THE DYNAMICS OF A MODEL OF A PLANKTON NUTRIENT INTERACTION

被引：22

作者：

BUSENBERG, S

KUMAR, SK

AUSTIN, P

WAKE, G

机构：

[1] MASSEY UNIV,DEPT MATH & STAT,PALMERSTON NORTH,NEW ZEALAND

[2] MASSEY UNIV,DEPT PROD TECHNOL,PALMERSTON NORTH,NEW ZEALAND

来源：

BULLETIN OF MATHEMATICAL BIOLOGY | 1990年 / 52卷 / 05期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/BF02462105

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A stability analysis is given for a model of plankton dynamics introduced by Wroblewski et al. (Global Biogeochem. Cycles2, 199-218, 1988). The detailed dependence of the steady-states and their stability on the various model parameters is explicitly presented and analysed. It is shown that under certain conditions the coexistence of phytoplankton and zooplankton occurs in an orbitally stable oscillatory mode. A distinguished parameter is varied and the steady-states computed. The significance of the lack of stable steady-states leading to periodic population levels is investigated and related to certain oceanographic data. © 1990 Society for Mathematical Biology.

引用

页码：677 / 696

页数：20

共 10 条

[1]

BUSENBERG SN, 1989, ANAL DISEASE TRANSMI

[2]

EVANS G T, 1985, Biological Oceanography, V3, P327

[3] GRAZING CONTROL OF PHYTOPLANKTON STOCK IN THE OPEN SUB-ARCTIC PACIFIC-OCEAN - A MODEL ASSESSING THE ROLE OF MESOZOOPLANKTON, PARTICULARLY THE LARGE CALANOID COPEPODS NEOCALANUS SPP [J].