A new approach on discrete time and period dependent branching process

International Journal of Applied Mathematics and Computation

Behrouz Fathi Vajargah¹ 

[1] Mojtaba Moradi$$

关键词: General Branching Process;    Galton-Watson;    Discrate Time;    Monte Carlo Simulation;    Periods Dependent;   

DOI  :  10.0000/ijamc.2012.4.1.311

来源: PSIT Kanpur

【 摘 要 】

In this paper, we consider discrete time branching process with overlapping generations.Distribution of the number of offspring depends on the period that parentsparticles may generate their offspring in next two or more periods of generation.The introduced model in this paper differs with Galton-Watson branching processat age of particles where live more than one unit of time. In this model, particlesalso allow to have generation for several times during their life. Finally, we obtainthe mean and variance of the number of patients in periodn and estimate thepopulation mean by the Monte Carlo simulation.

【 授权许可】

Unknown