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A Mathematical Model of the Emission and Optimal Control of Photochemical Smog

This study models traffic regulations as well as vehicle modifications as tools for reducing the emission of NO, NO2, CO, and CO2 from vehicles on a subset of highways in the Los Angeles basin. We make changes to an established chemical network creating a simplified, non-autonomous, coupled set of six ordinary differential equations. We demonstrate, and prove when able, the existence of periodic pollutant levels. Furthermore, we formulate an optimal control problem to address hypothetical pollution policies explicitly considering implementation cost and the reduction of cost of adverse health effects.

Article Number:
MTBI-08-07M

Year:
2011

Authors:
Daniel Burkow, Arizona State University
Christina Duron, Swarthmore College
Kathryn Heal, University of California Los Angeles
Arturo Vargas, University of California Irvine
Luis Melara, Shippensburg University

a_mathematical_model_of_the_emission_and_optimal_control_of_photochemical_smog_.pdf