In this work, we analyzed the impact of interventions on populations which exhibit unimodal dynamics. The six landmarks that characterize the “shape” of the unimodal reproduction curve f ( x ) of
the difference equation, X n+1 = f ( X n ) , are defined and used in
order to examine and determine the behavior of dynamics of populations. By using the Li-Yorke criterion for determination of chaos we propose a
qualitative intervention rule that can be applied without any explicit population equation. This proposed strategy for intervention
brings out many interesting behaviors
in population dynamics. A qualitative decision rule can be applied with a
straight edge without any population
equation and therefore offers a robust strategy for the management of
Cite this paper
R. Levins, T. Awerbuch and H. Park, "Managing Populations with Unimodal Dynamics," Applied Mathematics
, Vol. 4 No. 10, 2013, pp. 85-91. doi: 10.4236/am.2013.410A2009
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