The Interaction of Two Populations X(t)and Y(t)is Modeled by the System

question 69

Multiple Choice

The interaction of two populations x(t) and y(t) is modeled by the system $\frac{1}{x} \frac{d x}{d t}=1-x-k y, \frac{1}{y} \frac{d y}{d t}=1-y+k x$ , where k is a positive constant.What type of interaction is modeled here?

• A)Symbiosis
• B)Predator-Prey with y the predator and x the prey.
• C)Predator-Prey with x the predator and y the prey.
• D)Competition
• E)None of the above

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Definitions:

Exponentiation

A mathematical operation involving the raising of a number to the power of another number, typically expressed as \(a^{b}\).

Division

A mathematical operation where one number (the dividend) is divided by another (the divisor).

Division

A mathematical operation where a number is divided by another, resulting in a quotient.

Exponentiation

A mathematical operation involving raising a base number to the power of an exponent, signifying repeated multiplication of the base.