Results 61 to 70 of about 1,852 (142)

Péclet‐Number‐Dependent Longitudinal Dispersion in Discrete Fracture Networks

open access: yesWater Resources Research, Volume 60, Issue 12, December 2024.
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

Food Quality in Producer-Grazer Models: A Generalized Analysis

open access: yes, 2010
Stoichiometric constraints play a role in the dynamics of natural populations, but are not explicitly considered in most mathematical models. Recent theoretical works suggest that these constraints can have a significant impact and should not be ...
Feudel, Ulrike   +4 more
core   +2 more sources

Generalized models as a universal approach to the analysis of nonlinear dynamical systems [PDF]

open access: yes, 2006
We present a universal approach to the investigation of the dynamics in generalized models. In these models the processes that are taken into account are not restricted to specific functional forms.
Feudel, Ulrike, Gross, Thilo
core   +1 more source

Structural obstruction to the simplicity of the eigenvalue zero in chemical reaction networks

open access: yesMathematical Methods in the Applied Sciences, Volume 47, Issue 4, Page 2993-3006, 15 March 2024.
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

A normal form for excitable media

open access: yes, 2006
We present a normal form for travelling waves in one-dimensional excitable media in form of a differential delay equation. The normal form is built around the well-known saddle-node bifurcation generically present in excitable media.
Georg A. Gottwald   +4 more
core   +2 more sources

Modelling the dynamics of Trypanosoma rangeli and triatomine bug with logistic growth of vector and systemic transmission

open access: yesMathematical Biosciences and Engineering, 2022
In this paper, an insect-parasite-host model with logistic growth of triatomine bugs is formulated to study the transmission between hosts and vectors of the Chagas disease by using dynamical system approach.
Lin Chen   +3 more
doaj   +1 more source

Complex dynamics in double-diffusive convection

open access: yes, 2004
The dynamics of a small Prandtl number binary mixture in a laterally heated cavity is studied numerically. By combining temporal integration, steady state solving and linear stability analysis of the full PDE equations, we have been able to locate and ...
Batiste, Oriol   +3 more
core   +2 more sources

Bifurcation Analysis of the Dynamics in COVID‐19 Transmission through Living and Nonliving Media

open access: yesJournal of Applied Mathematics, Volume 2024, Issue 1, 2024.
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

Global Analysis of a Liénard System with Quadratic Damping

open access: yesDiscrete Dynamics in Nature and Society, 2018
In this paper, the global analysis of a Liénard equation with quadratic damping is studied. There are 22 different global phase portraits in the Poincaré disc.
Feng Guo
doaj   +1 more source

Bifurcation and Global Stability of a SEIRS Model With a Modified Nonlinear Incidence Rate

open access: yesJournal of Applied Mathematics, Volume 2024, Issue 1, 2024.
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

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