We first start with the simplest SIR model to describe the transmission of communicable disease through individuals. We analyze the SIR model and the SEIR model with periodic transmission rates. Then we focus on the two-strain SIR model with constant transmission rate. The two-strain model displays three basic relationships between the two viruses. These relationships are determined by the existence and stability of each equilibrium point. If there is no stable equilibrium point, the two-strain model has periodic solutions. We also study the two-strain SIR model with periodic transmission rate. The last part of this project conerns patterns observed from data downloaded from the World Health Organization (WHO) on the infective individuals of H1N1(77), H1N1(09), and H3N2(68) viruses.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Xue, Zhaokun
• Zhang, Linan
• Li, Tianyu

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-031414-150750

Advisor

• Lui, Roger Y

Year

• 2014

Date created

• 2014-03-14

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright