Uniform global asymptotic stability of time-varying Lotka-Volterra predator-prey systems

• Zheng, Wei

• Sugie, Jitsuro

Abstract

The model to be dealt in this paper is N′ = (a + ch(t) − dh(t)N − bP)N, P′ = (− c + dN)P. Here, h is a nonnegative and locally integrable function. This model is a predator-prey system of LotkaVolterra type with variable coefficients and it has a single interior equilibrium (c/d, a/b). Sufficient conditions are given for the interior equilibrium to be uniformly globally asymptotically stable. One of them is described by using a certain uniform divergence condition on h. Our result is p

Journal

• Applied Mathematics Letters

  Applied Mathematics Letters 87 125-133, 2019-01

  Elsevier

Keywords

• Uniform global asymptotic stability
• Lotka-Volterra predator-prey model
• Uniform divergence
• Growth condition
• Time-varying system

Details

• CRID: 1050001338492628736
• NII Article ID: 120006549287
• ISSN: 08939659
• Web Site: http://ir.lib.shimane-u.ac.jp/45167
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles