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We develop and analyze a spatial temporal model of light drivenecotoxicological processes, motivated by an aquatic predator-prey system ofalgae and \textsl{Daphnia} subject to a contaminant. Population dynamics aredriven by light, which is periodic in time and varies with spatial depth. Theexistence and uniqueness of spatial and temporal dependent periodic solutionsare shown and analytical functions of the solutions under parameter constraintsare presented. We conduct Turing stability analyses of solutions with respectto perturbations of initial conditions. Given a perturbation to a periodicequilibrium state, we show the system will return to this equilibrium state aslong as motility is fast enough and/or the reservoir depth is shallow enough.Analytical results assume some Dirichlet boundary conditions that match theperiodic equilibrium state, however numerical simulations with more relaxedboundary conditions capture similar periodic solutions. The work sheds lightonto spatially dependent population dynamics that are driven by periodicforces, such as light levels.

Light driven interactions in spatial predator-prey model with toxicant chemotaxis