In the vast country of China lives one of the critically endangered species in the world, called the South China Tiger. Suppose enough jungle preserve is set aside so that there is suffcient room for more territories of this tiger specie than there are actual South China Tigers themselves. Hence, there will be no danger of overcrowding. But if the population is too small, the South China Tigers will have difficulty finding each other during mating season. 1. Identify the independent and dependent variables, and the parameters to be used. 2. Construct a population model based on the relevant assumptions. 3. Write a differential equation that models the population of South China Tigers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In the vast country of China lives one of the critically endangered species in the world, called the South China Tiger. Suppose enough jungle preserve is set aside so that there is suffcient room for more territories of this tiger specie than there are actual South China Tigers themselves. Hence, there will be no danger of overcrowding. But if the population is too small, the South China Tigers will have difficulty finding each other during mating season.

1. Identify the independent and dependent variables, and the parameters to be used.

2. Construct a population model based on the relevant assumptions.

3. Write a differential equation that models the population of South China Tigers.

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