Bulletin of Mathematical Biology

, Volume 43, Issue 4, pp 503–512 | Cite as

A one-compartment model with stochastic parameter

  • Karmeshu
  • C. K. Gupta


We consider a one-compartment system with stochastic transfer rate characterized either by Gaussian or by two-level jump process and study the time evolution of the (statistical) moments of the (random) amount of the substance present in the system. The effect of the coloured as well as of the white noise is investigated and it is found that the presence of stochasticity in the transfer rate parameter increases the relaxation time of the system. Finally, we obtain the conditions for the stability of the system in the moment sense.


Transfer Rate Coloured Noise Stochastic Parameter Compartmental System Moment Sense 
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Copyright information

© Society for Mathematical Biology 1981

Authors and Affiliations

  • Karmeshu
    • 1
  • C. K. Gupta
    • 2
  1. 1.Department of PhysicsUniversity of WaterlooWaterlooCanada
  2. 2.V.P. Chest InstituteUniversity of DelhiDelhiIndia

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