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BIFURCATION ANALYSIS OF AN ALLELOPATHIC PHYTOPLANKTON MODEL.

Authors :
CHEN, SHANGMING
CHEN, FENGDE
LI, ZHONG
CHEN, LIJUAN
Source :
Journal of Biological Systems; Sep2023, Vol. 31 Issue 3, p1063-1097, 35p
Publication Year :
2023

Abstract

This paper analyzes an allelopathic phytoplankton competition model, which was proposed by Bandyopadhyay [Dynamical analysis of a allelopathic phytoplankton model, J Biol Syst14(02):205–217, 2006]. Our study refines the previous results and finds at most three positive equilibria for the system. The existence conditions of all positive equilibria and the corresponding stability cases are given in the paper. Interesting dynamical phenomena such as bistability, saddle-node bifurcation, and cusp bifurcation are found. It is shown that the rate of toxin releases heavily influences the positive equilibria of the system under certain conditions. Numerical simulations verify the feasibility of the theoretical results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02183390
Volume :
31
Issue :
3
Database :
Complementary Index
Journal :
Journal of Biological Systems
Publication Type :
Academic Journal
Accession number :
170750473
Full Text :
https://doi.org/10.1142/S0218339023500365