%0 Journal Article %T A limit set trichotomy for order-preserving systems on time scales %A Christian Poetzsche %A Stefan Siegmund %J Electronic Journal of Differential Equations %D 2004 %I Texas State University %X 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. %K Limit set trichotomy %K 2-parameter semiflow %K dynamic equation %K time scale. %U http://ejde.math.txstate.edu/Volumes/2004/64/abstr.html