differential equation model to compare smallpox containment strategies
Meghan Burke, Kennesaw State University, USA
is the only disease eradicated from human infection through public health
interventions. Unfortunately, it is again a concern with the looming threat
of bioterrorism. It is essential to have a plan for dealing with an outbreak
in a mostly susceptible population; however, containing a new outbreak with
an old vaccine is not a simple problem. Using differential equations, we model
various plans for preparing for and dealing with a potential attack. We evaluate
the use of vaccination and quarantine and we consider the current issues associated
with the use of vaccine.
relativity and spatially-explicit ecological models: Aiding
University of Tennesse, USA
Jane Comiskey, Mark Palmer
offers opportunities to develop spatially-explicit models at a variety of
levels of complexity to inform public policy on matters such as regional water
management, reserve design, harvesting, biocontrol, and monitoring schemes.
Such models (which may be discrete or continuous dynamical systems, individual-based,
or mixtures of these) can produce enormous amounts of spatio-temporal data,
and typically include uncertainty in inputs, model structure, and parameterization.
Given these uncertainties, how can we best utilize models to inform public
policy, while acknowledging the limitations of the endeavor? we argue for
a relative assessment protocol in which model outputs for alternative input
or control scenarios are compared to a base plan. In this way, different stakeholders
can then use their own criteria to rank the alternatives, across different
spatial regions, time frames or organisms of concern. For much of the last
decade, the ATLSS (Across Trophic Level System Simulation) project has been
developing and applying a set of models designed to aid in restoration planning
for South Florida. Developed in close collaboration with many field researchers
with long experience in the Everglades, ATLSS has been extensively applied
throughout the planning process and used in the evaluation of the biotic impacts
of alternative hydrologic scenarios. ATLSS provides spatially-explicit assessments
of the relative impacts on a variety of species. A relative assessment approach
provides a means to directly evaluate how rankings are affected by uncertainties.
By assuming different input weather conditions or alternative model parameterizations
and making multiple model runs, we can provide guidance on the stability of
rankings to uncertainties. Our results indicate that the spatial scale at
which averaging is assumed affects the stability of the rankings.
at the Two-Year College
JCCC & University of Kansas, USA
mathematics plays an increasingly important role in undergraduate biology
education, interdisciplinary approaches are emerging even at two-year colleges.
This presentation will survey some of the different approaches being taken
at two-year colleges, articulation issues with four-year schools, and demands
made by industry. Topics will range from complimentary topics in traditional
mathematics courses to specialized calculus and computational biology courses
for the life sciences to mathematical content issues for biotechnology programs.
In addition, a suite of biomathematics programs utilizing webMathematica will
be prominently demonstrated and made available to anyone using a contemporary