Results 51 to 60 of about 1,843 (161)
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In an ecological point of view, fears from predator cause physiological changes of prey population and these physiological changes may reduce the reproduction of prey. This paper deals with studying the effect of fear that is incorporated in the growth rate of prey on the dynamics of a delay ecological model consisting of two logistically growing prey ...
Hersh Aziz Mohammed +2 more
wiley +1 more source
A normal form for excitable media
, 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
Péclet‐Number‐Dependent Longitudinal Dispersion in Discrete Fracture Networks
Water 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
Complex oscillations in the delayed Fitzhugh-Nagumo equation
, 2015 Motivated by the dynamics of neuronal responses, we analyze the dynamics of the Fitzhugh-Nagumo slow-fast system with delayed self-coupling. This system provides a canonical example of a canard explosion for sufficiently small delays. Beyond this regime,
Krupa, Maciej, Touboul, Jonathan
core +3 more sources
Structural obstruction to the simplicity of the eigenvalue zero in chemical reaction networks
Mathematical 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
Symmetry-breaking instabilities of convection in squares [PDF]
, 1996 Convection in an infinite fluid layer is often modelled by considering a finite box with periodic boundary conditions in the two horizontal directions. The translational invariance of the problem implies that any solution can be translated horizontally ...
Rucklidge, A.M.
core +2 more sources
Bifurcation Analysis of the Dynamics in COVID‐19 Transmission through Living and Nonliving Media
Journal 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
Bifurcation Behavior Analysis in a Predator-Prey Model
Discrete Dynamics in Nature and Society, 2016 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
The Bogdanov–Takens Normal Form: A Minimal Model for Single Neuron Dynamics
Entropy, 2015 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
Food Quality in Producer-Grazer Models: A Generalized Analysis
, 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