Transient Dynamics of a Stoichiometric Cyanobacteria Model via Multiple-Scale Analysis

Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach

“…Classically, light has been treated as a single resource and competitive exclusion is regularly predicted by mathematical models [6][7][8][9][10][11]. However, further investigation shows that phytoplankton species can absorb and utilize wavelengths with varying efficiencies, implying non-uniform absorption spectra [12][13][14][15].…”

“…Several attempts have been made to study phytoplankton competition and dynamics. Single species models have been well established and give good understanding of the governing dynamics of phytoplankton in general [8,9,16,17]. These studies include various modelling approaches including stoichiometric modelling [9], non-local reactiondiffusion equations [8,16] and complex limnological interactions [18].…”

“…Single species models have been well established and give good understanding of the governing dynamics of phytoplankton in general [8,9,16,17]. These studies include various modelling approaches including stoichiometric modelling [9], non-local reactiondiffusion equations [8,16] and complex limnological interactions [18]. Non-local reaction diffusion equations are beneficial to the study of phytoplankton population because they are capable of capturing light availability after attenuation throughout the water column, modelling diffusion and buoyancy/sinking of phytoplankton, and there exists a myriad of mathematical tools and theories to aid in their analysis.…”

Coupling the socio-economic and ecological dynamics of cyanobacteria: single lake and network dynamics

“…Many phytoplankton models have been used for the study of algal dynamics and take various forms including discrete time models, ODEs and PDES. In this study we extend a stoichiometric model that has been well established in the literature [24][25][26]. Ecological stoichiometry is defined as the study of the balance of energy and resources in ecological systems [27].…”

“…For example, ecological stoichiometry has been used to study predator prey systems [28,29], producergrazer systems [30,31], phytoplankton dynamics [25,32], toxicology [33] and plant-disease dynamics [34] with great success. Ecological stoichiometry has been used to discuss the timescale separation between nutrient uptake and both algal growth and available nutrient depletion in Heggerud, Wang, and Lewis [24]. Separation of timescales allowed for the indepth study of algal transient dynamics and driving mechanisms.…”