Suppose That We Model Populations of Aphids and Ladybugs with the System

question 37

Multiple Choice

Suppose that we model populations of aphids and ladybugs with the system of differential equations: $\begin{array} { l } \frac { d A } { d t } = 3 A - 0.01 A L \\\frac { d L } { d t } = - 0.5 L + 0.0001 A L\end{array}$ Find the expression for $\frac { d A } { d L }$ .

• A) \(\frac { - 0.5 L + 0.0001 A L } { 3 A - 0.01 A L }\)
• B) \(\frac { 0.5 L - 0.0001 A L } { 3 A - 0.01 A L }\)
• C) \(\frac { - 3 A + 0.01 A L } { - 0.5 + 0.0001 A L }\)
• D) \(\frac { 3 A - 0.01 A L } { - 0.5 L + 0.0001 A L }\)
• E) \(\frac { - 0.5 L + 0.0001 A L } { - 3 A + 0.01 A L }\)
• F) \(\frac { - 0.5 L + 0.0001 A L } { - 3 A - 0.01 A L }\)
• G) \(\frac { 3 A - 0.01 A L } { 0.5 L - 0.0001 A L }\)
• H) \(\frac { 3 A - 0.01 A L } { - 0.5 L - 0.0001 A L }\)

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Definitions:

Signaling

The process by which cells communicate with each other through molecules to perform various functions.

Differentiation

The process by which cells or tissues undergo a change toward a more specific form or function, often in the context of development.

Bone Marrow

A soft tissue inside bones where blood cells are produced, including red blood cells, white blood cells, and platelets.

Stem Cells

Undifferentiated cells capable of giving rise to indefinitely more cells of the same type, and from which certain other kinds of cells arise by differentiation.