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The spread of a computer virus in a network of computers can be modeled by the following equation: = 2(1 )(1 3) where V is

The spread of a computer virus in a network of computers can be modeled by the following equation: = 2(1 )(1 3) where V is the fraction of the computers in the network that is infected. (This means that 0 V 1.) a) Develop a stock-flow model to find the equilibrium points of this model and determine the stability. b) If 5% of the computer is infected (so V = 0.05) initially, then what fraction of the computers in the network will be infected in the long run?

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