LIGHT DRIVEN INTERACTIONS IN SPATIAL PREDATOR-PREY CHEMOTAXIS MODEL IN THE PRESENCE OF CHEMICAL AGENTAKIF IBRAGIMOV, ANGELA PEACE (pp. 222-244)
Abstract.We develop and analyze a spatial temporal model of light driven ecotoxicological processes, motivated by an aquatic predator-prey system of algae and Daphnia subject to a contaminant. Population dynamics are driven by light, which is periodic in time and varies with spatial depth. The existence and uniqueness of spatial and temporal dependent periodic solutions are shown and analytical functions of the solutions under parameter constraints are presented.
Keywords: periodic light, ecotoxicology and population dynamics, Turing stability.