Pattern formation for a reversible biochemical reaction model with cross-diffusion and Michalis saturation

Journal of Mathematical Chemistry, Journal Year: 2025, Volume and Issue: unknown

Published: Jan. 28, 2025

Language: Английский

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Positive steady-state solutions for a vegetation–water model with saturated water absorption

Communications in Nonlinear Science and Numerical Simulation, Journal Year: 2024, Volume and Issue: 131, P. 107802 - 107802

Published: Jan. 2, 2024

Language: Английский

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Pattern formation of a spatial vegetation system with cross-diffusion and nonlocal delay

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 181, P. 114622 - 114622

Published: Feb. 29, 2024

Language: Английский

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Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect

Zeitschrift für angewandte Mathematik und Physik, Journal Year: 2024, Volume and Issue: 75(2)

Published: Feb. 10, 2024

Language: Английский

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Pattern formation and qualitative analysis for a vegetation-water model with diffusion

Nonlinear Analysis Real World Applications, Journal Year: 2023, Volume and Issue: 76, P. 104008 - 104008

Published: Sept. 26, 2023

Language: Английский

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Interactions of cross-diffusion and nonlocal delay induce spatial vegetation patterning in semi-arid environments

Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: 112(13), P. 11615 - 11636

Published: May 15, 2024

Language: Английский

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Pattern dynamics in a water–vegetation model with cross‐diffusion and nonlocal delay

Mathematical Methods in the Applied Sciences, Journal Year: 2024, Volume and Issue: unknown

Published: Sept. 11, 2024

In semiarid areas, the positive feedback effect of vegetation and soil moisture plays an indispensable role in water absorption process plant roots. addition, can absorb through nonlocal interaction Therefore, this article, we consider how interactions between cross‐diffusion delay affect growth. Through mathematical analysis, conditions for occurrence Turing pattern water–vegetation model are obtained. Meanwhile, using multi‐scale analysis method, amplitude equation near bifurcation boundary is By analyzing stability equation, appearance patterns such as stripes, hexagons, mixtures stripes hexagons determined. Some numerical simulations given to illustrate analytical results, especially evolution processes depicted under different parameters.

Language: Английский

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Spatiotemporal dynamics of nonlocal water-plant models: insights into the mechanisms of vegetation pattern formation

Advances in Continuous and Discrete Models, Journal Year: 2025, Volume and Issue: 2025(1)

Published: Feb. 24, 2025

Language: Английский

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Stability and bifurcation analysis of a time-order fractional model for water-plants: Implications for vegetation pattern formation

Mathematics and Computers in Simulation, Journal Year: 2025, Volume and Issue: unknown

Published: March 1, 2025

Language: Английский

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Nonlocal delay gives rise to vegetation patterns in a vegetation-sand model

Mathematical Biosciences & Engineering, Journal Year: 2024, Volume and Issue: 21(3), P. 4521 - 4553

Published: Jan. 1, 2024

<abstract><p>The vegetation pattern generated by aeolian sand movements is a typical type of patterns in arid and semi-arid areas. This paper presents vegetation-sand model with nonlocal interaction characterized an integral term kernel function. The instability the Turing was analyzed conditions stable occurrence were obtained. At same time, multiple scales method applied to obtain amplitude equations at critical value bifurcation. spatial distributions under different delays obtained numerical simulation. results revealed that biomass increased as intensity decreased or distance increased. We demonstrated between crucial mechanism for forming patterns, which provides theoretical basis preserving restoring vegetation.</p></abstract>

Language: Английский

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