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  • Modelling Development of Opinion Matrices Over Time

    Creator:
    Oostrom, Martijn L.
    Abstract:
    Given an initial opinion matrix in which every member of a population gives an opinion score of all the members in a population, natural questions to ask could be regarding what happens to those opinions over time, both in forward time and in backward time. While what happens over time...
    Resource Type:
    Masters Thesis
    Full Text:
    Matrices Over Time Abstract approved: Patrick De Leenheer Given an initial opinion matrix in which every

  • A Partial Proof of Bertrand's Theorem

    Creator:
    Musgrove, John F.
    Abstract:
    In this paper, we provide a thorough proof of most of Bertrand's Theorem. Using Arnold's book "Mathematical methods of classical mechanics" as a backbone and calculus methods demonstrated by Jovanović in his article "A note on the proof of Bertrand's theorem," we show that for masses in a central field...
    Resource Type:
    Honors College Thesis
    Full Text:
    Bertrand’s Theorem Abstract approved: Patrick De Leenheer In this paper, we provide a thorough proof of

  • A Ross-Macdonald Model with Vector Demography

    Creator:
    Reyes Grimaldo, Ricardo Noe Gerardo
    Abstract:
    Malaria is a vector-borne disease that has affected humans and other animals for a long time and which has shown high prevalence among different populations. During the beginning of the 20th century, Sir Ronald Ross and George Macdonald developed a model that represents the spread of malaria through the interaction...
    Resource Type:
    Masters Thesis
    Full Text:
    -Macdonald Model with Vector Demography Abstract approved: Patrick De Leenheer Malaria is a vector-borne

  • Persistence of Populations in Environments with an Interface

    Creator:
    Rekow, James A.
    Abstract:
    We model a fish population in a spatial region comprising a marine protected area and a fishing ground separated by an interface. The model assumes conservation of biomass density and takes the form of a reaction diffusion equation with a logistic reaction term. At the interface, in addition to continuity...
    Resource Type:
    Masters Thesis
    Full Text:
    Populations in Environments with an Interface. Abstract approved: Enrique A. Thomann Patrick De Leenheer We