
doi: 10.1007/bf01068203
Summary: We investigate the properties of the integral model of the dynamics of biomass density. We show that boundedness of the solutions in the integral model is determined by the properties of the local model. We examine the conditions for the appearance of stable nonhomogeneous distributions under homogeneous and stationary external conditions.
stability of spatially homogeneous stationary solutions, Lyapunov function, Ecology, Stability theory for integral equations, stable nonhomogeneous distributions, Integro-partial differential equations, boundedness of solutions, Qualitative behavior of solutions to integral equations, dynamics of biomass density, Computational methods for problems pertaining to biology, bifurcations
stability of spatially homogeneous stationary solutions, Lyapunov function, Ecology, Stability theory for integral equations, stable nonhomogeneous distributions, Integro-partial differential equations, boundedness of solutions, Qualitative behavior of solutions to integral equations, dynamics of biomass density, Computational methods for problems pertaining to biology, bifurcations
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