Results 21 to 30 of about 3,010 (176)
Analysis of chaotic dynamics: A fractional order glycolysis model [PDF]
Network Biology, 2022 Glycolysis model has been considered by Caputo fractional derivative. We give the topological classifications of fixed points of this model. Then, we show analytically that under certain parametric conditions fractional order glycolysis model underlies a
Md. Jasim Uddin, S. M. Sohel Rana
doaj
Stability Analysis of a Discrete Time Prey-Predator Population Model with Immigration
Cumhuriyet Science Journal, 2020 In this paper, a discrete-time prey-predator population model with immigration which is obtained by implementing forward Euler’s scheme has been considered. The existence of fixed points of the presented model has been investigated.
Hatice Kılıç +2 more
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Open Mathematics, 2022 In this paper, a discrete Leslie-Gower predator-prey system with Michaelis-Menten type harvesting is studied. Conditions on the existence and stability of fixed points are obtained.
Chen Jialin +3 more
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Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System
Mathematics, 2022 The Gierer-Meinhardt system is one of the prototypical pattern formation models. The bifurcation and pattern dynamics of a spatiotemporal discrete Gierer-Meinhardt system are investigated via the couple map lattice model (CML) method in this paper.
Biao Liu, Ranchao Wu
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Entropy, 2017 The formation of self-organized patterns in predator-prey models has been a very hot topic recently. The dynamics of these models, bifurcations and pattern formations are so complex that studies are urgently needed.
Feifan Zhang +5 more
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Study on the Compatibility of Multi-Bifurcations by Simulations of Pattern Formation
IEEE Access, 2019 Bifurcation is considered the main mathematical mechanism for the formation of spatial self-organizing patterns in many studies. When bifurcation was initially defined, only the transition of the system from stable state to unstable state or from uniform
Feifan Zhang +4 more
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Bifurcation analysis of a two-dimensional discrete Hindmarsh–Rose type model
Advances in Difference Equations, 2019 In this paper, bifurcation analysis of a discrete Hindmarsh–Rose model is carried out in the plane. This paper shows that the model undergoes a flip bifurcation, a Neimark–Sacker bifurcation, and 1:2 $1:2$ resonance which includes a pitchfork bifurcation,
Bo Li, Qizhi He
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Flip and generalized flip bifurcations of a two-dimensional discrete-time chemical model
Mathematical Modelling and Numerical Simulation with Applications, 2021 This paper focuses on introducing a two-dimensional discrete-time chemical model and the existence of its fixed points. Also, the one and two-parameter bifurcations of the model are investigated. Bifurcation analysis is based on numerical normal forms. The flip (period-doubling) and generalized flip bifurcations are detected for this model.
NAİK, Parvaiz Ahmad +2 more
openaire +3 more sources
Bifurcation of *COOH Pathway Determines HCOOH Formation in CO2 Electroreduction on Bismuth
Angewandte Chemie, EarlyView.Driven by the mechanistic debate of Bi‐catalyzed CO2‐to‐HCOOH conversion, ambiguity remains regarding true reaction pathways. To resolve this, we combined constant‐potential AIMD simulations with spectroscopic evidence to analyze the competitive pathways.
Hyun Dong Jung +4 more
wiley +2 more sources
Chaotic dynamics of the fractional order Schnakenberg model and its control
Mathematics in Applied Sciences and Engineering, 2023 The Schnakenberg model is thought to be the Caputo fractional derivative. In order to create caputo fractional differential equations for the Schnakenberg model, a discretization process is first used.
Md. Jasim Uddin, S. M. Sohel Rana
doaj +1 more source