Chegg Guided Solutions for A First Course in Mathematical Modeling 4th Edition: Chapter 2.1

0 Stars(0 users)
  • Step 1 of 3

    Consider the statement,

    The population growth of a single species

    Let, observe the following

    1. The nature of the species

    2. The behavior of the species

    3. The growth of the species

    4. The problems that can be stated with regard to the species

    5. What are the assumptions to be made on creating the model

    Now, discuss about the above points.

    1. Nature of the species:

    This is concerned with the situation or factors which give rise to the species. We can think about the actual place or position where it is being created.

  • Step 2 of 3

    2. Behavior of the species:

    In this we are concerned with the development of the species and cause and effect of the species. If it develops according to some pattern or relation then we can estimate the same.

    3. Growth of the species:

    The growth of the species is concerned with the factors which helps them. So we have to identify the factors and have to treat them as variables. Once the variables have been identified we have to find the relationship between the variables. One or more variables have to be represented in terms of other.

  • Step 3 of 3

    4. Problems that can be stated with regard to the species:

    Once understand the nature, behavior and growth of the species.

    Identify a suitable problem to study on the nature of the species.

    Problem may help us to construct a frame work to develop a model.

    Hence, it can make some suitable assumptions on it

    Assumptions to be made: Study of the problem will help to find the assumptions to be made on the problem. The initial condition at which the problem may exists and so on. Assumptions will help to study the nature of the species through the problem.

    The variables involved in the population growth of a single species can be named based on the following factors how fast they grow, how much time it take to grow, is there any boundary value that it can be reached in order to know its sustainability.

    The above mentioned factors can be put in terms of variables and the variables can be associated with one another so as to make up the model along with their assumptions.

Select Your Problem

Step-by-step solutions for this book and 2,500 others
Already used by over 1 million students to study better