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Set up SEIR diagrams, explain the meaning of all variables and parameters for the following infection systems

smallpox-type pathogen (with life-long immunity) spreading in a homogeneous community with natural mortality - u (mu) , disease-specific mortality uD (mu subscript D), where fraction 0<f<1 of total population is vaccinated (fully protected). Sketch and discuss the resulting dynamic patterns of diseases spread. Explain what happens in the long run (t-> infinity), is there and ‘endemic’ state? Explain the effect of vaccination (f=0 vs. f>0) on disease patterns. Latency period 10 days Infectious period 7 days Natural Resistance level 0.9 Contact rate 2.7/day

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