Results 11 to 20 of about 168,933 (177)
Complexity, 2023 Population ecosystems can display the tipping points at which extinctions of species happens. To predict the appearance of tipping points and to understand their evolution mechanism are of uttermost importance for ecological balance.
Min Xiao +4 more
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Discrete Dynamics in Nature and Society, 2022 A delayed diffusive predator-prey model with predator interference or foraging facilitation is studied. We are interested in the existence of Turing instability, local stability, and Hopf bifurcation. We analyze the direction and stability of bifurcating
Wenlong Wang, Zijun Liu, Ruizhi Yang
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Utilizing Causal Network Markers to Identify Tipping Points ahead of Critical Transition. [PDF]
Adv Sci (Weinh)The study proposes a causal network markers (CNMs) framework to identify early‐warning signals preceding critical transitions. It validates CNMs on various computational benchmark models and real‐world datasets, demonstrating higher accuracy and flexibility compared to existing approaches.
Bian S, Wang Z, Leng S, Lin W, Shi J.
europepmc +2 more sources
Bifurcations and Turing patterns in a diffusive Gierer–Meinhardt model
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, the Hopf bifurcations and Turing bifurcations of the Gierer–Meinhardt activator-inhibitor model are studied. The very interesting and complex spatially periodic solutions and patterns induced by bifurcations are analyzed from both ...
Yong Wang, Mengping Guo, Weihua Jiang
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Turing-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion
Applications in Engineering Science, 2021 This paper focuses on the impact of cross-diffusion for Turing-Hopf instability in a morphochemical model for electrodeposition (DIB) and completes the analysis on the role of cross-diffusion on pattern formation in electrodeposition we recently carried ...
Deborah Lacitignola +2 more
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Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
Open Mathematics, 2022 In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
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Allee effect-driven complexity in a spatiotemporal predator-prey system with fear factor
Mathematical Biosciences and Engineering, 2023 In this paper, we propose a spatiotemporal prey-predator model with fear and Allee effects. We first establish the global existence of solution in time and provide some sufficient conditions for the existence of non-negative spatially homogeneous ...
Yuhong Huo +4 more
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Mathematical methods in the applied sciences, 2023 In this paper, we study the codimension‐two Turing–Hopf bifurcation of a diffusive Holling–Tanner model with nonlocal effect and digestion time delay.
Yehu Lv
semanticscholar +1 more source
Mathematics, 2021 In this paper, a diffusive predator–prey system with a functional response that increases in both predator and prey densities is considered. By analyzing the characteristic roots of the partial differential equation system, the Turing instability and ...
Ruizhi Yang, Qiannan Song, Yong An
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Dynamics of pH Oscillators in Continuous Stirred Tanks in Series. [PDF]
ChemphyschemA numerical study on the dynamics of pH oscillators in a series of CSTRs shows the emergence of bistability and oscillations. Within the oscillatory domain, one reactor oscillates independently, leading to forced complex oscillations in the subsequent tanks with decreasing amplitudes.
Galanics C, Szalai I.
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