Home > Uncategorized > Catastrophic Outbreak

Catastrophic Outbreak

I am enjoying Steven Strogatz second edition of “Non-linear Dynamics and Chaos”.


This post is motivated by this. The following gif relates to the model for insect outbreak. It shows the critical point parameter surface.

The differential equation: \dot{x}=r x (1-\frac{x}{k})-\frac{x^2}{1+x^2}. Note the  fixed point x^*=0 is  unstable.

outbreakstrogatzNot as nice and smooth as I’d like but fun nonetheless.


Categories: Uncategorized
  1. No comments yet.
  1. No trackbacks yet.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )


Connecting to %s

%d bloggers like this: