Critical diapause portion for oscillations: Parametric trigonometric functions and their applications for Hopf bifurcation analyses
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DOI: 10.1002/mma.5424
Abstract: An important adaptive mechanism for ticks in respond to variable climate is diapause. Incorporating this physiological mechanism into a tick population dynamics model results in a delay differential system with multiple delays. Here, we consider… read more here.
Keywords: diapause portion; trigonometric functions; hopf bifurcation; parametric trigonometric ... See more keywords
Delay‐included Turing‐Hopf bifurcation in the diffusive mussel‐algae model
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DOI: 10.1002/mma.7290
Abstract: In this paper, the main content is the consideration of the dynamics of a diffusive mussel‐algae model with delay subject to Neumann boundary condition. We will analyze the corresponding characteristic equation and study the existence… read more here.
Keywords: mussel algae; diffusive mussel; turing hopf; bifurcation ... See more keywords
Global Hopf Bifurcation for Differential-Algebraic Equations with State-Dependent Delay
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DOI: 10.1007/s10884-017-9640-0
Abstract: We develop a global Hopf bifurcation theory for differential equations with a state-dependent delay governed by an algebraic equation, using the $$S^1$$S1-equivariant degree. We apply the global Hopf bifurcation theory to a model of genetic… read more here.
Keywords: state; global hopf; state dependent; dependent delay ... See more keywords
Stability and Double-Hopf Bifurcations of a Gause–Kolmogorov-Type Predator–Prey System with Indirect Prey-Taxis
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DOI: 10.1007/s10884-020-09878-9
Abstract: In this paper, we deal with the Gause–Kolmogorov-type predator–prey system with indirect prey-taxis, which means that directional movement of predators is stimulated by some chemicals emitted by preys. The existence of the positive equilibrium, the… read more here.
Keywords: prey; indirect prey; double hopf; hopf bifurcation ... See more keywords
Hopf Bifurcation for General 1D Semilinear Wave Equations with Delay
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DOI: 10.1007/s10884-021-10009-1
Abstract: We consider boundary value problems for 1D autonomous damped and delayed semilinear wave equations of the type $$\begin{aligned} \partial ^2_tu(t,x)- a(x,\lambda )^2\partial _x^2u(t,x)= b(x,\lambda ,u(t,x),u(t-\tau ,x),\partial _tu(t,x),\partial _xu(t,x)), \; x \in (0,1) \end{aligned}$$ ∂ t… read more here.
Keywords: general semilinear; hopf bifurcation; bifurcation general; semilinear wave ... See more keywords
Hopf Bifurcation in a Delayed Population Model Over Patches with General Dispersion Matrix and Nonlocal Interactions
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DOI: 10.1007/s10884-021-10070-w
Abstract: In this paper, we consider a single species population model over patches with delay and nonlocal interactions, for which no symmetry for the dispersion (connection) matrix is assumed. We show that there exists a positive… read more here.
Keywords: model patches; nonlocal interactions; model; dispersion ... See more keywords
Stability and Hopf Bifurcation Analysis of a General Tri-diagonal BAM Neural Network with Delays
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DOI: 10.1007/s11063-021-10613-8
Abstract: In this article, a general tri-diagonal bidirectional associative memory (BAM) neural network model with 2n-neurons is proposed. Our investigates have some distinct superiorities, including forward transmission delay and feedback delay in the model are considered.… read more here.
Keywords: bam neural; hopf bifurcation; neural network; stability ... See more keywords
Stability, convergence and Hopf bifurcation analyses of the classical car-following model
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DOI: 10.1007/s11071-019-04783-3
Abstract: Reaction delays play an important role in determining the qualitative dynamical properties of a platoon of vehicles traversing a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of… read more here.
Keywords: hopf bifurcation; convergence; classical car; stability ... See more keywords
Bifurcation Properties for Fractional Order Delayed BAM Neural Networks
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DOI: 10.1007/s12559-020-09782-w
Abstract: In the past several decades, many papers involving the stability and Hopf bifurcation of delayed neural networks have been published. However, the results on the stability and Hopf bifurcation for fractional order neural networks with… read more here.
Keywords: neural networks; bam neural; fractional order; hopf bifurcation ... See more keywords
Bistability and Hopf bifurcation of a tritrophic system with Holling functional responses
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DOI: 10.1016/j.heliyon.2021.e06212
Abstract: In this paper we analyze the dynamics of a tritrophic food chain, with functional responses of Holling type III and II for the mesopredator and superpredator respectively and logistic growth rate for the prey. We… read more here.
Keywords: bistability hopf; bifurcation tritrophic; system; hopf bifurcation ... See more keywords
Stability and Hopf bifurcation of fractional genetic regulatory networks with diffusion
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DOI: 10.1016/j.ifacol.2017.08.1973
Abstract: Abstract In this paper, a fractional genetic regulatory network with diffusion is proposed and several dynamic behaviors are investigated. The local stability and instability without and with diffusion are studied, respectively. The criteria for the… read more here.
Keywords: fractional genetic; diffusion; stability hopf; genetic regulatory ... See more keywords