Suppose the Equations $\frac{d y}{d t}=4 y-x y$ And $\frac{d x}{d t}=x-x y$

question 35

Multiple Choice

Suppose the equations $\frac{d y}{d t}=4 y-x y$ and $\frac{d x}{d t}=x-x y$ describe the rates of growth of two interacting species, where x is the number of species A, measured in thousands, and y is the number of species B, measured in thousands.Assuming that the initial conditions are 1000 of species A and 2000 of species B.What is the long run behavior of Species A?

• A)It dies out.
• B)It grows exponentially.
• C)It reaches an equilibrium.

---

Definitions:

Questionnaire

A set of written questions used for collecting information from respondents.

Positive Correlation

A relationship between two variables in which both variables move in the same direction, indicating that as one variable increases, the other also increases, and vice versa.

Motivation

The process that initiates, guides, and maintains goal-oriented behaviors; it is what causes individuals to act or behave in a certain way to fulfill their needs or desires.

Test Scores

Quantitative measures obtained from educational or psychological tests that reflect the test-taker's performance.