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Forward hysteresis and Hopf bifurcation in an Npzd model with application to harmful algal blooms
Nutrient-Phytoplankton-Zooplankton-Detritus (NPZD) models, describing the interactions between phytoplankton, zooplankton systems, and their...
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Global Dynamics of a Kawasaki Disease Vascular Endothelial Cell Injury Model with Backward Bifurcation and Hopf Bifurcation
Kawasaki disease (KD) is an acute, febrile, systemic vasculitis that mainly affects children under five years of age. In this paper, we propose and...
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Age-dependent immunity effect in a cholera model with double transmission modes: Hopf bifurcation analysis
This paper focuses on a cholera model with temporary immunity and recovery-age. We first investigate the existence of unique solution to the model by...
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Nonautonomous Bifurcation
Three classes of nonautonomous bifurcations are introduced for ordinary differential equations, namely attractor bifurcation, solution bifurcation...
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Stability and Hopf bifurcation analysis of flux neuron model with double time delays
A flux neuron model with double time delays was developed by introducing a memristor. The first time delay is added to the memristor and another time...
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Computer-Assisted Proofs of Hopf Bubbles and Degenerate Hopf Bifurcations
We present a computer-assisted approach to prove the existence of Hopf bubbles and degenerate Hopf bifurcations in ordinary and delay differential...
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Hopf bifurcation and stability switches in an infectious disease model with incubation delay, information, and saturated treatment
In this paper, a delay SIR model with a nonlinear incidence function and saturated treatment function is proposed and analyzed. The non-monotonous...
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Bifurcation Analysis in a Predator-Prey Model with an Allee Effect and a Delayed Mechanism
Regarding delay-induced predator-prey models, much research has been done on delayed destabilization, but whether delays are stabilizing or...
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Stability and Hopf Bifurcation Analysis for a Two-Species Commensalism System with Delay
This paper is devoted to studying the dynamics of a two-species commensalism system with delay. By analyzing the characteristic equation and...
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Bifurcation and chaos in a discrete Holling–Tanner model with Beddington–DeAngelis functional response
The dynamics of a discrete Holling–Tanner model with Beddington–DeAngelis functional response is studied. The permanence and local stability of fixed...
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Bifurcation detections of a fractional-order neural network involving three delays
This paper lucubrates the Hopf bifurcation of fractional-order Hopfield neural network (FOHNN) with three nonidentical delays. The type of delays in...
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Hopf Bifurcation in a Reaction–Diffusion–Advection Two Species Model with Nonlocal Delay Effect
The dynamics of a general reaction–diffusion–advection two species model with nonlocal delay effect and Dirichlet boundary condition is investigated...
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Bifurcation analysis for a single population model with advection
In this paper, the dynamics of a single population model with a general growth function is investigated in an advective environment. We show the...
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Nonautonomous Bifurcation
As in the continuous time situation, bifurcations in nonautonomous difference equations are classified as attractor bifurcation, solution bifurcation...
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Hopf Bifurcation of a Delayed Single Population Model with Patch Structure
In this paper, we show the existence of a Hopf bifurcation in a delayed single population model with patch structure. The effect of the dispersal...
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Dynamic analysis and bifurcation control of a fractional-order cassava mosaic disease model
In this paper, a fractional-order model including healthy cassava, infected cassava, and infected vectors is proposed to study the transmission...
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Bifurcation investigation and control scheme of fractional neural networks owning multiple delays
In this current study, novel fractional neural networks owning delay are formulated. Using Lipschitz condition, we demonstrate that the solution of...
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Hopf and forward bifurcation of an integer and fractional-order SIR epidemic model with logistic growth of the susceptible individuals
This paper deals with the qualitative behavior of an integer and fractional-order SIR epidemic model with logistic growth of the susceptible...
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Hopf bifurcation in a delayed reaction–diffusion–advection equation with ideal free dispersal
In this paper, we investigate a delay reaction–diffusion–advection model with ideal free dispersal. The stability of positive steady-state solutions...
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Bifurcation Analysis of a Predator–Prey Model with Allee Effect and Fear Effect in Prey and Hunting Cooperation in Predator
Studying predator–prey interactions with the help of mathematical modeling is helpful in understanding the mechanism, making informed decisions about...
