Assume that the population of individuals is subdivided into susceptible (S), exposed (E), infectious (I) and removed/recovered (R) classes. Assume that the rate of transmission of disease is given by a, the rate of becoming infectious is given by B, the rate of recovery is given by y and the rate of loss of immunity (i.e., becoming again susceptible) is given by . Assume that the rate of mortality from the class of infectious is given by 8. a) Draw the diagram of this epidemic b) Write the corresponding system of differential equations for this diagram of epidemic

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Assume that the population of individuals is subdivided into susceptible (S), exposed (E), infectious (I)
and removed/recovered (R) classes. Assume that the rate of transmission of disease is given by a, the
rate of becoming infectious is given by B, the rate of recovery is given by y and the rate of loss of
immunity (i.e., becoming again susceptible) is given by . Assume that the rate of mortality from the
class of infectious is given by 8.
a) Draw the diagram of this epidemic
b) Write the corresponding system of differential equations for this diagram of epidemic
Transcribed Image Text:Assume that the population of individuals is subdivided into susceptible (S), exposed (E), infectious (I) and removed/recovered (R) classes. Assume that the rate of transmission of disease is given by a, the rate of becoming infectious is given by B, the rate of recovery is given by y and the rate of loss of immunity (i.e., becoming again susceptible) is given by . Assume that the rate of mortality from the class of infectious is given by 8. a) Draw the diagram of this epidemic b) Write the corresponding system of differential equations for this diagram of epidemic
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