Stochastic analysis of environmental fluctuations in a compartmental system

• DOI: 10.1007/bf00318199
• Publication Date: 2004-10-13T09:06:12Z
• Authors: Prajneshu; C. K. Gupta; U. Sharma
• Keywords: 0301 basic medicine; 03 medical and health sciences

In this paper the general two-compartment system with environmental stochasticity is investigated. The transfer rates and outputs are assumed to be random telegraph processes. The Laplace-transform of the mean-value function of the amount of substance present in the two compartments is evaluated. The Gaussian white noise limit case is also discussed and the stability of the system is examined. It is shown that while the deterministic model is stable, environmental stochasticity may induce in the mean-value function all sorts of behaviour — stable, unstable and oscillatory. This is in contrast to the intrinsic stochasticity in linear models wherefor the mean-value function is the same as the solution of the deterministic counterpart.