Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Date/Time: 
Friday, May 13, 2011 - 05:00
Location: 
GLK 113

Speaker Info

Abstract: 

Talk 1: An Analysis of the Coexistence of three competing species with a shared pathogen

Speaker: Margaret Rose Leung

Abstract: We consider an SI model of three competing species that are all
affected by the same pathogen which is transmitted directly via mass action.
The total population sizes of the three species satisfy a three dimensional
Lotka-Volterra competition model. We address the interaction between
competition and disease dynamics, and show that infected coexistence in the
model is determined by the values of the basic reproduction numbers as well
as the relative strengths of intra- versus inter-specific competition for
all three species.

 

Talk 2: A Spatiotemporal Model of Barley and Cereal Yellow Dwarf Virus Transmission Dynamics

Speaker: Carrie Manore

Abstract: In this talk we present a model for transmission of barley and
cereal yellow dwarf viruses (B/CYDV) spread by aphid vectors among
non-native annual and native perrenial grass species in the western United
States. We model transmission of disease within a patch framework that
incorporates the movement of aphid vectors between discrete patches. Our
spatiotemporal model incorporates age structure in perrenial grasses,
competition between the grass species and seasonal variations in population
dynamics of the host species. Using this B/CYDV system as a case study we
investigate the effects of spatial distributions and relative abundances of
different host species on disease dynamics.