Search
Search Results
-
Stability and Hopf Bifurcation in the General Langford System
This paper is concerned with the general Langford system under homogeneous Neumann boundary conditions. The stabilities of constant solutions are...
-
Research on hunting stability and bifurcation characteristics of nonlinear stochastic wheelset system
A stochastic wheelset model with a nonlinear wheel-rail contact relationship is established to investigate the stochastic stability and stochastic...
-
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...
-
SageMath Tools for Stability and Bifurcation for Discrete Dynamical Systems
This paper presents some interactive tools, created in the computer algebra system SageMath, dealing with the stability and bifurcation for one- and...
-
Stability Theory
Stability of solutions is an important qualitative property in linear as well as nonlinear systems. The objective of this chapter is to introduce...
-
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...
-
Spectral Theory, Stability and Continuation
We review concepts to describe stability and hyperbolicity of nonautonomous ordinary differential equations based on their linearisation, namely...
-
Stability and bifurcation of a discrete predator-prey system with Allee effect and other food resource for the predators
Concerned in this paper is a discrete predator-prey system with Allee effect and other food resources for the predators. The conditions on the...
-
Nonautonomous Bifurcation
Three classes of nonautonomous bifurcations are introduced for ordinary differential equations, namely attractor bifurcation, solution bifurcation...
-
Stability and Bifurcation Analysis of Two Spatial Population Dynamics Models
In marine fisheries management, Lundberg and Jonzen model is widely used when habitats are heterogeneous. In this paper, a modified version of this...
-
Asymptotic Stability, Bifurcation Analysis and Chaos Control in a Discrete Evolutionary Ricker Population Model with Immigration
This research deals with the derivation and dynamical analysis of a discrete-time evolutionary Ricker population model. The model is built using...
-
Nonautonomous Bifurcation
As in the continuous time situation, bifurcations in nonautonomous difference equations are classified as attractor bifurcation, solution bifurcation...
-
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...
-
Bifurcation Theory
Let X and Y be real Banach spaces. Let \(f \in \mathcal{C}(X; Y)\)...
-
Hopf Bifurcation and Stochastic Stability of a Prey-Predator Model Including Prey Refuge and Intra-specific Competition Between Predators
This study looked at the dynamics of a prey–predator mechanism with a Holling type II feature response that integrated prey refuge and the predator...
-
Diffusion-Driven Instability and Bifurcation in the Predator–Prey System with Allee Effect in Prey and Predator Harvesting
Modelling of predator–prey interactions has vast history in ecological theory and these models have been developed in large scale since the initial...
-
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...
-
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...
-
Bifurcation Analysis of an Advertising Diffusion Model
This research aims to investigate the impact of diffusion on the stability and bifurcation behavior of advertising diffusion systems. The study...
-
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...