Professor Ehud Meron   -   Ben Gurion University of the Negev

 

Recent Publications Ostwald ripening in dryland vegetation , to appear in Comm. Pure. Appl. Anal., with A.Y. Kletter and J. von Hardenberg. Pattern-formation approach to modelling spatially extended ecosystems , to appear in Ecol. Mod.. Existence theorem for a model of dryland vegetation , Disc. Cont. Dyn. Sys., 16, 197-224 (2011), with Y. Goto, D. Hilhorst and R. Temam. Mechanisms of vegetation-ring formation in water-limited systems , J. Theor. Biol., 273, 138-146 (2011), with E. Sheffer, , H. Yizhaq, and M. Shachak. Modeling dryland landscapes , Math. Model. Nat. Phenom., 6, 163-187 (2011). Periodic versus scale-free patterns in dryland vegetation , Proc. R. Soc. B, 80, 1771-1776 (2010), with J. von Hardenberg, A.Y. Kletter, H. Yizhaq, and J. Nathan. Dual-mode spiral vortices , Phys. Rev. E, 80, 065203 (2009), with Y. Mau and A. Hagberg. Wavenumber locking and pattern formation in spatially forced systems, New Journal of Physics , 11, 063016 (2009), with R. Manor and A. Hagberg. Patterned vegetation and rainfall intermittency, J. Theoretical Biology , 256, 574-583 (2009), with A. Kletter, J. von Hardenberg J. and A. Provenzale. Wavenumber locking in spatially forced pattern-forming systems, Europhys. Lett., 83, 10005 (2008), with R. Manor and A. Hagberg. Woody Species as Landscape Modulators and their Effect on Biodiversity Patterns , Bioscience, 58, 209-221 (2008), with M. Shachak, B. Boeken, E. Groner, R. Kadmon, Y. Lubin, G. Neeman, A. Perevolotsky, Y. Shkedy and E. Ungar. Localized structures in dryland vegetation: forms and functions , Chaos, 17, 037109 (2007), with H. Yizhaq and E. Gilad. Model studies of Ecosystem Engineering in Plant Communities, in Ecosystem Engineers: Plants to Protists, K. Cuddington, J. Byers, A. Hastings and W. Wilson (Academic Press, 2007) , with E. Gilad, J. von Hardenberg, A. Provenzale and M. Shachak. Dynamics of plant communities in drylands: A pattern formation approach, in Complex Population Dynamics: Nonlinear Modeling in Ecology, Epidemiology and Genetics, B. Blasius, J. Kurths, and L. Stone, Eds. (World-Scientific, 2007), with E. Gilad. Why do plants in resource deprived environments form rings? Ecological Complexity, 4, 192-200 (2007), with E. Sheffer, H. Yizhaq, E. Gilad and M. Shachak. Dynamics and spatial organization of plant communities in water limited systems, Theor. Pop. Biol. , 72, 214-230 (2007), with E. Gilad and M. Shachak. A mathematical Model for Plants as Ecosystem Engineers, J. Theor. Biol., 244, 680-691 (2007), with E. Gilad, J. von Hardenberg, A. Provenzale, and M. Shachak. Localized structures as spatial hosts for unstable modes, Europhys. Lett., 78, 14002 (2007), with A. Lampert. Linear and Nonlinear Front Instabilities in Bistable Systems, Physica D, 217, 186-192 (2006), with A. Hagberg, A. Yochelis, H. Yizhaq and L. Pismen. Resonant and non-resonant patterns in forced oscillations, Chaos, 16, 037113 (2006), with B. Marts, A. Hagberg and A.L. Lin. Banded vegetation: Biological Productivity and Resilience , Physica A, 356, 139-144 (2005), with H. Yizhaq and E. Gilad. Bloch-Front Turbulence: Theory and Experiments, Physica A, 356, 88-94 (2005), with A. Hagberg, B. Marts and A.L. Lin. Frequency locking in extended systems: The impact of a Turing mode, Europhys. Lett., 69, 170-176 (2005), with A. Yochelis, C. Elphick and A. Hagberg. Two-Phase Resonant Patterns in Forced Oscillatory Systems: Boundaries, Mechanisms and Forms, Physica D, 199, 201-222 (2004), with A. Yochelis, C. Elphick and A. Hagberg. Bloch-Front Turbulence in a Periodically Forced Belousov-Zhabotinsky Reaction, Phys. Rev. Lett. , 93, 108305(1-4) (2004), with B. Marts, A. Hagberg and A.L. Lin Ecosystem Engineers: From Pattern Formation to Habitat Creation, Phys. Rev. Lett. , 93, 098105(1-4) (2004), with E. Gilad, J. von Hardenberg, A. Provenzale, and M. Shachak. Resonance tongues and patterns in periodically forced reaction-diffusion systems, Phys. Rev. E, 69, 066217 (2004), with A.L. Lin, A. Hagberg. and H.L. Swinney. A Mathematical Model of Segregation Patterns in Residential Neighbourhoods, Environment and Planning A, 36, 149-172 (2004), with H. Yizhaq and B.A. Portnov. Vegetation patterns along a rainfall gradient, Chaos, Solitons & Fractals, 19, 367-376 (2004), with E. Gilad, J. von Hardenberg, M. Shachak and Y. Zarmi. Vortex-pair dynamics in anisotropic bistable media: A kinematic approach, Phys. Rev. Lett. 91, 224503 (2003), with A. Hagberg. Development of standing-wave labyrinthine patterns, SIAM Journal on Applied Dynamical Systems 1, 236 (2002), with A. Yochelis, A. Hagberg, A. L. Lin, and H. L. Swinney. Survival of Bacteria in Drylands: The Advantage of Being Dormant , Proceedings of the Royal Society B269, 937 (2002), with M. Baer, J. von Hardenberg, and A. Provenzale. Urban Segregation as a Nonlinear Phenomenon, Nonlinear Dynamics, Psychology, & Life Sciences 6 , 269 (2002), with Y. Yizhaq. Pattern Formation on Anisotropic and Heterogeneous Catalytic Surfaces, Chaos 12 , 204 (2002), with M. Baer and C. Utzny. Front Dynamics in Catalytic Surface Reactions, Catalysis Today 70 , 331 (2001), with M. Baer, A. Hagberg and U. Thiele. Diversity of Vegetation Patterns and Desertification, Phys. Rev. Lett. 87 , 198101 (2001), with J. von Hardenberg, M. Shachak and Y. Zarmi.