Results 1 to 10 of about 170,441 (221)

From continuous to discontinuous transitions in social diffusion

open access: yes, 2018
Models of social diffusion reflect processes of how new products, ideas or behaviors are adopted in a population. These models typically lead to a continuous or a discontinuous phase transition of the number of adopters as a function of a control ...
Eguíluz, Víctor M.   +2 more
core   +2 more sources

Local/global analysis of the stationary solutions of some neural field equations

open access: yes, 2009
Neural or cortical fields are continuous assemblies of mesoscopic models, also called neural masses, of neural populations that are fundamental in the modeling of macroscopic parts of the brain.
Faugeras, Olivier, Veltz, Romain
core   +3 more sources

Nonlinear Competition Between Small and Large Hexagonal Patterns

open access: yes, 1998
Recent experiments by Kudrolli, Pier and Gollub on surface waves, parametrically excited by two-frequency forcing, show a transition from a small hexagonal standing wave pattern to a triangular ``superlattice'' pattern.
B. Dionne   +11 more
core   +1 more source

Endogenous income taxes and indeterminacy in dynamic models: When Diamond meets Ramsey again. [PDF]

open access: yes
This paper introduces fiscal increasing returns, through endogenous labor income tax rates as in Schmitt-Grohe and Uribe (1997), into the overlapping generations model with endogenous labor, consumption in both periods of life and homothetic preferences (
Chen, Yan, Zhang, Yan
core   +1 more source

Bifurcations of a modified Leslie–Gower predator–prey model with fear, Allee effect and hunting cooperation strategy

open access: yesJournal of Biological Dynamics
The fear preoften leads to changes in the physiological characteristics of the prey. Different stages of prey exhibit different physiological behaviours, such as susceptibility to predator risk, which often leads to Allee effect.
Weili Kong, Yuanfu Shao
doaj   +1 more source

Some Bifurcations of Codimensions 1 and 2 in a Discrete Predator–Prey Model with Non-Linear Harvesting

open access: yesMathematics
This paper delves into the dynamics of a discrete-time predator–prey system. Initially, it presents the existence and stability conditions of the fixed points.
Ming Liu, Linyi Ma, Dongpo Hu
doaj   +1 more source

Difference equations as models of evolutionary population dynamics

open access: yesJournal of Biological Dynamics, 2019
We describe the evolutionary game theoretic methodology for extending a difference equation population dynamic model in a way so as to account for the Darwinian evolution of model coefficients.
J. M. Cushing
doaj   +1 more source

Bifurcations and chaos in a novel discrete economic system

open access: yesAdvances in Mechanical Engineering, 2019
In this article, a novel discrete system based on an economic model is introduced. Conditions for local stability of the model’s fixed points are obtained. Existence of supercritical Neimark–Sacker bifurcation is shown around the game’s Nash equilibrium.
A Al-khedhairi, AE Matouk, SS Askar
doaj   +1 more source

Influence of Allee effect in prey populations on the dynamics of two-prey-one-predator model

open access: yesMathematical Biosciences and Engineering, 2018
One of the important ecological challenges is to capture the complex dynamics and understand the underlying regulating ecological factors. Allee effect is one of the important factors in ecology and taking it into account can cause significant changes to
Moitri Sen   +2 more
doaj   +1 more source

On spurious steady-state solutions of explicit Runge-Kutta schemes [PDF]

open access: yes
The bifurcation diagram associated with the logistic equation v sup n+1 = av sup n (1-v sup n) is by now well known, as is its equivalence to solving the ordinary differential equation u prime = alpha u (1-u) by the explicit Euler difference scheme.
Griffiths, D. F.   +2 more
core   +1 more source

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