Preprint Article Version 1 This version is not peer-reviewed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 (doi: 10.20944/preprints202005.0504.v1). Baghel, R.S. Chaos and Pattern Formation in Spatial Phytoplankton Dynamics. Preprints 2020, 2020050504 (doi: 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.

Subject Areas

Reaction-diffusion equation; phytoplankton dynamics; Spatiotemporal pattern formation; Chaos; Local Stability

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