title: Propagation of Turing patterns in a plankton model.
abstract: The paper is devoted to a reaction-diffusion system of equations describing phytoplankton and zooplankton distributions. Linear stability analysis of the model is carried out. Turing and Hopf stability boundaries are found. Emergence of two-dimensional spatial structures is illustrated by numerical simulations. Travelling waves between various stationary solutions are investigated. Transitions between homogeneous in space stationary solutions and Turing structures are studied.
authors.affiliation: Department of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand, 826004, India.
authors.forename: R K
authors.initials: RK
authors.lastname: Upadhyay
authors.forename: V
authors.initials: V
authors.lastname: Volpert
authors.forename: N K
authors.initials: NK
authors.lastname: Thakur
mesh_terms: D000818:Animals; D003198:Computer Simulation; D008954:Models, Biological; D010839:Phytoplankton / Q000502:physiology*; D011235:Predatory Behavior / Q000502:physiology; D013997:Time Factors; D014872:Water Movements; D015048:Zooplankton / Q000502:physiology*