Effects of gradual spatial variation in resources on population extinction Analytic calculations for abrupt transitions

被引：8

作者：

Kumar, Niraj ^{[1
]}

Kenkre, V. M.

机构：

[1] Univ New Mexico, Consortium Amer Interdisciplinary Sci, Albuquerque, NM 87131 USA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2011年 / 390卷 / 02期

关键词：

Population extinction; Fisher equation; Abrupt transition;

D O I：

10.1016/j.physa.2010.09.026

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study bifurcations in a spatially extended nonlinear system representing population dynamics with the help of analytic calculations The result we obtain helps in the understanding of the onset of abrupt transitions leading to the extinction of biological populations The result is expressed in terms of Airy functions and sheds light on the behavior of bacteria in a Petri dish as well as of large animals such as rodents moving over a landscape (C) 2010 Elsevier B V All rights reserved

引用

页码：257 / 262

页数：6

共 14 条

[1] THE EFFECTS OF SCHEDULES OF REINFORCEMENT AND GRADUAL OR ABRUPT INCREASES IN REWARD MAGNITUDE ON RESISTANCE TO EXTINCTION
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