CP
Christian Parkinson
math.OCcs.NAmath.NACommunicable DiseasesEpidemiological Modelsmath.APEpidemiologymath.DSModels, BiologicalOptimal control
On Valency
published · living versionsW_kwecz669·v1 · currentpublished
Optimal Feedback Control of the Fokker-Planck Equation for an SIRS Epidemic Model
with Souvik Roy
1 version
W_7etc4a8k·v2published
Preprints & journals
20 papers in the corpus · 2015–2026Optimal control of an SIR model with noncompliance as a social contagion.42849705 · Ngo, Chloe, Parkinson, Christian, Wang, Weinan2026 · 0 citationsMathematical biosciences. 2026;402:109822
A Fokker-Planck framework for control of epidemics.42747468 · Parkinson, Christian, Roy, Souvik2026 · 0 citationsJournal of mathematical biology. 2026;93(4)
Collisionless Multi-Agent Path Planning in the Hamilton-Jacobi Formulation2603.28993v1 · Christian Parkinson, Adan Baca, Huy Nguyen2026 · 0 citationsarXiv
A compartmental model for epidemiology with human behavior and stochastic effects.41344424 · Parkinson, Christian, Wang, Weinan2026 · 1 citationMathematical biosciences. 2026;392:109588
A Hopf-Lax Type Formula for Multi-Agent Path Planning with Pattern Coordination2503.20974v1 · Christian Parkinson, Adan Baca2025 · 0 citationsarXiv
A Scalable Method for Optimal Path Planning on Manifolds via a Hopf-Lax Type Formula2412.13346v1 · Edward Huynh, Christian Parkinson2024 · 0 citationsarXiv
Optimal Control of a Reaction-Diffusion Epidemic Model with Noncompliance2407.17298v2 · Marcelo Bongarti, Christian Parkinson, Weinan Wang2024 · 0 citationsarXiv
Discrete Differential Geometry for Hyperbolic Surfaces of Non-Constant Curvature2309.08117v4 · Christian Parkinson, Shankar C. Venkataramani2023 · 0 citationsarXiv
An Efficient Semi-Real-Time Algorithm for Path Planning in the Hamilton-Jacobi Formulation2309.02357v1 · Christian Parkinson, Kyle Polage2023 · 2 citationsarXiv
Efficient and Scalable Path-Planning Algorithms for Curvature Constrained Motion in the Hamilton-Jacobi Formulation2304.12377v2 · Christian Parkinson, Isabelle Boyle2023 · 6 citationsarXiv
Analysis of a Reaction-Diffusion SIR Epidemic Model with Noncompliant Behavior2303.01489v3 · Christian Parkinson, Weinan Wang2023 · 7 citationsarXiv
Time-Optimal Paths for Simple Cars with Moving Obstacles in the Hamilton-Jacobi Formulation2111.09951v1 · Christian Parkinson, Madeline Ceccia2021 · 4 citationsarXiv
A Multilayer Network Model of the Coevolution of the Spread of a Disease and Competing Opinions2107.01713v1 · Kaiyan Peng, Zheng Lu, Vanessa Lin et al.2021 · 58 citationsarXiv
A Model for Optimal Human Navigation with Stochastic Effects2005.03615v1 · Christian Parkinson, David Arnold, Andrea L. Bertozzi et al.2020 · 12 citationsarXiv
A Hamilton-Jacobi Formulation for Time-Optimal Paths of Rectangular Nonholonomic Vehicles2005.03623v1 · Christian Parkinson, Andrea L. Bertozzi, Stanley Osher2020 · 7 citationsarXiv
A Rotating-Grid Upwind Fast Sweeping Scheme for a Class of Hamilton-Jacobi Equations2005.02962v3 · Christian Parkinson2020 · 11 citationsarXiv
Matrix Completion With Selective Sampling1904.08540v1 · Christian Parkinson, Kevin Huynh, Deanna Needell2019 · 0 citationsarXiv
Modeling Environmental Crime in Protected Areas Using the Level Set Method1808.03228v1 · David J. Arnold, Dayne Fernandez, Ruizhe Jia et al.2018 · 8 citationsarXiv
Optimal Human Navigation in Steep Terrain: a Hamilton-Jacobi-Bellman Approach1805.04973v3 · Christian Parkinson, David Arnold, Andrea L. Bertozzi et al.2018 · 1 citationarXiv
Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity1508.07617v2 · Stephen Pankavich, Christian Parkinson2015 · 17 citationsDisc. Cont. Dyn. Sys. B 21: 1237-1257, 2016on Valency
Career total: 33 works. 20 are in this corpus.
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