch of second line anti-retroviral therapy for HIV infected individuals, there has been an increased expectation on surviving period of people with HIV. We consider pre…
Epidemic branching processes with and without vaccination
Arni S. R. Srinivasa Rao, Chris T. Bauch
Here we treat the transmission of disease through a population as a standard Galton-Watson branching process, modified to take the presence of vaccination into account. Vaccination…
A Mid-point Theorem for the U type shape of functions
Arni S. R. Srinivasa Rao
A mid-point theorem is proved in an elementary way for the U type shape of functions that arise out of exponential quadratic functions. These results are inspired from epidemic pat…