Stability and bifurcation analysis for a delayed Lotka-Volterra predator-prey system
By Xiang-Ping Yan, Y. Chu. 2006
84 citations recorded by the source corpus.
The present paper deals with a delayed Lotka-Volterra predator-prey system. By linearizing the equations and by analyzing the locations on the complex plane of the roots of the characteristic equation, we find the necessary conditions that the parameters should verify in order to have the oscillations in the system. In addition, the normal form of the Hopf bifurcation arising in the system is determined to investigate the direction and the stability of periodic solutions bifurcating from these Hopf bifurcations. To verify the obtained conditions, a special numerical example is also included.
Subfields: Computer Networks and Communications, Geometry and Topology, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/efd77e72051b08dc26308ce0134a898e3dd1e2b8
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In Computer Networks and Communications
In Geometry and Topology
In Public Health, Environmental and Occupational Health
Citations in the corpus
- An Exact Method for Computing Delay Margin for Stability of Load Frequency Control Systems With Constant Communication Delays (2016, methodology): “In addition to these applications, this frequency-domain direct method were successfully applied to investigate the stability of other time-delayed systems such as mechanical system [26]–[28], predator-prey systems [29], [30] and a logistic model [31].”