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Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
Black Holes Modeled As Fluid Droplets On Membranes, Anthony Bardessono
Black Holes Modeled As Fluid Droplets On Membranes, Anthony Bardessono
Physics
No abstract provided.
Upper, Lower Solutions And Analytic Semigroups For A Model With Diffusion, Yannick T. Kouakep
Upper, Lower Solutions And Analytic Semigroups For A Model With Diffusion, Yannick T. Kouakep
Applications and Applied Mathematics: An International Journal (AAM)
In this discussion we consider an autonomous parabolic epidemic 2-dimensional system modelling the dynamics of transmission of immunizing diseases for a closed population into bounded regular domain. Our model takes into account diffusion of population with external influx as well as one class of infected individuals. We study the well-posedness two-component diffusion equations including external supplies with Neumann conditions using upper/lower solutions and analytic semigroups. In case of constant population or not, with non-oscillatory solution and constant diffusion, this problem admits travelling wave solutions whose minimum wave speed is surveyed here.
Nonlinear Dynamics Of Filaments In Free Space And Fluids, Victoria Kelley
Nonlinear Dynamics Of Filaments In Free Space And Fluids, Victoria Kelley
Senior Honors Projects, 2010-2019
The purpose of this paper is to study a straight rod, held at both ends, with a known twist and tension or compression. We study the stability of this steady state when the system is dominated either by inertia or drag. In order to do this, we first replicate the work of Goriely and Tabor to look at the case with inertia, without drag. After conducting the analysis for that case, we then apply their framework to perform a linear stability analysis of a model that is without inertia, but with hydrodynamic drag. Our motivation is the study of locomotion …
Mathematical Models For Infectious Disease Transmission With Stochastic Simulation Of Measles Outbreaks, Valerie Welty
Mathematical Models For Infectious Disease Transmission With Stochastic Simulation Of Measles Outbreaks, Valerie Welty
Honors College Theses
As they are the leading cause of death among children and adolescents worldwide, it is of extreme importance to control the spread of infectious diseases. Information gained from mathematical modeling of these events often proves quite useful in establishing policy decisions to accomplish this goal. Human behavior, however, is quite difficult to recreate when using equations with pre-determined results, such as deterministic differential equations often used with epidemic models. Because of this, the focus of the research was to create a simulation of an outbreak, specifically of measles, by using an imaginary population experiencing simulated stochastic events on a discrete …
Using Odes To Model Drug Concentrations Within The Field Of Pharmacokinetics, Andrea Mcnally
Using Odes To Model Drug Concentrations Within The Field Of Pharmacokinetics, Andrea Mcnally
Mathematics: Student Scholarship & Creative Works
No abstract provided.