Turing and Non-Turing patterns in diffusive plankton model

In this paper, we investigate a Rosenzweig-McAurthur model and its variant for phytoplankton, zooplankton and fish population dynamics with Holling type II and III functional responses. We present the theoretical analysis of processes of pattern formation that involves organism distribution and thei...

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Bibliographic Details
Published in:Computational ecology and software 2015-03, Vol.5 (1), p.16-27
Main Author: Thakur, N K
Format: Article
Language:English
Subjects:
Computer programs
Diffusion
Dynamic tests
Fish
Fish populations
Formations
functional response
Mathematical models
Organisms
Phytoplankton
Plankton
plankton system
Rosenzweig-McAurthur model
spatiotemporal pattern
Theoretical analysis
Turing domain
Zooplankton
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Summary:In this paper, we investigate a Rosenzweig-McAurthur model and its variant for phytoplankton, zooplankton and fish population dynamics with Holling type II and III functional responses. We present the theoretical analysis of processes of pattern formation that involves organism distribution and their interaction of spatially distributed population with local diffusion. The choice of parameter values is important to study the effect of diffusion, also it depends more on the nonlinearity of the system. With the help of numerical simulations, we observe the formation of spatiotemporal patterns both inside and outside the Turing space.
ISSN:2220-721X
2220-721X
DOI:10.0000/issn-2220-721x-compuecol-2015-v5-0002