68 citations · 116 across the 4 of their papers we have counts for
6 papers
Amplification of the Net Reproductive Number by Dispersion for a Matrix Population Model Applicable to the Invasive Round Goby Fish
Matt S. Calder, Yingming Zhao, Xingfu Zou
Matrix population models have proved popular and useful for studying stage-structured populations in quantitative ecology. The goal of this paper is to develop and analyze a genera…
Properties of the Lindemann Mechanism in Phase Space
Matt S. Calder, David Siegel
We study the planar and scalar reductions of the nonlinear Lindemann mechanism of unimolecular decay. First, we establish that the origin, a degenerate critical point, is globally…
Asymptotic Behaviour Near a Nonlinear Sink
Matt S. Calder, David Siegel
In this paper, we will develop an iterative procedure to determine the detailed asymptotic behaviour of solutions of a certain class of nonlinear vector differential equations whic…
Maximum likelihood estimation for -stable autoregressive processes
Beth Andrews, Matthew Calder, Richard A. Davis
We consider maximum likelihood estimation for both causal and noncausal autoregressive time series processes with non-Gaussian -stable noise. A nondegenerate limiting distributi…
Properties of the Michaelis-Menten Mechanism in Phase Space
Matt S. Calder, David Siegel
We study the two-dimensional reduction of the Michaelis-Menten reaction of enzyme kinetics. First, we prove the existence and uniqueness of a slow manifold between the horizontal a…
Analysis of Superoscillatory Wave Functions
M. S. Calder, A. Kempf
Surprisingly, differentiable functions are able to oscillate arbitrarily faster than their highest Fourier component would suggest. The phenomenon is called superoscillation. Recen…