A nonlinear ergodic theorem for discrete systems

✍ Scribed by Kathleen M. Crowe

• Publisher: Springer
• Year: 1994
• Tongue: English
• Weight: 569 KB
• Volume: 32
• Category: Article
• ISSN: 0303-6812
• DOI: 10.1007/bf00163877

✦ Synopsis

A theorem concerning the asymptotic behavior of a general class of systems of difference equations is proven. This theorem guarantees the existence of a stable normalized distribution vector, and enables the constructing of a scalar limiting equation for an aggregate variable. This theory is illustrated using an example from population dynamics, a nonlinear size-structured model of competition for a dynamically modeled limiting resource.