A diffusive predator-prey system with prey refuge and gestation delay

The dynamics of a diffusive predator-prey system with prey refuge and gestation delay is investigated in this paper. For a non-delay system, global stability, Turing instability and Hopf bifurcation are studied. For a delay system, time delay induced instability and Hopf bifurcation are discussed. By the theory of normal form and the center manifold method, the direction and stability of the bifurcating periodic solution are discussed.

• Publication year

  2017

• Venue

  Advances in Differential Equations

• Publication date

  2017-06-05

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1186/s13662-017-1197-z
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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