The SIAM Journal on Applied Dynamical Systems (SIADS) publishes research articles on the mathematical analysis and modeling of dynamical systems and its application to the physical, engineering, life, and social sciences. SIADS is published in electronic format only. The use of color, animated visualizations, and internal linking is strongly encouraged where it enhances the exposition, but papers without these enhancements are accepted as well; review is based on research content.
Mathematical models with complicated dynamics for disease study
A paper to be published this week in the SIAM Journal on Applied Dynamical Systems presents a mathematical model to study the effects of individual movement on infectious disease spread.
Putting a number on opinion dynamics in a population
Opinion formation in a large population is influenced by both endogenous factors, such as interaction with one's peers—in-person and via social media—as well as exogenous factors, such as the media, of which mainstream ...
Stabilizing aircraft during takeoff and landing using math
One of the lesser known concerns about commercial aircraft is their stability on the ground during taxiing, takeoff, and landing. During these processes, planes must maintain stability under various operating conditions. ...
How does innovation take hold in a community? Math modeling can provide clues
Mathematical models can be used to study the spread of technological innovations among individuals connected to each other by a network of peer-to-peer influences, such as in a physical community or neighborhood. One such ...
Traveling waves model tumor invasion
Cell migration, which is involved in wound healing, cancer and tumor growth, and embryonic growth and development, has been a topic of interest to mathematicians and biologists for decades.