September 2014
Intermediate to advanced
512 pages
12h 39m
English
Content preview from IPython Interactive Computing and Visualization CookbookBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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Analyzing a nonlinear differential system – Lotka-Volterra (predator-prey) equations
Here, we will conduct a brief analytical study of a famous nonlinear differential system: the Lotka-Volterra equations, also known as predator-prey equations. These equations are first-order differential equations that describe the evolution of two interacting populations (for example, sharks and sardines), where the predators eat the prey. This example illustrates how to obtain exact expressions and results about fixed points and their stability with SymPy.
Getting ready
For this recipe, knowing the basics of linear and nonlinear systems of differential equations is recommended.
How to do it...
- Let's create some symbols:
In [1]: from sympy import * init_printing() ...
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