DENSITY-DEPENDENT BIRTH AND DEATH PROCESS WITH STATE-DEPENDENT IMMIGRATION

被引：17

作者：

PARTHASARATHY, PR

KUMAR, BK

机构：

[1] Department of Mathematics Indian Institute of Technology, Madras

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1991年 / 15卷 / 01期

关键词：

D O I：

10.1016/0895-7177(91)90012-V

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A density-dependent birth and death process is considered, in which immigration is allowed whenever the population size reaches zero. An explicit expression is obtained for the population size in terms of the modified Bessel functions. Asymptotic behaviour of extinction probability and the mean are established.

引用

页码：11 / 16

页数：6

共 17 条

[1]

JAGERS P, 1975, BRANCHING PROCESSES

[2] POPULATION-SIZE-DEPENDENT BRANCHING-PROCESS WITH LINEAR RATE OF GROWTH [J].