Proceedings of the 2010 Winter Simulation Conference
B. Johansson, S. Jain, J. Montoya-Torres, J. Hugan, and E. Y¨ ucesan, eds.
INCORPORATING HEALTHCARE SYSTEMS IN PANDEMIC MODELS
Natalia E. Lizon
Dionne M. Aleman
Department of Mechanical and Industrial Engineering
University of Toronto
5 King’s College Road, Toronto, ON M5S 3G8, CANADA
Brian Schwartz
Department of Family and Community Medicine
University of Toronto
263 McCaul Street, Toronto, ON M5T 1W7, CANADA
ABSTRACT
There are several models used to predict the spread of disease in a pandemic, but few, if any, incorporate the effect
of healthcare systems in preventing propagation of the disease. In areas where healthcare is easily available
to the general public (specifically, countries with universal healthcare), the ability of infected individuals to
receive rapid treatment should impact disease spread. Additionally, the presence of a pandemic will result in
an increased load on the healthcare system as infected individuals seek medical attention at hospitals and from
their family doctors. We modify an existing non-homogeneous, agent-based simulation pandemic disease
spread model to incorporate a public healthcare system in a pandemic influenza simulation on the Greater
Toronto Area, Ontario, Canada. Results show that healthcare availability significantly significantly increases
disease spread due to increased contacts within the population. We also find that the creation of flu centers
decreases flu-related deaths and decreases hospital admissions.
1 INTRODUCTION
In 2002-2003, a global outbreak of Severe Acute Respiratory Syndrome (SARS) resulted in over 8,000
infections and almost 800 deaths. This outbreak illustrated the need for not only pandemic planning, but also
for accurate pandemic modeling. Realistic models for predicting the spread of disease can provide evidence as
to the effects of mitigation strategies in lessening the spread of disease. For example, the effect of vaccinating
individuals in certain age groups can be estimated in advance and compared to other possible strategies.
In this work, we are specifically interested in the effect of healthcare availability on disease spread, and
the effect of disease spread on healthcare resources. We are additionally focused on the pilot region of the
Greater Toronto Area (GTA), Ontario, Canada. The GTA consists of approximately 4.99 million people living
in a largely urban environment. The presence of universal healthcare and wide usage of public transportation
make this region difficult to model for most existing disease spread approaches.
The majority of pandemic disease spread models in the literature rely on simplifying measures that
make incorporating healthcare systems complicated or even impossible. Homogeneous mixing models, the
most common approach to disease spread modeling, assume that all infected individuals are assumed to
transmit the disease to the same number of people (that number is called the basic reproduction number,
R
0
). This simplification has been shown to lead to inconsistent and inaccurate predictions of disease spread
(Meyers et al. 2005, Newman 2002). Additionally, the uniformity of each individual of the population make
it difficult to account for individualistic attributes such as use of public transportation or inclination to visit a
family doctor once infected.
Although more realistic non-homogeneous (heterogeneous) mixing models exist (Meyers et al. 2005,
Valle et al. 2007, Larson 2007), it is still difficult to address individualistic attributes. Instead, we employ a
non-homogeneous agent-based simulation model (Aleman et al. 2009a, Aleman et al. 2009b) that allows for
each individual in the population to be unique, including demographic information and behavioral patterns.
The individual characteristics will allow us to simulate not only the number of infections and deaths caused
by the disease, but also the impact on regional healthcare facilities.
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