The discrete dynamics of monotonically decomposable maps.
We extend results of Gouzé and Hadeler (in Nonlinear World 1:23-34, 1994) concerning the dynamics generated by a map on an ordered metric space that can be decomposed into increasing and decreasing parts. Our main results provide sufficient conditions for the existence of a globally asymptotically stable fixed point for the map. Applications to discrete-time, stage-structured population models are given.
Smith
H L
HL
Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA. halsmith@asu.edu
D000465:Algorithms; D000818:Animals; D001723:Birth Rate; D008954:Models, Biological; D011156:Population Density; D011157:Population Dynamics; D014231:Tribolium / Q000254:growth & development