Persistence of a competition model of plankton allelopathy in time–space periodic environment

This work is devoted to the study of a competition model of plankton allelopathy imposed in time-space periodic environment. We prove that the system admits positive periodic solutions under certain conditions. We further obtain some sufficient conditions for the uniqueness and global stability of t...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 79; p. 104136
Main Authors Du, Li-Jun, Zhang, Li, Cao, Qian
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2024
Subjects
Competition system
Existence
Plankton allelopathy
Stability
Uniqueness
Plankton allelopathy
Stability
Competition system
Existence
Uniqueness
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Summary:This work is devoted to the study of a competition model of plankton allelopathy imposed in time-space periodic environment. We prove that the system admits positive periodic solutions under certain conditions. We further obtain some sufficient conditions for the uniqueness and global stability of the positive periodic solution, which shows that the model is persistent. The main tools for our arguments are comparison theorems based on the maximum principle, sub- and supersolutions method, and an iteration method, which also permit the treatment of some more general reaction–diffusion models in periodic environment.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2024.104136