We Modeled Populations of Aphids and Ladybugs with a Lotka-Volterra $$\frac { d A } { d t } = 2 A ( 1 - 0.0005 A ) - 0.01 A L$$

question 148

Multiple Choice

We modeled populations of aphids and ladybugs with a Lotka-Volterra system. Suppose we modify those equations as follows:
$$\frac { d A } { d t } = 2 A ( 1 - 0.0005 A ) - 0.01 A L$$
$\frac { d L } { d t } = - 0.6 L + 0.0005 A L$
Find the equilibrium solution.

• A) \(A = 3200 , L = 110\)
• B) \(A = 4700 , L = 90\)
• C) \(A = 3700 , L = 120\)
• D) \(A = 1200 , L = 80\)
• E) \(A = 1500 , L = 100\)

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Definitions:

Recessionary Gap

The difference between the actual output of an economy and the output it could produce at full employment.

Time Lags

The delay between the initiation of a process or an action and its effect or result.

Real GDP

The total value of all goods and services produced over a specific time period, adjusted for inflation, reflecting the true growth of an economy.

Unemployed Workers

Individuals who are capable of working and willing to work but are unable to find suitable employment.