Introduction: Example4

Example: Consider the following predator-prey model:

.

1.

Does x(t) denote the predator population or the prey population? Justify your answer.

2.

Find all equilibrium points of the system.

3.

Suppose the prey population becomes extinct while the predator population is still positive. Describe the long-term behavior of the predator population.

4.

Suppose the predator population becomes extinct while the prey population is still positive. Describe the long-term behavior of the prey population.

5.

Describe the long-term behavior of the system when the initial populations are given by

.

Solution:

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