The Effects of Inter-plant Interactions and Density-dependent Disturbances on Vegetation Pattern Formation

2006 ◽  
Vol 21 (2) ◽  
pp. 259-270
Author(s):  
Dan Malkinson ◽  
Ronen Kadmon
2020 ◽  
Vol 410 ◽  
pp. 132534 ◽  
Author(s):  
Punit Gandhi ◽  
Sara Bonetti ◽  
Sarah Iams ◽  
Amilcare Porporato ◽  
Mary Silber

2014 ◽  
Vol 707 ◽  
pp. 263-266
Author(s):  
Tou Sheng Huang ◽  
Hua Yong Zhang ◽  
Fei Fan Zhang

Striped vegetation pattern formation in arid and semiarid regions has attracted many researchers in ecological field. In this research, we modify the classical Klausmeier model and study nonlinear mechanism of oscillatory instability which can also possibly lead to pattern formation in ecological systems. Via simulation, irregular striped vegetation patterns are numerically obtained for the modified model. From the mechanism of oscillatory instability, this research provides a theoretical explanation for the formation of irregular striped vegetation patterns in nature.


2010 ◽  
Vol 265 (1) ◽  
pp. 18-26 ◽  
Author(s):  
Ana I. Borthagaray ◽  
Miguel A. Fuentes ◽  
Pablo A. Marquet

2014 ◽  
Vol 50 (7) ◽  
pp. 5743-5758 ◽  
Author(s):  
H. Yizhaq ◽  
S. Sela ◽  
T. Svoray ◽  
S. Assouline ◽  
G. Bel

2017 ◽  
Vol 79 (12) ◽  
pp. 2773-2784 ◽  
Author(s):  
Gerardo Severino ◽  
Francesco Giannino ◽  
Fabrizio Cartení ◽  
Stefano Mazzoleni ◽  
Daniel M. Tartakovsky

2019 ◽  
pp. 469-509 ◽  
Author(s):  
Punit Gandhi ◽  
Sarah Iams ◽  
Sara Bonetti ◽  
Mary Silber

Author(s):  
HAI-YANG JIN ◽  
ZHI-AN WANG

In this paper, we investigate the global boundedness, asymptotic stability and pattern formation of predator–prey systems with density-dependent prey-taxis in a two-dimensional bounded domain with Neumann boundary conditions, where the coefficients of motility (diffusiq‘dfdon) and mobility (prey-taxis) of the predator are correlated through a prey density-dependent motility function. We establish the existence of classical solutions with uniform-in time bound and the global stability of the spatially homogeneous prey-only steady states and coexistence steady states under certain conditions on parameters by constructing Lyapunov functionals. With numerical simulations, we further demonstrate that spatially homogeneous time-periodic patterns, stationary spatially inhomogeneous patterns and chaotic spatio-temporal patterns are all possible for the parameters outside the stability regime. We also find from numerical simulations that the temporal dynamics between linearised system and nonlinear systems are quite different, and the prey density-dependent motility function can trigger the pattern formation.


Physics Today ◽  
2019 ◽  
Vol 72 (11) ◽  
pp. 30-36 ◽  
Author(s):  
Ehud Meron

2013 ◽  
Vol 17 (1) ◽  
pp. 63-84 ◽  
Author(s):  
R. Foti ◽  
J. A. Ramírez

Abstract. Vegetation patterns are a common and well-defined characteristic of many landscapes. In this paper we explore some of the physical mechanisms responsible for the establishment of self-organized, non-random vegetation patterns that arise at the hillslope scale in many areas of the world, especially in arid and semi-arid regions. In doing so, we provide a fundamental mechanistic understanding of the dynamics of vegetation pattern formation and development. Reciprocal effects of vegetation on the hillslope thermodynamics, runoff production and run-on infiltration, root density, surface albedo and soil moisture content are analyzed. In particular, we: (1) present a physically based mechanistic description of processes leading to vegetation pattern formation; (2) quantify the relative impact of each process on pattern formation; and (3) describe the relationships between vegetation patterns and the climatic, hydraulic and topographic characteristics of the system. We validate the model by comparing simulations with observed natural patterns in the areas of Niger near Niamey and Somalia near Garoowe. Our analyses suggest that the phenomenon of pattern formation is primarily driven by run-on infiltration and mechanisms of facilitation/inhibition among adjacent vegetation groups, mediated by vegetation effects on soil properties and controls on soil moisture and albedo. Nonetheless, even in presence of those mechanisms, patterns arise only when the climatic conditions, particularly annual precipitation and net radiation, are favorable.


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