Mathematicians and biologists have presented various models to describe patterns found in biological systems. In 1952, Alan Turing proposed a reaction-diffusion model where diffusion acts as a destabilizing effect, leading to pattern formation. This idea of diffusive instability is contrary to the typical notion of diffusion as a smoothing influence. Using linear stability analysis and numerical simulations, we investigate pattern formation caused by diffusive instability. By varying properties of the system, we simulate patterns found in nature.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Kronrod, Yakov
• Lally, Megan A.

Publisher

• Worcester Polytechnic Institute

Identifier

• 01E002M

Advisor

• Jordan, Richard
• Weekes, Suzanne L.

Year

• 2001

Date created

• 2001-01-01

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright