A stochastic SIR model for analysis of testosterone suppression of CRH-stimulated cortisol in men

Abstract

A stochastic SIR influenza vertical transmission model is examined in this paper where vaccination and an incidence rate that is not linear are considered. To determine whether testosterone regulates lower sintering HPA axis function in males, we used a stochastic SIR epidemic procedure with divergent influences on ACTH and cortisol. The suppressive effects on cortisol can be attributed to a peripheral (adrenal) locus. Following that, we came to the conclusion that experimental solutions have been discovered and the requisite statistical findings have been examined. Finally, we deduce that the given mathematical model and the results are relevant to medical research. In the future, this research can be further extended to simulate more results in the medical field.

mathematical model for prolactin secretion in healthy adults using lognormal distribution

“…Leema, Manickam and Mamtasay that the log -normal distribution is often a plausible and empirically adequate model 6 .A positive random variable Y is lognormally distributed, if the natural logarithm of Y is normally distributed with mean 𝜋 and variance 𝛿 2 . 7 If 𝑌 = log (𝐻) has a normal distribution with probability density function given by 2 ) then 𝐻 = 𝑒 𝑌 has a lognormal distribution with pdf…”

“…The probability distribution of a random variable whose logarithm follows a normal distribution is known as the log-normal distribution. It simulates phenomena whose relative growth rate is independent of size, as is the case with most natural phenomena such as tissue size and blood pressure, wealth distribution, and even chess game duration 1 .The distribution may also be seen in seemingly odd places, such as the number of moves it takes to conclude a chess game 2 .The lognormal distribution takes on numerous forms depending on the values of its parameters, including a bell-curve similar to the normal distribution 3 .The lognormal distribution may also be used to describe data that would otherwise be labeled normally distributed but is more or less skewed 4 .…”

Solution of a nonlinear fractional COVID-19 model

“…A proposed study on the role of natural microbial biostimulants to increase plant performance and protecting them against mosaic infection has been conducted using fractional nonlinear models (Kumar et al , 2021a). More recent research on fractional models arise in health sciences can be viewed in (Kumar et al , 2021b; Manickam et al , 2022; Kumar et al , 2022).…”