Suppose a virus enters the blood stream and develops at a rate proportional Show more The original problem is: Suppose a virus enters the blood stream and develops at a rate proportional to its population density.
Suppose a virus enters the blood stream and develops at a rate proportional Show more The original problem is: Suppose a virus enters the blood stream and develops at a rate proportional to its population density.
An antidote to the virus is administered at a time h 0 and its concentration decays exponentially. The eect of the antidote on the virus density is proportional to the concentration of the antidote. Write down a simple model of the interaction and determine a condition for the initial concentration of the antidote needed to eradicate the virus. The real question is whether the rate of change of the antidote is dA/dH (ke^kQ) or dA/dH (ke^hQ). Show less
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