Spatiotemporal Dynamics in a Spatial Plankton System

Spatiotemporal Dynamics in a Spatial Plankton System

In this paper, we investigate the complex dynamics of a spatial plankton-fish system with Holling type III functional responses. We have carried out the analytical study for both one and two dimensional system in details and found out a condition for diffusive instability of a locally stable equilibrium. Furthermore, we present a theoretical analysis of processes of pattern formation that invol...

Spatial Patterns and Spatiotemporal Dynamics in Chemical Systems

STABILITY ANALYSIS OF A PLANKTON SYSTEM WITH DELAY

This paper is evolved to have insight of Plankton-Nutrients interactions in the presence of delay in the growth term of phytoplankton species .The conditions for asymptotic stability about endemic equilibrium are derived in the absence of delay.The Nyquist criteria is used to estimate the length of delay to preserve stability .Analytic criterion for the existence of hopf-bifurcation is also dis...

Small-scale spatial structure in plankton distributions

The observed filamental nature of plankton populations suggests that stirring plays an important role in determining their spatial structure. If diffusive mixing is neglected, the various interacting biological species within a fluid parcel are determined by the parcel time history. The induced spatial structure has been shown to be a result of competition between the time evolution of the biol...

Plankton dynamics and mesoscale turbulence

In aquatic ecosystems, primary production (the transformation of inorganic materials and light into living matter by photosynthesis) is operated mainly by small, unicellular algae that float freely in the upper layers of oceans and lakes and are collectively called phytoplankton, see for an illustration the phytoplankters depicted in figure 1. Since phytoplankton need light, they are confined t...