We are migrating our materials to QUBES. Please pardon the construction. Close

Resources

Modeling Scenario

1-067-ModelingWithSigmoidCurves-ModelingScenario

Author(s): Natali Hritonenko

Prairie View A&M University, Prairie View TX USA

Keywords: logistic Gompertz sigmoid Verhulst-Pearl

36 total view(s), 4 download(s)

Abstract

Resource Image The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape.

Citation

Researchers should cite this work as follows:

Article Context

Resource Type
Differential Equation Type
Qualitative Analysis
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Pedagogical Approaches
Vision and Change Core Competencies - Ability

Description

The assignment contains two opposite, but related tasks: solving a differential equation and constructing a differential equation for a given function as its solution.

The Verhulst-Pearl and Gompertz models have been widely used, not only to describe dynamics of biological population for which they were initially suggested, but also to provide a mathematical formulation of engineering, economic, chemical, and environmental processes. The models have become a foundation for many other models. 

Article Files

Authors

Author(s): Natali Hritonenko

Prairie View A&M University, Prairie View TX USA

Comments

Comments

There are no comments on this resource.