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A Note On Hopf Bifurcations In A Delayed Diffusive Lotka-Volterra Predator-prey System.pdf

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Preview of A Note on Hopf bifurcations in a delayed diffusive Lotka-Volterra predator-prey system
🔗 Source: jxshix.people.wm.edu
📊 Size: 398 KB
📄 Pages: 7 pages
⬇️ Downloads: 82

Summary

The article discusses the stability and Hopf bifurcation of a delayed diffusive Lotka-Volterra predator-prey system. The system has a positive equilibrium, and the authors analyze the characteristic equations to determine the stability of this equilibrium. They show that the equilibrium can be destabilized through a Hopf bifurcation as the delay parameter increases, and they also consider a special case where the system exhibits a Hopf bifurcation of spatially inhomogeneous periodic solutions. The authors' results complement earlier work on the subject and provide new insights into the dynamics of the system.

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Description

The article discusses the stability and Hopf bifurcation of a delayed diffusive Lotka-Volterra predator-prey system.

Technical Information

  • File Format: PDF
  • File Size: 398 KB
  • Pages: 7
  • Language: EN
  • Total Downloads: 82
  • Last Updated: 3 weeks ago

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