Results 41 to 50 of about 26,882 (236)

Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration

Electronic Journal of Qualitative Theory of Differential Equations, 2016
A delayed predator-prey system with a constant rate immigration is considered. Local and global stability of the equilibria are studied, a fixed point bifurcation appears near the boundary equilibrium and Hopf bifurcation occurs near the positive ...
Gang Zhu, Junjie Wei
doaj   +1 more source

Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients [PDF]

arXiv, 2022
For the reaction networks with zero-one stoichiometric coefficients (or simply zero-one networks), we prove that if a network admits a Hopf bifurcation, then the rank of the stoichiometric matrix is at least four. As a corollary, we show that if a zero-one network admits a Hopf bifurcation, then it contains at least four species and five reactions.
arxiv  

Time Delay Effect on the Love Dynamical Model [PDF]

, 2011
We investigate the effect of time delay on the dynamical model of love. The local stability analysis proves that the time delay on the return function can cause a Hopf bifurcation and a cyclic love dynamics. The condition for the occurrence of the Hopf bifurcation is also clarified.
arxiv   +1 more source

Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay

Journal of Applied Mathematics, 2014
A delay-differential modelling of vector-borne is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation.
Yuanyuan Chen, Ya-Qing Bi
doaj   +1 more source

Hopf bifurcation analysis of Sel’kov model with time delay

Xi'an Gongcheng Daxue xuebao, 2023
The Sel’kov model with time-delay diffusion under homogeneous Neumann boundary conditions is considered. Firstly, the local asymptotically stability of the positive equilibrium point of the model is obtained by using spectral theory.
MA Yani, YUAN Hailong, WANG Yadi
doaj   +1 more source

Emergent robust oscillatory dynamics in the interlocked feedback-feedforward loops. [PDF]

IET Syst Biol
This work relates the network structure to dynamics to oscillatory function. The addition of an edge to a negative feedback network leads to an emergent structure with emergent dynamics that leads to a robust fine‐tuning of amplitude and frequency. Abstract One of the challenges that beset modelling complex biological networks is to relate networks to ...
Harika GL, Sriram K.
europepmc   +2 more sources

Turing-Hopf bifurcation and spatio-temporal patterns of a ratio-dependent Holling-Tanner system with diffusion [PDF]

, 2017
A diffusive ratio-dependent Holling-Tanner system subject to Neumann boundary conditions is considered. The existence of multiple bifurcations, including Turing-Hopf bifurcation, Turing-Truing bifurcation, Hopf-double-Turing bifurcation and triple-Turing bifurcation, are given.
arxiv   +1 more source

Stability and bifurcation in a reaction-diffusion-advection predator-prey model [PDF]

arXiv, 2022
A reaction-diffusion-advection predator-prey model with Holling type-II predator functional response is considered. We show the stability/instability of the positive steady state and the existence of a Hopf bifurcation when the diffusion and advection rates are large.
arxiv  

Jump resonance in the driven Chua's circuit to design frequency selective devices

International Journal of Circuit Theory and Applications, EarlyView.
The paper defines the conditions for the emergence of jump resonance in the driven Chua's circuit. Jump resonance features are characterized by means of numerical simulations and through an experimental circuit. Guidelines to design the Chua's circuit parameters to have the desired jump features are introduced, providing a strategy to realize highly ...
Arturo Buscarino, Carlo Famoso, Luigi Fortuna   +2 more
wiley   +1 more source

Four-dimensional Zero-Hopf Bifurcation for a Lorenz-Haken System [PDF]

arXiv, 2022
In this work we study the periodic orbits which bifurcate from a zero-Hopf bifurcations that a Lorenz-Haken system in R 4 can exhibit. The main tool used is the averaging theory.
arxiv