34 citations · 81 across the 10 of their papers we have counts for
11 papers
Mimicking the TYC strategy: Weak Allee effects, and a nonhyperbolic extinction boundary
Eric Takyi, Joydeb Bhattacharyya, Rana D. Parshad +1
The Trojan Y Chromosome strategy (TYC) is a genetic biocontrol strategy designed to alter the sex ratio of a target invasive population by reducing the number of females over time.…
Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference
Kwadwo Antwi-Fordjour, Rana D. Parshad, Matthew A. Beauregard
Mutual interference and prey refuge are important drivers of predator-prey dynamics. The "exponent" or degree of mutual interference has been under much debate in theoretical ecolo…
The "higher" status language does not always win: The fall of English in India and the rise of Hindi
Kushani De Silva, Rana D. Parshad, Aladeen Basheer +3
Classical language dynamics explains language shift as a process in which speakers adopt a higher status language in lieu of a lower status language. This is well documented with E…
Optimal Control and Analysis of a Modified Trojan Y-Chromosome Strategy
Matthew A. Beauregard, Rana D. Parshad, Sarah Boon +3
The Trojan Y Chromosome (TYC) Strategy is a promising eradication method that attempts to manipulate the female to male ratio to promote the reduction of the population of an invas…
Quenching estimates for a non-Newtonian filtration equation with singular boundary conditions
Matthew A. Beauregard, Burhan Selcuk
In this paper, the quenching behavior of the non-Newtonian filtration equation with singular boundary conditions, $u_{x…
A variable nonlinear splitting algorithm for reaction-diffusion systems with self- and cross-diffusion
Matthew A. Beauregard, Joshua L. Padgett
Self- and cross-diffusion are important nonlinear spatial derivative terms that are included into biological models of predator-prey interactions. Self-diffusion models overcrowdin…
A Comparison of the Trojan Y Chromosome Strategy to Harvesting Models for Eradication of Non-Native Species
Jingjing Lyu, Pamela J. Schofield, Kristen M. Reaver +2
The Trojan Y Chromosome Strategy (TYC) is a promising eradication method for biological control of non-native species. The strategy works by manipulating the sex ratio of a populat…
A Nonlinear Splitting Algorithm for Systems of Partial Differential Equations with self-Diffusion
Matthew Beauregard, Joshua Padgett, Rana Parshad
Systems of reaction-diffusion equations are commonly used in biological models of food chains. The populations and their complicated interactions present numerous challenges in the…
Casimir energies in spherically symmetric background potentials revisited
Matthew Beauregard, Michael Bordag, Klaus Kirsten
In this paper we reconsider the formulation for the computation of the Casimir energy in spherically symmetric background potentials. Compared to the previous analysis, the technic…
Numerical Solutions to Singular Reaction-Diffusion Equation over Elliptical Domains
Matthew Alan Beauregard
Solid fuel ignition models, for which the dynamics of the temperature is independent of the single-species mass fraction, attempt to follow the dynamics of an explosive event. Such…
Casimir Effect in the Presence of External Fields
Matthew Beauregard, Guglielmo Fucci, Klaus Kirsten +1
In this work the Casimir effect is studied for scalar fields in the presence of boundaries and under the influence of arbitrary smooth potentials of compact support. In this settin…