The Spatio-Temporal Study of a Planktonic System Having Toxin Producing and Infected Phytoplankton Species

This paper deals with the spatially homogeneous and inhomogeneous planktonic system with toxin-producing and infectious phytoplankton species. For the spatially homogeneous framework, the asymptotic conduct of various possible equilibrium points and the presence of Hopf-bifurcation around the endemi...

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Bibliographic Details
Published inDifferential equations and dynamical systems Vol. 33; no. 1; pp. 141 - 175
Main Authors Kaur, Harpreet, Agnihotri, Kulbhushan, Melese, Dawit
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.01.2025
Subjects
Computer Science
Engineering
Mathematics
Mathematics and Statistics
Original Research
Infection
Reaction diffusion equations
Toxin producing phytoplankton
Zooplankton
Turing stability
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Summary:This paper deals with the spatially homogeneous and inhomogeneous planktonic system with toxin-producing and infectious phytoplankton species. For the spatially homogeneous framework, the asymptotic conduct of various possible equilibrium points and the presence of Hopf-bifurcation around the endemic equilibrium point are investigated. Turing instability of the endemic equilibrium solution is explored for the model system with zero-flux boundary constraints. In particular, the parameters concerning the Turing instability domains are determined. The findings of numerical simulations exhibit the formation of ring-shaped patterns, moon-shaped patterns, spiral patterns, and chaotic patterns with different population density distribution over the spatial domain.
ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-023-00646-x