Non-linear analysis of nitrogen cycle in aquatic ecosystems
- 1 January 1980
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 11 (7) , 803-816
- https://doi.org/10.1080/00207728008967056
Abstract
In this paper, s mathematical model of the nitrogen cycle in aquatic ecosystems is proposed for studying eutrophication in bodies of water. It is presented that for some parameter values all equilibrium states of the system become unstable and a stable limit cycle appears. This is explained by a Hopf bifurcation. The conditions under which the Hopf bifurcation occurs are obtained by the detailed analysis of the model. Some results of numerical computations are also presented.This publication has 4 references indexed in Scilit:
- Dynamics of the nitrogen cycle in a lake and its stabilityEcological Modelling, 1976
- Some Simple Nonlinear Dynamic Models of Interacting Element Cycles in Aquatic EcosystemsJournal of Dynamic Systems, Measurement, and Control, 1976
- The Hopf Bifurcation and Its ApplicationsPublished by Springer Nature ,1976
- A Dynamic Model of the Phytoplankton Population in the Sacramento—San Joaquin DeltaPublished by American Chemical Society (ACS) ,1971