Cinzia Soresina (University of Trento)

The seminar will take place on Zoom at the following link: https://univ-cotedazur.zoom.us/j/5698369814Short URLNone\nTitle: Beyond water limitation in autotoxicity patterning: a cross-diffusion model\nAbstract : Autotoxicity effect in plant growth dynamics refers to negative plant-soil feedback due to the decomposed biomass of the plant on its own growth.  We propose a cross-diffusion model obtained as the fast-reaction limit, which allows the formation of spatial patterns without introducing water as a variable. A deeper understanding of the conditions required for non-homogeneous steady states to exist is provided by combining a detailed linear analysis with advanced numerical bifurcation methods via the continuation software pde2path and numerical simulations. Among the stable patterns observed, it is worth noting the presence of double-peak pulses of biomass in one-dimensional domains, which are equivalent to reinforced boundaries for the irregular spots forming on two-dimensional domains, for a wide region of parameter space.\n \nJoint work with Sara Bonacina, Francesco Giannino, and Annalisa Iuorio.F. Cartenì, A. Marasco,  G. Bonanomi,  S. Mazzoleni,  M. Rietkerk, F. Giannino, Negative plant soil feedback explaining ring formation in clonal plants, Journal of Theoretical Biology, 313:153–161, 2012.F. Giannino, A. Iuorio, C. Soresina, Beyond water limitation in vegetation–autotoxicity patterning: A cross-diffusion model, Physica D: Nonlinear Phenomena, 493: 135230, 2026.\nJ. Morgan, C. Soresina, B.Q. Tang, B.-N. Tran, Singular limit and convergence rate via projection method in a model for plant-growth dynamics with autotoxicity, Journal of Differential Equations,  452:13797, 2026.\n\nhttps://indico.math.cnrs.fr/event/16529/