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My research involves the derivation and analysis of mathematical models that describe population and evolutionary dynamics. I use methods from dynamical systems theory (such as stability analysis and bifurcation theory) applied to a variety of equations types, including difference equations, matrix equations, ordinary and partial differential equations, integro-difference equations, and functional delay equations. I am particularly interested in structured population dynamics, which is a modeling methodology that accounts for different classifications of individuals within a population or species (age classes, size classes, life cycle stages, etc.). A basic goal is to understand how the characteristics of these classes -- their survival rates, birth rates, competitive interactions, evolutionary adaptation, etc. -- affect a population's dynamics, especially with regard to extinction versus survival and the long term nature of the dynamics (equilibration, periodic oscillation, chaos, etc.). I am also study evolutionary game theoretic versions of population models.
Research Interests
Papers共 215 篇Author StatisticsCo-AuthorSimilar Experts
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JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONSno. 1 (2024): 1-89
Journal of Biological Dynamicsno. 1 (2023)
J. M. Cushing, Kathryn Stefanko
Springer Proceedings in Mathematics & StatisticsProgress on Difference Equations and Discrete Dynamical Systemspp.231-243, (2020)
semanticscholar(2020)
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#Papers: 200
#Citation: 8261
H-Index: 43
G-Index: 87
Sociability: 5
Diversity: 1
Activity: 0
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