Bifurcation Analysis and Chaos Control in a Discrete-Time Parasite-Host Model
A discrete-time parasite-host system with bifurcation is investigated in detail in this paper. The existence and stability of nonnegative fixed points are explored and the conditions for the existence of flip bifurcation and Neimark-Sacker bifurcation ...
Xueli Chen, Lishun Ren
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Codimension-Two Bifurcations of Fixed Points in a Class of Discrete Prey-Predator Systems
The dynamic behaviour of a Lotka-Volterra system, described by a planar map, is analytically and numerically investigated. We derive analytical conditions for stability and bifurcation of the fixed points of the system and compute analytically the normal
R. Khoshsiar Ghaziani +2 more
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Critical bifurcation surfaces of 3D discrete dynamics
This paper deals with the analytical representation of bifurcations of each 3D discrete dynamics depending on the set of bifurcation parameters. The procedure of bifurcation analysis proposed in this paper represents the 3D elaboration and specification ...
Michael Sonis
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Codimension-one bifurcation analysis and chaos of a discrete prey–predator system
In this paper, we explore local dynamics at equilibrium points, the existence of bifurcation sets and codimension-one bifurcation analysis of a discrete prey–predator system with Holling type-II functional response.
Abdul Qadeer Khan +1 more
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Analysis of dynamics behavior of the discrete SIR model with a nonlinear incidence rate
In this paper we investigate the dynamics behavior of the discretetime SIR epidemic model with a nonlinear incidence rate λSpI. Firstly, we determine the topological type of the endemic fixed point, including the existence and stability of the ...
ZHU Chun-Mei, LI Yan
doaj
Experimental Evidence of Amplitude Death and Phase-Flip Bifurcation between In-Phase and Anti-Phase Synchronization. [PDF]
Manoj K, Pawar SA, Sujith RI.
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Stability and bifurcation analysis of a modified chemostat model
In this work, we derive a discrete-time chemostat model from a continuous-time population model using the forward Euler method. We first determine the model’s fixed points and analyze their local stability.
Büyükkahraman Mehtap Lafci
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Machine learning and bifurcation analysis in a discrete predator-prey model with neem-induced mortality. [PDF]
Mehmood T +3 more
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Stabilising spatiotemporal dynamics of mussel-algae coupled map lattices model via proportional-differential control. [PDF]
Zhu Y +4 more
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