Recent progress in discrete population dynamics

作     者：Lindstrom, Torsten 

作者机构：Univ Kalmar Dept Pure & Appl Nat Sci S-39129 Kalmar Sweden 

出 版 物：《NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS》 (Nonlinear Anal Theory Methods Appl)

年 卷 期：2009年第71卷第12期

页      面：E2717-E2722页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Swedish Research Council 

主　　题：Mechanistic modeling Data-based modeling Topological conjugacy Predator-prey systems Food chain 

摘      要：The purpose of this lecture is to display recent results concerning the relation between discrete, continuous, and data-based population models. The lecture is organized as follows: ( 1) we begin by motivating why discrete models are used, under what circumstances, and for what purposes. ( 2) It is not obvious how discrete models should be derived and we show how discrete models are derived in our case. ( 3) We continue by discussing the relation between continuous and discrete models and their dynamical analogies. ( 4) We end up by discussing possible problems that appear as models fitted to data are used for making conclusions regarding its long-term behavior. (C) 2009 Elsevier Ltd. All rights reserved.