Managing Populations with Unimodal Dynamics

• 作者: Hyung Park Richard Levins Tamara Awerbuch
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Qualitative Analysis Difference Equations UNIMODAL DYNAMICS INTERVENTION Strategies Chaos LI-YORKE Criterion PEST Management Species ENRICHMENT Pre-Image Sets
• 年，卷（期）: 2013,（10）
• 页码范围: 85-91
• 页数: 7页
• 分类号: O1

摘要

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.