Nutrient-phytoplankton-zooplankton interaction with variable yields

• Autorzy: Joydeb Bhattacharyya , Samares Pal
• Języki publikacji: EN

Abstrakty

EN

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 circumstances global stability of the system is obtained in the absence of the predator at the highest trophic level. Moreover, it is shown that the system undergoes Hopf bifurcation if the break-even concentration crosses a certain critical value. Computer simulations have been carried out to illustrate various analytical results.

Kategorie tematyczne

• 92B05: General biology and biomathematics
• 92D25: Population dynamics (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2013
• Tom: 40
• Numer: 3
• Strony: 327-349

Daty

wydano

2013

Twórcy

autor

Joydeb Bhattacharyya

• Department of Mathematics, University of Kalyani, Kalyani 741235, India

autor

Samares Pal

• Department of Mathematics, University of Kalyani, Kalyani 741235, India

Identyfikatory

DOI

10.4064/am40-3-5