Stationary and Oscillatory patterned solutions in three-compartment reaction–diffusion systems: Theory and application to dryland ecology

Chaos Solitons & Fractals, Год журнала: 2024, Номер 186, С. 115287 - 115287

Опубликована: Июль 23, 2024

This work aims at elucidating the conditions under which stationary and oscillatory periodic patterns may emerge in a class of one-dimensional three-compartments reaction–diffusion models where one interacting species does not undergo any spatial dispersal. To this purpose, linear stability analysis is firstly employed to deduce system undergoes Turing or wave instability as well extract information on main features that characterize corresponding patterned solutions onset. Then, multiple-scale weakly nonlinear carried out describe time evolution pattern amplitude close bifurcation thresholds above-mentioned instabilities. Finally, provide quantitative estimation most relevant features, an illustrative example context dryland ecology addressed. It deals with generalization Klausmeier vegetation model for flat arid environments describes interaction among biomass, soil water toxic compounds. Numerical simulations are also used corroborate theoretical findings gain some useful insights into ecological response ecosystems variable environmental conditions.

Язык: Английский

---

Modeling vegetation patterning on sloped terrains: The role of toxic compounds

Physica D Nonlinear Phenomena, Год журнала: 2023, Номер 459, С. 134020 - 134020

Опубликована: Дек. 13, 2023

Vegetation patterning processes taking place on sloped terrains are here investigated through a class of three-compartments 1D reaction-advection-diffusion models enclosing the effects associated with presence toxic compounds. Focus is given to transition from uniformly-vegetated area desert state which occurs formation an intermediate characterized by non-stationary vegetation stripes. To this aim, linear stability analysis addressed characterize mechanism wave instability, responsible for emergence oscillatory Turing patterns. In detail, provides critical value main control parameter as well wavelength and migration speed at onset instability. Moreover, multiple-scale weakly nonlinear performed describe time evolution pattern amplitude close bifurcation threshold. Theoretical investigations complemented numerical simulations carried out extension Klausmeier kinetics that explicitly takes into account interaction between autotoxicity biomass. Numerical results provide several insights how interplay among mean annual rainfall, plant mortality plant's sensitivity toxicity gives rise different ecological scenarios.

Язык: Английский

---

Role of herbivory in shaping the dryland vegetation ecosystem: Linking spiral vegetation patterns and nonlinear, nonlocal grazing

Physical review. E, Год журнала: 2023, Номер 107(6)

Опубликована: Июнь 6, 2023

Self-organized vegetation patterns are an amazing aspect of dryland ecosystems; in addition to being visually appealing, control how these water-deprived systems react escalating environmental stress. Although there is a wide variety patterns, little known about the mechanisms behind spiral patterns. The well-known models that explain other such stripes, rings, and fairy circles cannot account for spirals. Here we have adopted modeling approach which interplay between herbivore grazing found be reason why spirals form. To comprehend nonlinear dependence on availability vegetation, introduced term gets saturated when forage abundant. impact spatial nonhomogeneity layout, it thought dependent mean density rather than at single site. Results show system dynamics changed fundamentally depending different types response. Incorporation nonlocality into leads spiral-shaped only natural scenarios; however, no patterning seen human controlled herbivory. Overall, our research points nonlocal, behavior herbivores as one major driving forces development

Язык: Английский

---

Does a marginal contact with a native species living in a complex domain with a fractional dimension boundary represent a sufficient invasive mechanism for the establishment of a migrating population?

Chaos Solitons & Fractals, Год журнала: 2024, Номер 184, С. 115050 - 115050

Опубликована: Май 27, 2024

Язык: Английский

---

Threshold dynamics scenario of a plants-pollinators cooperative system with impulsive effect on a periodically evolving domain

European Journal of Applied Mathematics, Год журнала: 2024, Номер 35(6), С. 797 - 822

Опубликована: Май 2, 2024

Abstract Flowering plants depend on some animals for pollination and contribute to nourish the in natural environments. We call these pollinators build a plants-pollinators cooperative model with impulsive effect periodically evolving domain. Next, we define ecological reproduction index single plant system, respectively, whose threshold dynamics, including extinction, persistence coexistence, is established by method of upper lower solutions. Theoretical analysis shows that large domain evolution rate has positive influence survival whether or not occurs, pulse eliminates even when high. Moreover, selective numerical simulations are still performed explain our theoretical results.

Язык: Английский

---

Zonation-based prioritization of vegetation conservation for terminal lakes in drylands

Ecological Informatics, Год журнала: 2023, Номер 79, С. 102400 - 102400

Опубликована: Ноя. 30, 2023

Terminal lakes are imperative to regulate regional climate and construct an ecological barrier in drylands. In recent decades, many terminal have shrinked sharply undergo seriously ecosystems degradation because of change human activities. order restore the decline world's lakes, various restoration programs, such as water transfer, been implemented worldwide increase area lake while ignore vegetation around lake, especially priority restored location, types. We used Zonation generate a framework identify conservation sequence drylands based on remote sensing dataset. And then taking Taitema Lake, Northwest China, study area, analyzed Lake. found that Lake is mainly perennial herbs, whose distribution accounts for 57.7% total shrubs 39.6%, annual herbs least, 2.7%. The high-priority areas protection distributed lacustrine plain where at end Qarqan River, Tarim River. each between 50 60%, 30 45%, 0%–11%. developed this can effectively determine types with easily available dataset like NDVI, provide basis precise lake.

Язык: Английский

---

Turing patterns in a networked vegetation model

Mathematical Biosciences & Engineering, Год журнала: 2024, Номер 21(11), С. 7601 - 7620

Опубликована: Янв. 1, 2024

A vegetation model composed of water and plants was proposed by introducing a weighted graph Laplacian operator into the reaction-diffusion dynamics. We showed global existence uniqueness solution via monotone iterative sequence. The parameter space Turing patterns for plant behavior is obtained based on analysis eigenvalues graph, while amplitude equation determining stability weakly nonlinear analysis. also show that optimal rainfall only determined density water. By some numerical simulations, we examine individual effect diffusion term formation regular patterns. large induces stable

Язык: Английский

---

Delayed loss of stability of periodic travelling waves: Insights from the analysis of essential spectra

Journal of Theoretical Biology, Год журнала: 2024, Номер unknown, С. 111945 - 111945

Опубликована: Сен. 1, 2024

Язык: Английский

---