Tallis G M
Department of Statistics, University of Adelaide, South Australia.
Math Biosci. 1994 May;121(1):111-22. doi: 10.1016/0025-5564(94)90033-7.
General compartmental models are derived using competing risk arguments. When the risk variables are exponential, the results specialize to the standard stationary Markov compartmental model. Iterative methods of solving the fundamental integral equation are given, and the uniqueness of the solution is incidentally established. The analysis is extended to include fixed inputs, orderly and nonorderly stream infusions, and time dependency. The study is motivated by a biological system that evolves through various stages over time.
一般的 compartmental 模型是通过竞争风险论证推导出来的。当风险变量呈指数分布时，结果就专门化为标准的平稳马尔可夫 compartmental 模型。给出了求解基本积分方程的迭代方法，顺便确立了解的唯一性。分析扩展到包括固定输入、有序和无序流注入以及时间依赖性。这项研究的动机来自一个随着时间推移经历不同阶段演变的生物系统。
