Nonlinear dynamics of interacting population in a marine ecosystem with a delay effect

Anal Chatterjee, Weihua Meng

Research output: Journal PublicationArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we propose a new tritrophic food chain model. We address the conditions for the coexistence of two different zooplankton species and one phytoplankton species. The results of the numerical and analytical studies of the model show that the most relevant parameters influencing the plankton ecosystem, to maintain a stable coexistence equilibrium, are the: carrying capacity and the constant intrinsic growth rate of the phytoplankton population, and the conversion rate with a mortality rate of carnivorous zooplankton. We prove the existence and direction of Hopf bifurcation in non delay system. To account for the time delay in the conversion of herbivorous consumption to carnivorous zooplankton, we incorporate a discrete delay into the consume response function. Furthermore, we establish some adequate conditions to prove the occurrence of Hopf bifurcation induced by delay in the delayed model. We also plot two-parameter bifurcation diagrams. The numerical results support the analytical findings.

Original languageEnglish
Pages (from-to)16639-16656
Number of pages18
JournalNonlinear Dynamics
Volume112
Issue number18
DOIs
Publication statusPublished - Sept 2024

Keywords

  • 92D25
  • 92D40
  • Bifurcation
  • Delay
  • Global sensitivity analysis
  • Plankton
  • Stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics

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