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Stability of Synchronized Steady State Solution of Diffusive Lotka-Volterra Predator-Prey Model

Analysis of PDEs 2020-07-21 v2

Abstract

We study the reaction-diffusion Lotka-Volterra predator-prey model with Dirichlet boundary condition. In the case of equal diffusion rates and equal growth rates, the synchronized steady state solution is proved to be locally asymptotically stable.

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Cite

@article{arxiv.2001.11947,
  title  = {Stability of Synchronized Steady State Solution of Diffusive Lotka-Volterra Predator-Prey Model},
  author = {Yongyan Huang and Fuyi Li and Junping Shi},
  journal= {arXiv preprint arXiv:2001.11947},
  year   = {2020}
}

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7 pages