言語
英語
著者
Zheng, Wei School of Mathematical Sciences, Heilongjiang University, Harbin
内容記述(抄録等)
In this paper, we consider a three-species system which consists of phytoplankton, zooplankton and fish. It is well known that zooplankton are harvested by other creatures besides fish, and it has been reported that zooplankton can absorb energy from other micro-organisms besides phytoplankton in recent decades. For this reason, we add the parts of extra energy source and harvesting effect in the model. Taking account of seasonal variation which can bring affects to many aspects of plankton population, we assume that some factors about the phytoplankton and the zooplankton are time-dependent. In particular, since the environment does not change regularly, we does not require these time-varied factors are periodic, which is quite different with most ecological models. The purpose of this paper is to present sufficient conditions which guarantee that the equilibrium of this three-species system is globally asymptotically stable. Moreover, we will show that the equilibrium is equiasymptotically stable under relatively weaker conditions.
主題
Phytoplankton–zooplankton–fish system
Global asymptotic stability
Equiasymptotically stable
Weakly integrally positive
掲載誌名
Nonlinear Analysis: Real World Applications
46
開始ページ
116
終了ページ
136
発行日
2019-04
DOI
資料タイプ
学術雑誌論文
ファイル形式
PDF
著者版/出版社版
著者版
部局
総合理工学部