A scientist places two strains of bacteria, X and Y, in a petri dish. Initially, there
Chapter 4, Problem 4.6.65(choose chapter or problem)
A scientist places two strains of bacteria, X and Y, in a petri dish. Initially, there are 400 of X and 500 of Y. The two bacteria compete for food and space but do not feed on each other. If x x(t) and y y(t) are the numbers of the strains at time t days, the growth rates of the two populations are given by the system (a) Determine what happens to these two populations by solving the system of differential equations. (b) Explore the effect of changing the initial populations by letting x(0) a and y(0) b. Describe what happens to the populations in terms of a and b.
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