This presentation provides an overview of a Special Session presentation held at the NAAFE Forum 2017 in March, 2017. The title of the special session was: Saving the World's Most Endangered Marine Mammal. The session was organized by Oriana Poindexter.
Fisheries subsidies have been roughly estimated to be as high as $35 billion worldwide, of which about $20 billion have been categorized as capacity-enhancing subsidies that directly contribute to overfishing. Since 2001, the necessity for reforming fishing subsidies has been part of the discussions in the World Trade Organization (WTO)....
This thesis consists of three subsequent parts addressing the applications of stochastic
processes to the analysis and solutions of parabolic equations with discontinuous coefficients
that are of mathematical interest.
The first two parts consist of three manuscripts, in which we analyze solutions
of Fickian convection dispersion equations with discontinuous coefficients...
In this dissertation, we study two risk models. First, we consider the dual risk process which models the surplus of a company that incurs expenses at a constant rate and earns random positive gains at random times. When the surplus is invested in a risky asset following a geometric Brownian...
This thesis contains three manuscripts addressing the application of stochastic processes to the analysis and solution of partial differential equations (PDEs) in mathematical physics.
In the first manuscript, one dimensional diffusion and Burgers equation are considered. The Fourier transform of the solution to each PDE is represented as the expected...
During last decade, the excluding efficiency of circle hooks for sea turtle has given positive and successful outcomes in Oaxaca, Mexico. The research seeks: 1) determine if the change of fishing gear provides positive benefits to local small scale longline fishermen, 2) estimate the benefit and cost functions, 3) determine...
Subsidies can directly support unsustainable fishing practices that harm both ecosystems and long-term social and economic benefits. Globally, fishery subsidies total around US$27 billion, yet their impacts on fishing dynamics are specific to given regions or particular fisheries and fishery subsidies within a nation have markedly different effects when applied...
In this paper, we discuss two possible modifications to a numerical solution method for a model of microbiologically induced calcite precipitation (MICP). MICP provides a means to seal cracks in the surfaces of geological structures. From a mathematical and computational point of view MICP has very interesting features which make...
This article concerns a systemic manifestation of small scale interfacial heterogeneities in large scale quantities of interest to a variety of diverse applications spanning the earth, biological and ecological sciences. Beginning with formulations in terms of partial differential equations governing the conservative, advective-dispersive transport of mass concentrations in divergence form,...
Aggregation equations have been used to model phenomena such as insect swarming and chemotaxis. Previous work on aggregation equations in the area of analysis applied to PDE has proven well-posedness of certain classes of aggregation equations in Lebesgue spaces. We will prove local existence of solutions in H^1 to an...