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The per-capita growth rate of a species is influenced by density-independent, positive and negative density-dependent factors. These factors can lead to nonlinearity with a consequence that species may process multiple

The per-capita growth rate of a species is influenced by density-independent, positive and negative density-dependent factors. These factors can lead to nonlinearity with a consequence that species may process multiple nontrivial equilibria in its single state (e.g., Allee effects). This makes the study of permanence of discrete-time multi-species population models very challenging due to the complex boundary dynamics. In this paper, we explore the permanence of a general discrete-time two-species-interaction model with nonlinear per-capita growth rates for the first time.

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Date Created
  • 2013-10
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  • Text
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    Identifier
    • Digital object identifier: 10.3934/dcdsb.2013.18.2123
    • Identifier Type
      International standard serial number
      Identifier Value
      1531-3492
    • Identifier Type
      International standard serial number
      Identifier Value
      1553-524X
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    Kang, Y. (2013). Permanence of a general discrete-time two-species-interaction model with nonlinear per-capita growth rates. Discrete and Continuous Dynamical Systems - Series B, 18(8), 2123–2142. doi:10.3934/dcdsb.2013.18.2123

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