Results 101 to 110 of about 4,438 (207)

Bifurcation Behavior Analysis in a Predator-Prey Model

open access: yesDiscrete 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

A bacteriophage model based on CRISPR/Cas immune system in a chemostat

open access: yesMathematical Biosciences and Engineering, 2017
Clustered regularly interspaced short palindromic repeats (CRISPRs) along with Cas proteins are a widespread immune system across bacteria and archaea.
Mengshi Shu, Rui Fu, Wendi Wang
doaj   +1 more source

Bifurcation Dynamics and Complex Behavior in a Discrete‐Time Predator–Prey Model With Cross‐Species Interaction Incorporating Holling Type‐II Response

open access: yesComplexity, Volume 2025, Issue 1, 2025.
We investigate the nonlinear dynamics of a discrete‐time predator–prey model governed by a Holling Type‐II functional response. Starting from a biologically motivated continuous‐time system, we derive its discrete analogue via the explicit Euler method and employ nondimensionalization to reduce the number of parameters.
Muhammad Rafaqat   +4 more
wiley   +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

Reducing or enhancing chaos using periodic orbits

open access: yes, 2006
A method to reduce or enhance chaos in Hamiltonian flows with two degrees of freedom is discussed. This method is based on finding a suitable perturbation of the system such that the stability of a set of periodic orbits changes (local bifurcations ...
C. Chandre   +4 more
core   +3 more sources

Bifurcation in a Fractional SIR Model With Normalized Caputo–Fabrizio Derivative

open access: yesDiscrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
Models of fractional‐order epidemics more accurately represent memory and hereditary effects compared to traditional integer‐order models. However, many Caputo–Fabrizio (CF) SIR models utilize a non‐normalized kernel, which can distort the scaling and understanding of memory.
Ramsha Shafqat   +2 more
wiley   +1 more source

Spiral attractors as the root of a new type of "bursting activity" in the Rosenzweig-MacArthur model

open access: yes, 2018
We study the peculiarities of spiral attractors in the Rosenzweig-MacArthur model, that describes dynamics in a food chain "prey-predator-superpredator".
Bakhanova, Yu. V.   +4 more
core   +1 more source

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

Symmetry-breaking transitions in networks of nonlinear circuit elements

open access: yes, 2010
We investigate a nonlinear circuit consisting of N tunnel diodes in series, which shows close similarities to a semiconductor superlattice or to a neural network. Each tunnel diode is modeled by a three-variable FitzHugh-Nagumo-like system.
  +21 more
core   +1 more source

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