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Nutrient-phytoplankton-zooplankton interaction with variable yields

Joydeb BhattacharyyaSamares Pal — 2013

Applicationes Mathematicae

A three dimensional predator-prey-resource model is proposed and analyzed to study the dynamics of the system with resource-dependent yields of the organisms. Our analysis leads to different thresholds in terms of the model parameters acting as conditions under which the organisms associated with the system cannot thrive even in the absence of predation. Local stability of the system is obtained in the absence of one or more of the predators and in the presence of all the predators. Under appropriate...

Herbivore harvesting and alternative steady states in coral reefs

Ikbal Hossein SarkarJoydeb BhattacharyyaSamares Pal — 2021

Applications of Mathematics

Coral reefs can undergo relatively rapid changes in the dominant biota, a phenomenon referred to as phase shift. Degradation of coral reefs is often associated with changes in community structure towards a macroalgae-dominated reef ecosystem due to the reduction in herbivory caused by overfishing. We investigate the coral-macroalgal phase shift due to the effects of harvesting of herbivorous reef fish by means of a continuous time model in the food chain. Conditions for local asymptotic stability...

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