Results 41 to 50 of about 168,933 (177)
Analysis of dynamic properties on forest restoration-population pressure model
Mathematical Biosciences and Engineering, 2020 On the basis of logistic models of forest restoration, we consider the influence of population pressure on forest restoration and establish a reaction diffusion model with Holling II functional responses.
Mingzhu Qu +2 more
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Electronic Research Archive, 2023 In this paper, a three-molecule autocatalytic Schnakenberg model with cross-diffusion is established, the instability of bifurcating periodic solutions caused by diffusion is studied, that is, diffusion can destabilize the stable periodic solutions of ...
Weiyu Li , Hongyan Wang
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Chemical turbulence equivalent to Nikolavskii turbulence [PDF]
, 2004 We find evidence that a certain class of reaction-diffusion systems can exhibit chemical turbulence equivalent to Nikolaevskii turbulence. The distinctive characteristic of this type of turbulence is that it results from the interaction of weakly stable ...
A. T. Winfree +6 more
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Advances in Difference Equations, 2018 In this paper, we consider a modified predator–prey model with Michaelis–Menten-type predator harvesting and diffusion term. We give sufficient conditions to ensure that the coexisting equilibrium is asymptotically stable by analyzing the distribution of
Qiannan Song +3 more
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Interacting Turing-Hopf Instabilities Drive Symmetry-Breaking Transitions in a Mean-Field Model of the Cortex: A Mechanism for the Slow Oscillation [PDF]
, 2013 Electrical recordings of brain activity during the transition from wake to anesthetic coma show temporal and spectral alterations that are correlated with gross changes in the underlying brain state. Entry into anesthetic unconsciousness is signposted by
Sleigh, James W. +2 more
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Advances in Difference Equations, 2018 We study the pattern generating mechanism of a generalized Gierer–Meinhardt model with diffusions. We show the existence and stability of the Hopf bifurcation for the corresponding kinetic system under certain conditions.
Jinliang Wang, You Li, Xiaojie Hou
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Turing instability and spatially homogeneous Hopf bifurcation in a diffusive Brusselator system
Nonlinear Analysis, 2020 The present paper deals with a reaction–diffusion Brusselator system subject to the homogeneous Neumann boundary condition. When the effect of spatial diffusion is neglected, the local asymptotic stability and the detailed Hopf bifurcation of the unique ...
Xiang-Ping Yan, Pan Zhang, Cun-Huz Zhang
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Hopf Bifurcation Analysis of a Diffusive Nutrient–Phytoplankton Model with Time Delay
Axioms, 2022 In this paper, we studied a nutrient–phytoplankton model with time delay and diffusion term. We studied the Turing instability, local stability, and the existence of Hopf bifurcation.
Ruizhi Yang, Liye Wang, Dan Jin
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Turing Instability and Pattern Formation in an Activator-Inhibitor System with Nonlinear Diffusion
, 2014 In this work we study the effect of density dependent nonlinear diffusion on pattern formation in the Lengyel--Epstein system. Via the linear stability analysis we determine both the Turing and the Hopf instability boundaries and we show how nonlinear ...
Gambino, G. +2 more
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Dynamic complexity in a modified Leslie-Gower model with taxis mechanism and digestion delay
AIMS MathematicsIn this paper, we investigate the complex spatiotemporal dynamics of a modified Leslie-Gower model with taxis mechanism and digestion delay. First, the boundedness of solutions and the global stability of the positive equilibrium point without digestion ...
Yan Meng, Jiaxin Xiao, Caijuan Jia
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