Study on a Dynamical Model of Plankton in Lake Environment

Xi Yun Wang; Shu Yan Cao; Dong Guo Li

doi:10.4028/www.scientific.net/AMR.830.384

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 830Study on a Dynamical Model of Plankton in Lake...

Study on a Dynamical Model of Plankton in Lake Environment

Abstract:

To study the changes of biomass of plankton and algae in lake environment, a new model was purposed. We applied the methods of qualitative analysis and numerical simulations. The main results were that there was a periodic solution, a globally stable equilibrium in this model under specific conditions, respectively. In conclusion, as increases of rate c, on which plankton are swallowed, there is a static equilibrium, a dynamic equilibrium, and then the equilibrium disappear, and at last the boundary point is globally stable, which means that plankton become extinct.

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Periodical:

Advanced Materials Research (Volume 830)

Pages:

384-387

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.830.384

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Online since:

October 2013

Authors:

Xi Yun Wang, Shu Yan Cao, Dong Guo Li*

Keywords:

Dynamical Model, Plankton, Stability

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* - Corresponding Author

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