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A Mathematical Model for Lung Cancer: The Effects of Second-Hand Smoke and Education

In the United States, lung cancer is the leading cause of cancer deaths. As of today, cigarette smoking causes 85% of lung cancer deaths. In this study, a non-linear system of differential equations is used to model the dynamics of a population, which includes smokers. The parameters of the model are obtained from data published by cancer institutes, health and government organizations. The average number of individuals who become smokers and the reduction of this average by an education program are determined. The long-term impact of educating a susceptible class before they enter the population model and the effect it has on the epidemic (getting lung cancer) is also studied. Simulations using realistic parameters are carried out to illustrate our theoretical results.

Poster sessions award recipient at the National 2000 SACNAS convention in Atlanta, GA

Article Number:
BU-1525-M

Year:
2000

Authors:
Carlos Acevedo-Estefanía, University of Puerto Rico-Cayey
Christina González, Texas A&M University
Karen Ríos-Soto, University of Puerto Rico-Mayagez
Eric Summerville, St. Mary's University
Project supervisors: Baojun Song, Cornell University
Carlos Castillo-Chávez, Cornell University

a_mathematical_model_for_lung_cancer_the_effects_of_second-hand_smoke_and_education_.pdf