Advertising and sales promotion are two important specific marketing communications tools. In this paper, nonlinear differential equation and single parameter sales promotion strategy are introduced into an advertising model and investigated ...
Junhai Ma, Hui Jiang
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Transcritical bifurcation and flip bifurcation of a new discrete ratio-dependent predator-prey system [PDF]
Abstract After a discrete two-species predator-prey system with ratio-dependent functional response is topologically and equivalently reduced, some new dynamical properties for the new discrete system are formulated. The one is for the existence and local stability for all equilibria of this new system.
Xianyi Li, Yuqing Liu
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Dynamics of a Discrete-Time Chaotic Lü System
A discrete-time chaotic Lü system is investigated. Firstly, we give the conditions of local stability of this system around feasible fixed points. Then, we show analytically that discretized Lü system undergoes a flip-Neimark Sacker (NS) bifurcation when
Sarker Md. Sohel Rana, Md. Jasim Uddin
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The Diffusion-Driven Instability for a General Time-Space Discrete Host-Parasitoid Model
In this paper, we consider a general time-space discrete host-parasitoid model with the periodic boundary conditions. We analyzed and obtained some usual conditions, such as Turing instability occurrence, Flip bifurcation occurrence, and Neimark-Sacker ...
Xuetian Zhang, Chunrui Zhang
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Complex Dynamic Analysis for a Rent-Seeking Game with Political Competition and Policymaker Costs
This paper investigates the dynamics of rent-seeking games that include political competition and policymaker cost model. The local asymptotic stability of multiple equilibrium points and Nash equilibrium points are studied.
Xiuqin Yang, Feng Liu, Hua Wang
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Behavior Analysis of a Class of Discrete-Time Dynamical System with Capture Rate
In this paper, we study the stability and bifurcation analysis of a class of discrete-time dynamical system with capture rate. The local stability of the system at equilibrium points are discussed.
Xiongxiong Du, Xiaoling Han, Ceyu Lei
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Complex Dynamics Analysis of a Discrete Amensalism System with a Cover for the First Species
Of interest is the dynamics of the discrete-time amensalism model with a cover on the first species. We first obtain the existence and stability of fixed points and the conditions for the permanent coexistence of two species.
Qimei Zhou, Fengde Chen, Sijia Lin
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Complicate dynamical analysis of a discrete predator-prey model with a prey refuge
In this paper, some complicated dynamic characteristics are formulated for a discrete predator-prey model with a prey refuge. After studying the local dynamical properties about fixed points, our main purpose is to investigate condition(s) for the ...
A. Q. Khan, Ibraheem M. Alsulami
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Bifurcation Analysis of Homoclinic Flips at Principal Eigenvalues Resonance
One orbit flip and two inclination flips bifurcation is considered with resonant principal eigenvalues. We introduce a local active coordinate system to establish bifurcation equation and obtain the conditions when the original homoclinic orbit is kept or broken.
Tiansi Zhang, Deming Zhu
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Computation of periodic solution bifurcations in ODEs using bordered systems [PDF]
We consider numerical methods for the computation and continuation of the three generic secondary periodic solution bifurcations in autonomous ODEs, namely the fold, the period-doubling (or flip) bifurcation, and the torus (or Neimark–Sacker) bifurcation.
Doedel, E. J. +2 more
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