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Full-Text Articles in Other Applied Mathematics
On Honey Bee Colony Dynamics And Disease Transmission, Matthew I. Betti
On Honey Bee Colony Dynamics And Disease Transmission, Matthew I. Betti
Electronic Thesis and Dissertation Repository
The work herein falls under the umbrella of mathematical modeling of disease transmission. The majority of this document focuses on the extent to which infection undermines the strength of a honey bee colony. These studies extend from simple mass-action ordinary differential equations models, to continuous age-structured partial differential equation models and finally a detailed agent-based model which accounts for vector transmission of infection between bees as well as a host of other influences and stressors on honey bee colony dynamics. These models offer a series of predictions relevant to the fate of honey bee colonies in the presence of disease …
Mechanisms For Social Influence, Jeremy David Auerbach
Mechanisms For Social Influence, Jeremy David Auerbach
Masters Theses
Throughout the thesis, I study mathematical models that can help explain the dependency of social phenomena in animals and humans on individual traits. The first chapter investigates consensus building in human groups through communication of individual preferences for a course of action. Individuals share and modify these preferences through speaker listener interactions. Personality traits, reputations, and social networks structures effect these modifications and eventually the group will reach a consensus. If there is variation in personality traits, the time to reach consensus is delayed. Reputation models are introduced and explored, finding that those who can best estimate the average initial …