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A Mathematical Model Shows the Damage Level Due To Stress and Upper Bound of Reliability Function

S. Lakshmi, S. Alamelu


Several types of stresses (due to environmental or management condition of livestock and other mammalian species) lead to the failure of activation of Hypothalamo-Pituitary-Adrenocortical (HPA) axis and the Sympatho-Adrenal Medullary axis. Some examples of the stressors are thermal extremes, crowding, mixing of unfamiliar animal, transportation etc..

In this paper we obtain a new mathematical model by using a generalized damage process defined by the random function D(t). Where D(t) = At B where A and B are random variables and D(t) is the damage incurred at time ‘t’.

The life distribution of random variable can be obtained by using the standard techniques of probability theory and the upper bound of the reliability function is obtained.


ACTH-Adreno Corticotropin releasing hormone, CRH-Corticotropin Releasing Hormone, HPA, R(t) upper bound.

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