Bifurcation

Chaos is also known in relation to bifurcation. The following equation yields bifurcation:

where r is the growth rate per capita, t is the time, N the number of organisms, and Kthe carrying capacity. When r is above 2, the equation gives two stable fixed points; when above 2.6, four stable fixed points; when above

2.75, eight stable fixed points; and through successive bifurcations, an infinite hierarchy of stable cycles of the period 2n arises.

Chaos is rare in ecological systems, but a few examples show that chaos may occur. The best known example is the lemming population, where density (number per hectare) may fluctuate between two bifurcation values.

Was this article helpful?

0 0
10 Ways To Fight Off Cancer

10 Ways To Fight Off Cancer

Learning About 10 Ways Fight Off Cancer Can Have Amazing Benefits For Your Life The Best Tips On How To Keep This Killer At Bay Discovering that you or a loved one has cancer can be utterly terrifying. All the same, once you comprehend the causes of cancer and learn how to reverse those causes, you or your loved one may have more than a fighting chance of beating out cancer.

Get My Free Ebook


Post a comment