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NUTRIENT-PHYTOPLANKTON-ZOOPLANKTON DYNAMICS IN THE PRESENCE OF ADDITIONAL FOOD SOURCE — A MATHEMATICAL STUDY

SUBHENDU CHAKRABORTY

Agricultural and Ecological Research Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata 700108, India

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and

JOYDEV CHATTOPADHYAY

Agricultural and Ecological Research Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata 700108, India

Corresponding author.

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https://doi.org/10.1142/S0218339008002654Cited by:25 (Source: Crossref)

Abstract

In the present paper we propose four nutrient-phytoplankton-zooplankton models with and without additional food source. Each of the models is incorporated with the influence of toxin released by phytoplankton population. Existence and local stability analysis are performed for each of the models. Extensive numerical experiments are performed to observe the global dynamics of the model system. Our observations indicate that the chance of extinction of population decreases due to additional food source even if in the presence of toxin released by phytoplankton.

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