Results 51 to 60 of about 213 (131)
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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Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.Abstract Melt migration in partially molten rocks is commonly described by porous flow models controlled by the hydro‐mechanical compaction length, which effectively explains melt extraction at mid‐ocean ridges. However, this framework cannot account for the paradoxical accumulation of small melt fractions into rhythmic leucosome–melanosome bands in ...
Qingpei Sun +3 more
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Turing instability and Hopf bifurcation in a predator–prey model with delay and predator harvesting
Advances in Difference Equations, 2019 In this paper, we study a predator–prey model with delay and harvesting on predator. We give the conditions for stability and Turing instability of coexisting equilibrium by analyzing the eigenvalue spectrum.
Wenjing Gao +4 more
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Are physiological oscillations physiological?
The Journal of Physiology, Volume 604, Issue 9, Page 3672-3693, 1 May 2026.Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
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Physiological Reports, Volume 14, Issue 9, May 2026.Abstract Far‐from‐equilibrium thermodynamics were studied in patients with either lung cancer or pulmonary inflammatory diseases. Histological and mechanical activities were due to myofibroblasts. A study on isolated lung fragments treated with the Huxley formalism showed that mechanical abnormalities were similar in both groups: maximum velocity ...
Yves Lecarpentier +7 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we focus on a ratio dependent predator-prey system with self- and cross-diffusion and constant harvesting rate. By making use of a brief stability and bifurcation analysis, we derive the symbolic conditions for Hopf, Turing and wave ...
Hunki Baek
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Discrete Dynamics in Nature and Society, 2020 The reaction diffusion system is one of the important models to describe the objective world. It is of great guiding importance for people to understand the real world by studying the Turing patterns of the reaction diffusion system changing with the ...
Lianchao Gu +2 more
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Spatio-temporal secondary instabilities near the Turing-Hopf bifurcation [PDF]
Scientific Reports, 2019 AbstractIn this work, we provide a framework to understand and quantify the spatiotemporal structures near the codimension-two Turing-Hopf point, resulting from secondary instabilities of Mixed Mode solutions of the Turing-Hopf amplitude equations.
Aldo Ledesma–Durán, J. L. Aragón
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Small Science, Volume 6, Issue 4, April 2026.Intracellular reaction‐diffusion (iRD) waves scale their wavelength to space size when they are confined within cell‐size spaces, despite having intrinsic wavelength in open systems. This wavelength selection ensures the scaling of the wave shape and the velocity, preserving these essential properties against physicochemical perturbations. This scaling
Sakura Takada +5 more
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Bifurcation Analysis of a Resource–Consumer System With Explicit Spatiotemporal Memory
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT In ecological systems, animal movement is often influenced by memory and spatial cognition, especially in advanced species. This paper investigates the dynamics of a diffusive resource–consumer model incorporating explicit spatiotemporal distributed memory, where memory effects are modeled as distributed delays in both time and space.
Luhong Ye, Hao Wang
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