IDEAS home Printed from
   My bibliography  Save this article

Maximizing the probability of pest extinction on a stochastic pest-predator model


  • Chan, Wenyaw


A pest-predator stochastic model proposed by Bartoszynski (1977) is adapted to cover control variables. The model assumes that the pest population is influenced by predation and can only increase at breeding seasons while the predator population follows a linear birth-and-death process. This paper extends the model by writing the part of death rate of the pest which is unrelated to predation as a function of pesticides level. Under the assumption of a fixed and non-transferable budget, this paper seeks to find an optimal policy for determining the best allocation of resources between purchasing new predators and purchasing the pesticide. The criterion for optimization is to maximize the probability of extinction for the pest population by a target time.

Suggested Citation

  • Chan, Wenyaw, 1996. "Maximizing the probability of pest extinction on a stochastic pest-predator model," Statistics & Probability Letters, Elsevier, vol. 30(3), pages 265-270, October.
  • Handle: RePEc:eee:stapro:v:30:y:1996:i:3:p:265-270

    Download full text from publisher

    File URL:
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:30:y:1996:i:3:p:265-270. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.