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Traveling Waves in Models of Population Dynamics with Nonlocal Interactions

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서명/저자사항Traveling Waves in Models of Population Dynamics with Nonlocal Interactions.
개인저자Autry, Eric A.
단체저자명Northwestern University. Engineering Sciences and Applied Mathematics.
발행사항[S.l.]: Northwestern University., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항147 p.
기본자료 저록Dissertation Abstracts International 79-11B(E).
Dissertation Abstract International
ISBN9780438116740
학위논문주기Thesis (Ph.D.)--Northwestern University, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Advisers: Alvin Bayliss
요약This thesis focuses on ecological models of population dynamics and the traveling, migratory waves that can result when a stable state either displaces an unstable state, or displaces another stable state. We consider the effect of nonlocal inte
요약In our first project, we developed a piecewise linear, reaction-diffusion model describing the growth and movement of a single species, u, so that when we considered a particular form of nonlocality, we were able to reduce the integro-PDE to a s
요약In our second project, we considered a three species food chain model, where species u was preyed upon by species v, which in turn was preyed upon by species w. Our primary focus was on biological control, where the bottom species u is an import
일반주제명Applied mathematics.
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