If epidemics are identified with solution trajectories i
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If epidemics are identified with solution trajectories in which the number of infected individuals initially increases,
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If epidemics are identified with solution trajectories in which the number of infected individuals initially increases, reaches a maximum, and then decreases, use a nullcline analysis to show that an epidemic occurs if and only if S(0) > ? = ???. Assume that ??? < N. Thus ? = ??? is, in effect, a threshold value of susceptibles separating ? into an epidemic region and a nonepidemic region. Explain how the size of the nonepidemic region depends on contact rate and length of infection period
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