Managing Populations with Unimodal Dynamics

HTML  XML Download Download as PDF (Size: 353KB)  PP. 85-91  
DOI: 10.4236/am.2013.410A2009    3,231 Downloads   5,120 Views  Citations

ABSTRACT

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 populations.

Share and Cite:

R. Levins, T. Awerbuch and H. Park, "Managing Populations with Unimodal Dynamics," Applied Mathematics, Vol. 4 No. 10B, 2013, pp. 85-91. doi: 10.4236/am.2013.410A2009.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.