Assume That $x ( t )$ And $y ( t )$ Represent the Populations of Two Competing Species at Time

question 9

Multiple Choice

Assume that $x ( t )$ and $y ( t )$ represent the populations of two competing species at time $t$ . The Lotka-Volterra competition model is

• A) \(\frac { d x } { d t } = r _ { 1 } x \left( K _ { 1 } + x - a _ { 12 } y \right) / K _ { 1 } , \frac { d y } { d t } = r _ { 2 } y \left( K _ { 2 } - y - a _ { 21 } y \right) / K _ { 2 }\)
• B) \(\frac { d x } { d t } = r _ { 1 } x \left( K _ { 1 } - x + a _ { 12 } y \right) / K _ { 1 } , \frac { d y } { d t } = r _ { 2 } y \left( K _ { 2 } - y - a _ { 21 } y \right) / K _ { 2 }\)
• C) \(\frac { d x } { d t } = r _ { 1 } x \left( K _ { 1 } - x - a _ { 12 } y \right) / K _ { 1 } , \frac { d y } { d t } = r _ { 2 } y \left( K _ { 2 } - y - a _ { 21 } y \right) / K _ { 2 }\)
• D) \(\frac { d x } { d t } = r _ { 1 } x \left( K _ { 1 } - x - a _ { 12 } y \right) / K _ { 1 } , \frac { d y } { d t } = r _ { 2 } y \left( K _ { 2 } + y - a _ { 21 } y \right) / K _ { 2 }\)
• E) \(\frac { d x } { d t } = r _ { 1 } x \left( K _ { 1 } - x - a _ { 12 } y \right) / K _ { 1 } , \frac { d y } { d t } = r _ { 2 } y \left( K _ { 2 } - y + a _ { 21 } y \right) / K _ { 2 }\)

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Definitions:

Division

A mathematical operation involving the process of dividing one number by another to find how many times the divisor fits into the dividend.

Division

The process of ascertaining how many times one number is contained within another.

Addition

The mathematical operation of combining two or more numbers to calculate their total sum.

Multiplication

A mathematical operation that combines two numbers to get their product.