A SIS disease spreads through a population of size K = 30, 000 individuals. The average...

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A SIS disease spreads through a population of size K = 30, 000individuals. The average time of recovery is 10 days and theinfectious contact rate is 0.2 × 10^(?4) individuals^(?1) day^(?1). (a) The disease has reached steady-state. How many individualsare infected with the disease? (b) What is the minimum percentagereduction in the infectious contact rate that is required toeliminate the disease? (c) By implementing a raft of measures it isproposed to reduce the value of the infectious contact rate to onepercent of its initial value. Will this be su?cient to eliminatethe disease within twenty-eight days? (d) Is it feasible toeliminate the disease within twenty-eight days solely by reducingthe value of the pairwise contact rate? (e) How may days will the‘raft of measures’ have to be maintained if we are to eliminate thedisease?

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According to the SIS model the modelling equations arewhere is the susceptiblepopulation is the infectedpopulationIn steady stateThereforeTherefore either or Given Therefore Therefore at steady state 14th of the population is susceptibleSo not everyone is infectedAccording to the SIS model the modelling See Answer

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