Transcription of Modeling epidemics with differential equations
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Modeling epidemics with differential equations
Modeling epidemics with differential equationsRoss Beckley1, Cametria Weatherspoon1, Michael Alexander1,Marissa Chandler1, Anthony Johnson2, and Ghan S Bhatt11 Tennessee State University,2 Philander Smith 21, well known SIR models have been around formany years. Under some suitable assumptions, the models pro-vide information about when does the epidemic occur and when itdoesn t. The models can incorporate the birth, death, and immu-nization and analyze the outcome mathematically. In this projectwe studied several SIR models including birth, death and immu-nization. We also studied the bifurcation analysis associated withthe disease free and epidemic on some mathematical assumptions, it is known that epi-demics can be modeled mathematically in order to study the severityand prevention mechanism. This model (SIR) is used in epidemiologyto compute the number of susceptible, infected, and recovered peoplein a population at any time.
Modeling epidemics with differential equations Ross Beckley1, Cametria Weatherspoon1, Michael Alexander1, Marissa Chandler1, Anthony Johnson2, and Ghan S Bhatt1 1Tennessee State University, 2Philander Smith College. June 21, 2013 Abstract. The well known SIR models have been around for
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