Explanation Given: The equation one is d y 1 d t = k 1 y 1 ( 1 − y 1 − b y 2 − F 1 ) . The equation two is d y 2 d t = k 2 y 2 ( 1 − y 2 y 1 − F 2 ) . Approach: Calculate the values of y 1 and y 2 by equating the differential equations with zero. The equilibrium points are calculated by equating the simplified equations. Calculation: Equate the first differential equation with zero. d y 1 d t = k 1 y 1 ( 1 − y 1 − b y 2 − F 1 ) 0 = k 1 y 1 ( 1 − y 1 − b y 2 − F 1 ) y 1 = 1 − b y 2 − F 1 ... ( I ) Equate the first differential equation with zero. d y 2 d t = k 2 y 2 ( 1 − y 2 y 1 − F 2 ) 0 = k 2 y 2 ( 1 − y 2 y 1 − F 2 ) y 1 = y 2 1 − F 2 ... ( II ) Substitute y 2 1 − F 2 for y 1 in equation (I). To determine (b) To find: What would happen to the whales and krill when F 1 > 1 and F 2 > 1 .

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ISBN: 9780321964458

Author: Lial

Publisher: PEARSON EDUCATION (COLLEGE)

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Chapter 11.5, Problem 12E

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(a)

To find:

What would happen to the whales and krill when F1<1 and F2>1.

To determine

(b)

To find:

What would happen to the whales and krill when F1>1 and F2>1.

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Chapter 11.5, Problem 11E

Chapter 11.5, Problem 13E

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(a) To find: What would happen to the whales and krill when F 1 < 1 and F 2 > 1 .

Solution Summary: The author explains how to calculate the values of y_1 and

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(a)

To find:

What would happen to the whales and krill when F1<1 and F2>1.

(b)

To find:

What would happen to the whales and krill when F1>1 and F2>1.

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(a) To find: What would happen to the whales and krill when F 1 &lt; 1 and F 2 &gt; 1 .

Solution Summary: The author explains how to calculate the values of y_1 and

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(a) To find: What would happen to the whales and krill when F1<1 and F2>1.

(b) To find: What would happen to the whales and krill when F1>1 and F2>1.

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Chapter 11 Solutions

(a) To find: What would happen to the whales and krill when F 1 < 1 and F 2 > 1 .

(a)

To find:

What would happen to the whales and krill when F1<1 and F2>1.

(b)

To find:

What would happen to the whales and krill when F1>1 and F2>1.