Plankton blooms and patchiness generated by heterogeneous physical environments

Stochastic models for phytoplankton dynamics in Mediterranean Sea

“…Moreover, the analysis confirmed some experimental and theoretical results obtained in recent works (Bengfort et al, 2014;Peters and Marrasé , 2000): (i) environments with intermediate values of turbulence are responsible for changes in the carrying capacity, causing positive effects in the growth rates of phytoplankton populations (Bengfort et al, 2014); (ii) strongly turbulent regimes can determine, in principle, negative effects on the phytoplankton growth. However, this negative influence has been never observed in real situations, appearing only in aquatic environments with artificial turbulence (Peters and Marrasé , 2000).…”

“…This approach was likely inspired by the prey-predator studies (Liu et al, 2008;Tian and Zhang, 2013;Bengfort et al, 2014), which introduce the prey concentration as a limiting factor of the predator concentration. The crucial role of the limiting resources has been relaunched in recent works (Klausmeier and Litchman, 2001;Huisman et al, 2002Huisman et al, , 2006Ryabov and Blausius, 2008;Ryabov et al, 2010;Ryabov, 2012), in which the authors modified the reaction term to reproduce the effects of two or more limiting factors on the phytoplankton dynamics.…”

Mathematical Modelling of Spatiotemporal Dynamics of Oxygen in a Plankton System

“…There is considerable literature concerned with various aspects of plankton dynamics in space and time. Conceptual prey-predator-type models to describe the phytoplankton and zooplankton interaction in marine ecosystems subject to turbulent mixing were considered in much detail in [4,16,20,21,31] but with no attention to the oxygen production. In another mathematical study, Edwards and Brindley [7] investigated the dynamics of a coupled plankton-nutrients system, but did not pay any attention to their possible relation to dissolved oxygen.…”

Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge

“…a and b here are given in (11). Applying the formula of the Liapunov number σ for the focus at the origin of (68) in [35], we obtain…”

“…For algal bloom, there have been extensive modelling studies to understand bloom dynamics by considering the factors, including nutrient, temperature, light, viral disease, harvesting, and toxin released by some phytoplankton and so on ( [5,6,7,8,9,10,11,12] and references therein). However, the potential effect of toxin released by phytoplankton on algae bloom does not receive much attention as it should.…”