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language
eng
Author
Zheng, Wei School of Mathematical Sciences, Heilongjiang University, Harbin
Description
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.
Subject
Phytoplankton–zooplankton–fish system
Global asymptotic stability
Equiasymptotically stable
Weakly integrally positive
Journal Title
Nonlinear Analysis: Real World Applications
Volume
46
Start Page
116
End Page
136
Published Date
2019-04
DOI
NII Type
Journal Article
Format
PDF
Text Version
著者版
OAI-PMH Set
Faculty of Science and Engineering
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