ECOLOGICAL CHAOS IN THE WAKE OF INVASION

被引:145
作者
SHERRATT, JA
LEWIS, MA
FOWLER, AC
机构
[1] UNIV UTAH,DEPT MATH,SALT LAKE CITY,UT 84112
[2] MATH INST,OXFORD OX1 3LB,ENGLAND
关键词
D O I
10.1073/pnas.92.7.2524
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Irregularities in observed population densities have traditionally been attributed to discretization of the underlying dynamics. We propose an alternative explanation by demonstrating the evolution of spatiotemporal chaos in reaction-diffusion models for predator-prey interactions. The chaos is generated naturally in the wake of invasive waves of predators. We discuss in detail the mechanism by which the chaos is generated. By considering a mathematical caricature of the predator-prey models, we go on to explain the dynamical origin of the irregular behavior and to justify our assertion that the behavior we present is a genuine example of spatiotemporal chaos.
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页码:2524 / 2528
页数:5
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