Mathematical analysis of a fractional-order epidemic model with nonlinear incidence function
AIMS Mathematics, 2022 In this paper, we are interested in studying the spread of infectious disease using a fractional-order model with Caputo's fractional derivative operator.
Salih Djillali +3 more
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A food chain ecoepidemic model: infection at the bottom trophic level [PDF]
, 2014 In this paper we consider a three level food web subject to a disease affecting the bottom prey. The resulting dynamics is much richer with respect to the purely demographic model, in that it contains more transcritical bifurcations, gluing together the ...
De Rossi, Alessandra +4 more
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NLS Bifurcations on the bowtie combinatorial graph and the dumbbell metric graph
, 2018 We consider the bifurcations of standing wave solutions to the nonlinear Schr\"odinger equation (NLS) posed on a quantum graph consisting of two loops connected by a single edge, the so-called dumbbell, recently studied by Marzuola and Pelinovsky.
Goodman, Roy H.
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The Operating Diagram for a Two-Step Anaerobic Digestion Model
, 2020 The Anaerobic Digestion Model No. 1 (ADM1) is a complex model which is widely accepted as a common platform for anaerobic process modeling and simulation. However, it has a large number of parameters and states that hinder its analytical study.
Benyahia, Boumediene, Sari, Tewfik
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Hopf Bifurcation Analysis of the Halvorsen System
Zanco Journal of Pure and Applied SciencesThis paper investigates local bifurcations in the Halvorsen system, focusing specifically on transcritical and Hopf bifurcations. The behavior of equilibrium points during bifurcations is studied using Sotomayor's theorem for transcritical bifurcation ...
Kardo Baiz Othman, Adnan Ali Jalal
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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
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Slow Switching in Globally Coupled Oscillators: Robustness and Occurrence through Delayed Coupling [PDF]
, 2001 The phenomenon of slow switching in populations of globally coupled oscillators is discussed. This characteristic collective dynamics, which was first discovered in a particular class of the phase oscillator model, is a result of the formation of a ...
A.T. Winfree +18 more
core +3 more sources
Transcritical Bifurcations and Algebraic Aspects of Quadratic\n Multiparametric Families [PDF]
, 2021 Jorge Rodríguez Contreras +3 more
openalex +2 more sources
Dynamics of a delay turbidostat system with contois growth rate
Mathematical Biosciences and Engineering, 2019 In this contribution, the dynamic behaviors of a turbidostat model with Contois growth rate and delay are investigated. The qualitative properties of the system are carried out including the stability of the equilibria and the bifurcations.
Yong Yao
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Time-delayed feedback control of unstable periodic orbits near a subcritical Hopf bifurcation
, 2010 We show that Pyragas delayed feedback control can stabilize an unstable periodic orbit (UPO) that arises from a generic subcritical Hopf bifurcation of a stable equilibrium in an n-dimensional dynamical system. This extends results of Fiedler et al. [PRL
Bar-Eli +46 more
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