Péclet‐Number‐Dependent Longitudinal Dispersion in Discrete Fracture Networks
Abstract Dispersion in fractured media impacts many environmental and geomechanical practices. It is mainly controlled by the structure of fracture networks and the Péclet number (Pe) $(Pe)$, but predicting it remains challenging. In this study, numerous three‐dimensional stochastic discrete fracture networks (DFNs) were generated, where the density ...
Tingchang Yin +3 more
wiley +1 more source
On the Takens-Bogdanov Bifurcation in the Chua’s Equation [PDF]
The analysis of the Takens-Bogdanov bifurcation of the equilibrium at the origin in the Chua’s equation with a cubic nonlinearity is carried out. The local analysis provides, in first approximation, different bifurcation sets, where the presence of ...
Rodríguez Luis, Alejandro José +3 more
core
Structural obstruction to the simplicity of the eigenvalue zero in chemical reaction networks
Multistationarity is the property of a system to exhibit two distinct equilibria (steady‐states) under otherwise identical conditions, and it is a phenomenon of recognized importance for biochemical systems. Multistationarity may appear in the parameter space as a consequence of saddle‐node bifurcations, which necessarily require an algebraically ...
Nicola Vassena
wiley +1 more source
Bogdanov-Takens bifurcation of a polynomialdifferential system in biochemical reaction
Consider a polynomial differential system of degree p + q, which was given from a general multimolecular reaction in biochemistry as a theoretical problem of concentration kinetics.
Tang, Yilei, Zhang, Weinian
core +1 more source
Bifurcation Behavior Analysis in a Predator-Prey Model
A predator-prey model is studied mathematically and numerically. The aim is to explore how some key factors influence dynamic evolutionary mechanism of steady conversion and bifurcation behavior in predator-prey model.
Nan Wang +5 more
doaj +1 more source
Bifurcation Analysis of the Dynamics in COVID‐19 Transmission through Living and Nonliving Media
Transmission of COVID‐19 occurs either through living media, such as interaction with a sufferer, or nonliving objects contaminated with the virus. Recovering sufferers and disinfectant spraying prevent interaction between people and virus become the treatment to overcome it.
Ario Wiraya +6 more
wiley +1 more source
The Bogdanov–Takens Normal Form: A Minimal Model for Single Neuron Dynamics
Conductance-based (CB) models are a class of high dimensional dynamical systems derived from biophysical principles to describe in detail the electrical dynamics of single neurons.
Ulises Pereira +2 more
doaj +1 more source
Bifurcation and Global Stability of a SEIRS Model With a Modified Nonlinear Incidence Rate
In this work, a SEIRS (susceptible–exposed–infected–recovered–susceptible) model with modified nonlinear incidence rate is considered. The incidence rate illustrates how the number of infected individuals initially increases at the onset of a disease, subsequently decreases due to the psychological effect, and ultimately reaches saturation due to the ...
Shilan Amin +4 more
wiley +1 more source
Spatiotemporal patterns in the Turing-Takens-Bogdanov scenario [PDF]
[eng] Some spatial dinamical systems exhibit, for close values of the parameter, diffusion drive instability (Turing bifurcation) and a Homoclinic bifurcation of the homogeneous solution. However, the interaction between these bifurcations has not been
Moreno Spiegelberg, Pablo
core
Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect
We consider a ratio-dependent predator-prey system with a mate-finding Allee effect on prey. The stability properties of the equilibria and a complete bifurcation analysis, including the existence of a saddle-node, a Hopf bifurcation, and, a Bogdanov ...
Ruiwen Wu, Xiuxiang Liu
doaj +1 more source

