Stability of a stochastic logistic model under regime switching

In this letter, we consider a stochastic generalized logistic equation with Markovian switching. We obtain a critical value which has the property that if the critical value is negative, then the trivial solution of the model is stochastically globally asymptotically stable; if the critical value is positive, then the solution of the model is positive recurrent and has a unique ergodic stationary distribution. We find out that the critical value has a close relationship with the stationary probability distribution of the Markov chain.

• Publication year

  2015

• Venue

  Advances in Difference Equations

• Publication date

  2015-10-21

• Fields of study

  Mathematics, Economics

• Identifiers
  DOI 10.1186/S13662-015-0666-5
• 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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