Article
Version 1
Preserved in Portico This version is not peer-reviewed
Chaos and Pattern Formation in Spatial Phytoplankton Dynamics
Version 1
: Received: 29 May 2020 / Approved: 31 May 2020 / Online: 31 May 2020 (20:31:07 CEST)
How to cite: Baghel, R.S. Chaos and Pattern Formation in Spatial Phytoplankton Dynamics. Preprints 2020, 2020050504. https://doi.org/10.20944/preprints202005.0504.v1 Baghel, R.S. Chaos and Pattern Formation in Spatial Phytoplankton Dynamics. Preprints 2020, 2020050504. https://doi.org/10.20944/preprints202005.0504.v1
Abstract
In this paper the dynamics of spatially extended infected phytoplankton with the Holling type II functional response and logistically growing susceptible phytoplankton system is studied. The proposed model is an extension of temporal model available [6], in spatiotemporal domain. The reaction diffusion system exhibits spatiotemporal chaos in phytoplankton dynamics. This is particularly important for the spatially extended systems that are studied in this paper as they display a wide spectrum of ecologically relevant behavior, including chaos. In this system stability of the system is studied with respect to disease contact rate and the growth fraction of infected phytoplankton indirectly rejoin the susceptible phytoplankton population. The results of numerical experiments in one dimension and two dimensions in space as well as time series in temporal models are presented using MATLAB simulation. Moreover, the stability of the corresponding temporal model is studied analytically. Finally, the comparison of the three types of numerical experimentations are discussed in conclusion.
Keywords
Reaction-diffusion equation; phytoplankton dynamics; Spatiotemporal pattern formation; Chaos; Local Stability
Subject
Computer Science and Mathematics, Computational Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
