Work

Mathematical models in evolutionary dynamics

Year: 2016

Type: article

Abstract: We consider two mathematical models in evolutionary dynamics. The first model is an extension of an evolutionary game theory model proposed by Martin Nowak. We consider both a mean field deterministic approach and a weak noise stochastic approach, but the focus is on latter which is an uncommon approach for this type of model. The second model is an extension of a competitive exclusion model studied by DeVille et. al. We again consider both a mean field deterministic approach and a weak noise stochastic approach, this time with the focus on the former where we are able to prove numerous global stability results.

Source: Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign)

Author: Meghan Galiardi

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Sandia National Laboratories

Awards: MCTP: PI4: Program for Interdisciplinary and Industrial Internships at Illinois, EMSW21-MCTP: Research Experience for Graduate Students

OpenAlex ID: W2529442064

FWCI:

Cites: 55

Cited by:

Related to: 10