46 citations · 226 across the 18 of their papers we have counts for
5 papers · 1 filter
Extinction of Populations and the Schrödinger Equation: Analytic Calculations for Abrupt Transitions
Niraj Kumar, V. M. Kenkre
We study bifurcations in a spatially extended nonlinear system representing population dynamics with the help of analytic calculations based on the time-independent Schrödinger equ…
Theory of possible effects of the Allee phenomenon on refugia of the Hantavirus epidemic
Niraj Kumar, M. N. Kuperman, V. M. Kenkre
We investigate possible effects of high order nonlinearities on the shapes of infection refugia of the Hantavirus epidemic. We replace Fisher-like equations that have been recently…
Nonlinearity in Bacterial Population Dynamics: Proposal for Experiments for the Observation of Abrupt Transitions in Patches
V. M. Kenkre, Niraj Kumar
An explicit proposal for experiments leading to abrupt transitions in spatially extended bacterial populations in a Petri dish is presented on the basis of an exact formula obtaine…
Periodically Varying Externally Imposed Environmental Effects on Population Dynamics
M. Ballard, V. M. Kenkre, M. N. Kuperman
Effects of externally imposed periodic changes in the environment on population dynamics are studied with the help of a simple model. The environmental changes are represented by t…
Applicability of the Fisher Equation to Bacterial Population Dynamics
V. M. Kenkre, M. N. Kuperman
The applicability of the Fisher equation, which combines diffusion with logistic nonlinearity, to population dynamics of bacterial colonies is studied with the help of explicit ana…