In the Lotka-Volterra Predator-Prey Model $\frac { d x } { d t } = - a x + b x y , \frac { d y } { d t } = e y - c x y$

question 20

Multiple Choice

In the Lotka-Volterra predator-prey model $\frac { d x } { d t } = - a x + b x y , \frac { d y } { d t } = e y - c x y$ , where $x ( t )$ is the predator population and $y ( t )$ is the prey population, the coefficient e represents which of the following:

• A) the predator die-off rate
• B) the prey growth rate
• C) the increase in the predator population due to interactions with the prey
• D) the decrease in the prey population due to interactions with the predator
• E) none of the above

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Definitions:

Acetic Acid

A weak, organic acid with the formula CH3COOH, known for its pungent smell and sour taste, and used in the production of vinegar.

Equilibrium Reaction

A chemical reaction in which the rate of the forward reaction equals the rate of the reverse reaction, resulting in no net change in the concentrations of reactants and products.

K

The symbol for Potassium, a chemical element with atomic number 19, highly reactive and essential for plant and animal life.

HAc

A shorthand notation for acetic acid, a colorless liquid organic compound with the chemical formula CH3COOH.