This site allows users to develop and explore predator-prey models as prototypical first order system of differential equations including the Lotka-Volterra model. This module includes background section, graphical representations, optional section, and summary. This site is part of a larger collection of modules hosted by Duke University.
Type of Material:
In mathematical biology lecture as a reference material or application material for differential equations class.
It is a simple HTML site with lots of clickable links. Users can access this site from any browser. In order to use the accompanying CAS files a user must have one of the common CAS installed on his computer.
Identify Major Learning Goals:
To develop and explore predator-prey models as prototypical first order system of differential equations including the Lotka-Volterra model.
Target Student Population:
Students at colleges and universities who are taking mathematical biology class or students or students of numerical analysis of evolution equations class.
Prerequisite Knowledge or Skills:
Knowledge of numerical methods for approximating the solution to first order initial value problems in differential equations and basic knowledge of computer algebra system (CAS) using Maple, Mathematica, or MATLAB.
This site contains several math topics related to the Predator-Prey Models such as numerical solution of differential equations, and several applications of those models in biology, chemistry, engineering, physics, and environmental sciences. This site also provides CAS files in MATLAB, MAPLE, and MATHEMATICA for Predator-Prey Models.
Potential Effectiveness as a Teaching Tool
This site does an excellent job in taking both the instructor and the student through the modules of the Predator-Prey Models and the resources available for both of them (students and instructors) under the Connected Curriculum Project for mathematics and its applications. This site contains a list of resources in other math classes, applications, and references which are beneficial for students and instructors.
Ease of Use for Both Students and Faculty
Students and instructors can access the material in this site easily using all the clickable buttons and underlined words. All of the topics in this site are connected to each other with references to pre-requisite materials and other related resources. Instructors can use the materials of this site in their math classes lectures and assignments.
In order to use this site to full extent, the user must have one of the CAS (Computer Algebra Systems) installed.
Other Issues and Comments:
The site has not been updated since August 15, 2001.
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