A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 2 the first year, 4 the second year, and 2 the third year. The population now consists of 192 members in each of the three age classes. How many members will there be in each age class in 1 year? 0 ≤ age ≤ 1 1 ≤ age ≤ 2 2 ≤ age ≤ 3 In 2 years? 0 ≤ age ≤ 1 1 ≤ age ≤ 2 2 ≤ age ≤ 3

MATLAB: An Introduction with Applications
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**Population Dynamics Problem**

A population has the following characteristics:

(a) A total of **75%** of the population survives the first year. Of that **75%**, **25%** survives the second year. The maximum life span is 3 years.
(b) The average number of offspring for each member of the population is **2** the first year, **4** the second year, and **2** the third year.

The population now consists of **192** members in each of the three age classes. How many members will there be in each age class in 1 year?

**Current Age Distribution:**
- \( 0 \leq \text{age} \leq 1 \): [Enter answer here]
- \( 1 < \text{age} \leq 2 \): [Enter answer here]
- \( 2 < \text{age} \leq 3 \): [Enter answer here]

**Projected Age Distribution in 2 Years:**
- \( 0 \leq \text{age} \leq 1 \): [Enter answer here]
- \( 1 < \text{age} \leq 2 \): [Enter answer here]
- \( 2 < \text{age} \leq 3 \): [Enter answer here]

**Explanation of Age Distribution Projections:**

- **Age Class 0 to 1:** These are the newborns in the population.
- **Age Class 1 to 2:** These members were in the Age Class 0 to 1 in the previous year and have survived into the next age class.
- **Age Class 2 to 3:** These members were in the Age Class 1 to 2 in the previous year and have survived into the next age class.

Please fill in the respective boxes with the appropriate population numbers based on the given characteristics and survival rates.
Transcribed Image Text:**Population Dynamics Problem** A population has the following characteristics: (a) A total of **75%** of the population survives the first year. Of that **75%**, **25%** survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is **2** the first year, **4** the second year, and **2** the third year. The population now consists of **192** members in each of the three age classes. How many members will there be in each age class in 1 year? **Current Age Distribution:** - \( 0 \leq \text{age} \leq 1 \): [Enter answer here] - \( 1 < \text{age} \leq 2 \): [Enter answer here] - \( 2 < \text{age} \leq 3 \): [Enter answer here] **Projected Age Distribution in 2 Years:** - \( 0 \leq \text{age} \leq 1 \): [Enter answer here] - \( 1 < \text{age} \leq 2 \): [Enter answer here] - \( 2 < \text{age} \leq 3 \): [Enter answer here] **Explanation of Age Distribution Projections:** - **Age Class 0 to 1:** These are the newborns in the population. - **Age Class 1 to 2:** These members were in the Age Class 0 to 1 in the previous year and have survived into the next age class. - **Age Class 2 to 3:** These members were in the Age Class 1 to 2 in the previous year and have survived into the next age class. Please fill in the respective boxes with the appropriate population numbers based on the given characteristics and survival rates.
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