Qualitative Analysis of Nutrient-Phytoplankton Models
Abstract
We propose two nutrient-phytoplankton models with instantaneous and time delayed recyclings, investigate the dynamics and examine the responses to model complexities. We use geometrical and analytical methods to discuss the existence and stability of the possible steady state solutions and study the occurrence of Hopf bifurcation. Numerical simulations illustrate the analytical results and provide further insight into the dynamics of the model, biological interpretations are given.
- Publication:
-
Advances in Mathematical and Computational Methods: Addressing Modern Challenges of Science, Technology, and Society
- Pub Date:
- November 2011
- DOI:
- 10.1063/1.3663480
- Bibcode:
- 2011AIPC.1368..143C
- Keywords:
-
- aquaculture;
- bifurcation;
- numerical analysis;
- decomposition;
- 92.20.jf;
- 02.30.Oz;
- 02.60.Cb;
- 82.30.Lp;
- Phytoplankton;
- Bifurcation theory;
- Numerical simulation;
- solution of equations;
- Decomposition reactions