Effects of toxicity and zooplankton selectivity on plankton dynamics under seasonal patterns of viruses with time delay

DOI10.1002/mma.7799OpenAlexW3200688760MaRDI QIDQ6148828

Samaresh Pal, Saswati Biswas, Pankaj Kumar Tiwari

Publication date: 12 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7799

zbMATH Keywords

chaostime delayseasonalityphytoplanktonzooplanktonfree virus

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Nonautonomous smooth dynamical systems (37C60) Synchronization of functional-differential equations (34K24)

Cites Work

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• Delay differential equations: with applications in population dynamics
• Determining Lyapunov exponents from a time series
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Coincidence degree, and nonlinear differential equations
• Effects of zooplankton selectivity on phytoplankton in an ecosystem affected by free-viruses and environmental toxins
• A nonautonomous model for the effect of environmental toxins on plankton dynamics
• A mathematical model for viral infection in toxin producing phytoplankton and zooplankton system