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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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Global Bifurcation from Infinity in Some Nonlinear Sturm-Liouville Problems
We study the bifurcation of solutions from infinity of Sturm–Liouville eigenvalue problems with a spectral parameter in the boundary condition. These...
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Global Bifurcation Analysis of Generalized Liénard Polynomial Dynamical System
Using a bifurcation geometric approach, we study the global dynamics and solve the problem on the maximum number and distribution of limit cycles in...
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Global Hopf Bifurcation of a Diffusive Modified Leslie–Gower Predator–Prey Model with Delay and Michaelis–Menten Type Prey Harvesting
In this paper, we investigate the global Hopf bifurcation of a diffusive modified Leslie–Gower predator–prey model with delay and Michaelis–Menten...
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Global Bifurcation for Nonlinear Elliptic Problems with Gradient Term
We study the bifurcation phenomena for a class of nonlinear elliptic problems with Hardy potential and gradient term. Some results about global...
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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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Global bifurcation for a class of nonlinear ODEs
We briefly survey global bifurcation techniques, and illustrate their use by finding multiple positive periodic solutions to a class of second order...
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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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Unilateral global interval bifurcation for problem with mean curvature operator in Minkowski space and its applications
In this paper, we establish a unilateral global bifurcation result from interval for a class problem with mean curvature operator in Minkowski space...
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Bifurcation and Stability Analysis of a Discrete Predator–Prey Model with Alternative Prey
In this paper, we investigate the dynamics of a class of discrete predator–prey model with alternative prey. We prove the boundedness of the...
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Global bifurcation of solitary waves for the Whitham equation
The Whitham equation is a nonlocal shallow water-wave model which combines the quadratic nonlinearity of the KdV equation with the linear dispersion...
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Bifurcation
Consider the family of differential equations $$ \dot{u} = f(u, \lambda ), \;\; u\in...
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Bifurcation analysis of macroscopic traffic flow model based on the influence of road conditions
A macroscopic traffic flow model considering the effects of curves, ramps, and adverse weather is proposed, and nonlinear bifurcation theory is used...
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Bifurcation Structure of Interval Maps with Orbits Homoclinic to a Saddle-Focus
We study homoclinic bifurcations in an interval map associated with a saddle-focus of (2, 1)-type in ℤ 2 -symmetric systems. Our study of this map...
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Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect
A general time-delay reaction–diffusion–advection system with the Dirichlet boundary condition and spatial heterogeneity is investigated in this...
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Bifurcation control for a fractional-order delayed SEIR rumor spreading model with incommensurate orders
A fractional-order delayed SEIR rumor spreading model with a nonlinear incidence function is established in this paper, and a novel strategy to...
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Bifurcation mechanism and hybrid control strategy of a finance model with delays
Establishing financial models or economic models to describe economic phenomena in real life has become a heated discussion in society at present....
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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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Bifurcation analysis of an algal blooms dynamical model in trophic interaction
In this paper, we revisit the algal blooms model of plankton interactions initially proposed by Das and Sarkar (DCDIS-A, 14(3):401–414, 2007), where...
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Bifurcation analysis in a diffusive predator–prey system with nonlinear growth rate and protection zone
This paper is concerned with the steady-state bifurcations arising from a reaction–diffusion predator–prey system with nonlinear growth rate and a...
