4.5 Article

Bifurcation analysis of an extended Klausmeier-Gray-Scott model with infiltration delay

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Review Engineering, Mechanical

Mathematical modeling and mechanisms of pattern formation in ecological systems: a review

Gui-Quan Sun et al.

Summary: This research delves into the key issue of population distribution in ecological systems and how it characterizes the relationship between populations, space-time structure, and evolution laws. It systematically summarizes the related results in pattern formation of ecological systems, showcasing the mechanisms of different patterns. This work offers valuable insights into understanding the complexity of ecosystems and can be applied in various related fields such as epidemiology, medical science, and atmospheric science.

NONLINEAR DYNAMICS (2021)

Article Mathematics, Applied

Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments

Qiang Xue et al.

Summary: This study investigated the formation mechanism of vegetation patterns in semi-arid environments and found that nonlocal water absorption by vegetation roots and feedback of soil-water diffusion have significant impacts on vegetation patterns. Changes in nonlocal water absorption intensity and soil-water diffusion feedback intensity can result in variations in vegetation density and pattern structures.

APPLIED MATHEMATICS AND COMPUTATION (2021)

Article Engineering, Mechanical

Spatiotemporal dynamics of a vegetation model with nonlocal delay in semi-arid environment

Qiang Xue et al.

NONLINEAR DYNAMICS (2020)

Article Biology

Metastability as a Coexistence Mechanism in a Model for Dryland Vegetation Patterns

Lukas Eigentler et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2019)

Article Biology

Changes in rainfall distribution promote woody foliage production in the Sahel

Martin Brandt et al.

COMMUNICATIONS BIOLOGY (2019)

Article Engineering, Multidisciplinary

Effects of feedback regulation on vegetation patterns in semi-arid environments

Gui-Quan Sun et al.

APPLIED MATHEMATICAL MODELLING (2018)

Article Biology

On a nonlocal system for vegetation in drylands

Matthieu Alfaro et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2018)

Article Mathematics, Applied

Vegetation pattern formation of a water-biomass model

Xiaoli Wang et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2017)

Article Environmental Sciences

Influence of grazing exclosure on vegetation biomass and soil quality

Shagufta Qasim et al.

INTERNATIONAL SOIL AND WATER CONSERVATION RESEARCH (2017)

Article Engineering, Multidisciplinary

Pattern formation and modulation in a hyperbolic vegetation model for semiarid environments

Giancarlo Consolo et al.

APPLIED MATHEMATICAL MODELLING (2017)

Article Multidisciplinary Sciences

Discovery of fairy circles in Australia supports self-organization theory

Stephan Getzin et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2016)

Article Mathematics, Applied

Saddle-node-Hopf bifurcation in a modified Leslie-Gower predator-prey model with time-delay and prey harvesting

Rui Yuan et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2015)

Article Multidisciplinary Sciences

Termite mounds can increase the robustness of dryland ecosystems to climatic change

Juan A. Bonachela et al.

SCIENCE (2015)

Article Mathematics, Applied

Rise and Fall of Periodic Patterns for a Generalized Klausmeier-Gray-Scott Model

Sjors van der Stelt et al.

JOURNAL OF NONLINEAR SCIENCE (2013)

Article Biochemistry & Molecular Biology

Spatial Pattern Enhances Ecosystem Functioning in an African Savanna

Robert M. Pringle et al.

PLOS BIOLOGY (2010)

Article Physics, Multidisciplinary

Ecosystem engineers: From pattern formation to habitat creation

E Gilad et al.

PHYSICAL REVIEW LETTERS (2004)

Article Mathematics, Interdisciplinary Applications

Vegetation patterns along a rainfall gradient

E Meron et al.

CHAOS SOLITONS & FRACTALS (2004)

Article Agriculture, Multidisciplinary

Spatial heterogeneity of vegetation under different grazing intensities in the Northwest Heilongjiang Steppe of China

YS Wang et al.

AGRICULTURE ECOSYSTEMS & ENVIRONMENT (2002)

Article Physics, Multidisciplinary

Diversity of vegetation patterns and desertification

J von Hardenberg et al.

PHYSICAL REVIEW LETTERS (2001)