The impact of resource abundance on consumer encounter rates (with an application to pathogen invasion risk) Territorial animals share a variety of common resources, which can be a major driver of conspecific encounter rates. We investigate how changes in resource quantity influence the rate of encounters between individuals in a population.  A spatial resource landscape …

The Perron-Frobenius theorem and its applications The Perron-Frobenius theorem states that a positive matrix admits a positive principal eigenvalue with associated posited eigenvalue. I will discuss the applications of this result for dynamics and differential equations.

Using mathematical model to understand the impact of various preventive and control measures on the dynamics of visceral leishmaniasis in Brazil Visceral leishmaniasis (VL) is a zoonosis with global distribution. Its incidence has increased in Brazil in recent years, thus coming to represent a serious public and animal health problem. The strategies applied in Brazil, …

Calculating Human to Human Avian Influenza R0 via Likelihood and Jacobian Approach The transmission of avian influenza between humans is extremely rare, and it mostly affects individuals who are in contact with infected poultry. Although this scenario is uncommon, there have been multiple outbreaks that occur in small infection clusters in Asia with relatively low transmissibility, …

Measuring the Electrostatic Drag of Dyaction Dynactin, an activator of dynein, connects intracellular cargo to dynein motors.  Linear stochastic models are developed to describe the interaction of intracellular cargo, an anchor, and a functionalized motor.  These models use known parameters and available data for dynactin to produce an estimate of electrostatic drag.  Using available data …