Dynamics of a nutrient-plankton model with delay and toxicity

Rajinder Pal Kaur, Amit Sharma, Anuj Kumar Sharma

Abstract


In this paper, a dynamical system exploring the nutrient-plankton interaction has been studied to determine the impact of toxin liberation delay. It is well known that the toxins liberated by phytoplankton species are harmful to the growth and the life cycle of zooplankton species. Moreover, the process of toxin liberation is not immediate, but it follows some time delay. We have observed many significant features of the given model system like boundedness, positivity, Hopf-bifurcation and its direction, etc. From the analysis of this model, it is observed that the toxin liberation delay can include complexity in the system as time delay passes through its critical value. All analytical results are verified through numerical simulations, and some significant findings are interpreted from the ecological point of view.

Full Text: PDF

Published: 2021-01-27

How to Cite this Article:

Rajinder Pal Kaur, Amit Sharma, Anuj Kumar Sharma, Dynamics of a nutrient-plankton model with delay and toxicity, J. Math. Comput. Sci., 11 (2021), 1076-1092

Copyright © 2021 Rajinder Pal Kaur, Amit Sharma, Anuj Kumar Sharma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

J. Math. Comput. Sci.

ISSN: 1927-5307

Editorial Office: jmcs@scik.org

 

Copyright ©2021 JMCS