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Filtering by: Subject Differentiable dynamical systems Remove constraint Subject: Differentiable dynamical systems Decade 2010-2019 Remove constraint Decade: 2010-2019

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  • 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:
    ) is a persistent dynamical system when R0 > 1. Persistence is an important notion in the study of

  • Localized Structures in a Diffusive Run-and-Tumble Model of Myxococcus xanthus

    Creator:
    Flynn, Patrick Thomas
    Abstract:
    The bacteria Myxococcus xanthus clusters into fruiting bodies in the absence of food. The movement of M. xanthus has three aspects: self-propulsion (run), change of direction due to collision (tumble), and Brownian fluctuations in movement. We propose a minimalist PDE model for the concentrations of left and right moving agents...
    Resource Type:
    Honors College Thesis
    Full Text:
    stationary solutions to this equation, utilizing geometry and dynamical systems theory to show existence of