Mathematical Modeling with Excel (International Series in Mathematics) by Albright Brian

Author:Albright, Brian [Albright, Brian]
Language: eng
Format: epub
Publisher: Jones & Bartlett Learning
Published: 2011-01-28T00:00:00+00:00

5.3 Quadratic Population Model

In this section we model the population of two species with a system of two differential equations. We do not attempt to solve the system; rather, we numerically approximate solutions with Euler’s method and analyze the trajectories in the phase plane.

Euler’s method for a system of two differential equations is very similar to that in Section 5.2. Consider a two-dimensional system of differential equations with the general form

Euler’s method for approximating solutions to a system such as this is

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