A limit set trichotomy for order-preserving systems on time scales

Abstract

In this paper we derive a limit set trichotomy for abstract order-preserving 2-parameter semiflows in normal cones of strongly ordered Banach spaces. Additionally, to provide an example, Muller's theorem is generalized to dynamic equations on arbitrary time scales and applied to a model from population dynamics.

Keywords

• Limit set trichotomy
• 2-parameter semiflow
• dynamic equation
• time scale.