Population death sequences and Cox processes driven by interacting Feller diffusions

نویسندگان

  • Gang Wei
  • Peter Clifford
  • Jianfeng Feng
چکیده

Abstract We carry out a complete study on the relationship between Cox processes driven by interacting Feller diffusions and death sequences of immigration–emigration linked population networks. It is first proved that the Cox process driven by a Feller diffusion is equivalent to the death sequence of a birth and death process. The conclusion is then generalized to the case of Cox processes driven by interacting Feller diffusions and death sequences of interacting populations.

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تاریخ انتشار 2002