5 papers
A Fokker-Planck Framework for Control of Epidemics
Christian Parkinson, Souvik Roy
We present a control framework for stochastic compartmental models in epidemiology. In this framework, rather than directly controlling the stochastic system, we perform optimal co…
Optimal Control of an SIR Model with Noncompliance as a Social Contagion
Chloe Ngo, Christian Parkinson, Weinan Wang
We propose and study a compartmental model for epidemiology with human behavioral effects. Specifically, our model incorporates governmental prevention measures aimed at lowering t…
A Compartmental Model for Epidemiology with Human Behavior and Stochastic Effects
Christian Parkinson, Weinan Wang
We propose a compartmental model for epidemiology wherein the population is split into groups with either comply or refuse to comply with protocols designed to slow the spread of a…
Optimal Control of a Reaction-Diffusion Epidemic Model with Noncompliance
Marcelo Bongarti, Christian Parkinson, Weinan Wang
In this paper, we consider an optimal distributed control problem for a reaction-diffusion-based SIR epidemic model with human behavioral effects. We develop a model wherein non-ph…
Discrete Differential Geometry for Hyperbolic Surfaces of Non-Constant Curvature
Christian Parkinson, Shankar C. Venkataramani
We develop a discrete differential geometry for surfaces of non-constant negative curvature, which can be used to model various phenomena from the growth of flower petals to marine…