Managing Populations with Unimodal Dynamics
Managing Populations with Unimodal Dynamics作者机构：Department of Biostatistics Harvard University Boston USA Department of Global Health and Population Harvard University Boston USA
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2013年第4卷第10期
页 面：85-91页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Qualitative Analysis Difference Equations Unimodal Dynamics Intervention Strategies Chaos Li-Yorke Criterion Pest Management Species Enrichment Pre-Image Sets
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.
维普期刊数据库