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.
The first two equations can be solved for I and S as in [3] The variation of I versus S can be seen from the figure provided Figure 2. The solutions of I vs. S can be written as, [3]. (2) I(S) = S + 1 R0 lnS +1: The graphs of this equation 2.6 are shown for different values of R0: The system of equations can be solved for several values of ...
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