Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Foxall, Eric"'
Autor:
Wyse, Sarah K., Foxall, Eric
The extent to which committed minorities can overturn social conventions is an active area of research in the mathematical modelling of opinion dynamics. Researchers generally use simulations of agent-based models (ABMs) to compute approximate values
Externí odkaz:
http://arxiv.org/abs/2407.20451
Publikováno v:
J. R. Soc. Interface. 2120230652
Translation of proteins is a fundamental part of gene expression that is mediated by ribosomes. As ribosomes significantly contribute to both cellular mass and energy consumption, achieving efficient management of the ribosome population is also cruc
Externí odkaz:
http://arxiv.org/abs/2401.06294
Publikováno v:
Ecol. Complex. 51 (2022) 101014
In mathematical modeling, several different functional forms can often be used to fit a data set equally well, especially if the data is sparse. In such cases, these mathematically different but similar looking functional forms are typically consider
Externí odkaz:
http://arxiv.org/abs/2201.11256
Autor:
Foxall, Eric, Labossiere, Jen
For neutral genealogy models in a finite, possibly non-constant population, there is a convenient ordered rearrangement of the particles, known as the lookdown representation, that greatly simplifies the analysis of the family trees. By introducing t
Externí odkaz:
http://arxiv.org/abs/2104.00193
Autor:
Foxall, Eric
The bifurcation theory of ordinary differential equations (ODEs), and its application to deterministic population models, are by now well established. In this article, we begin to develop a complementary theory for diffusion-like perturbations of dyn
Externí odkaz:
http://arxiv.org/abs/2101.08777
Akademický článek
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Autor:
Foxall, Eric
Publikováno v:
J. Appl. Probab. 58 (2021) 637-676
The logistic birth and death process is perhaps the simplest stochastic population model that has both density-dependent reproduction, and a phase transition, and a lot can be learned about the process by studying its extinction time, $\tau_n$, as a
Externí odkaz:
http://arxiv.org/abs/1805.08339
Autor:
Foxall, Eric
This thesis is concerned with certain properties of stochastic growth models. A stochastic growth model is a model of infection spread, through a population of individuals, that incorporates an element of randomness. The models we consider are variat
Externí odkaz:
http://hdl.handle.net/1828/6212
Autor:
Foxall, Eric, Lyu, Hanbaek
We study the $\kappa$-color cyclic particle system on the one-dimensional integer lattice $\mathbb{Z}$, first introduced by Bramson and Griffeath in \cite{bramson1989flux}. In that paper they show that almost surely, every site changes its color infi
Externí odkaz:
http://arxiv.org/abs/1711.04741
The partner model is an SIS epidemic in a population with random formation and dissolution of partnerships, and with disease transmission only occuring within partnerships. Foxall, Edwards, and van den Driessche found the critical value and studied t
Externí odkaz:
http://arxiv.org/abs/1705.06954