Diferansiyel Dönüşüm Yöntemi İle Rastgele Kalp Atış Modelinin Analizi

Abstract

In this paper, the differential transformation method is used to examine the random Zeeman Heartbeat Model. Some of the parameters and the initial conditions of the model are taken as random variables with Beta and Normal distributions, respectively. The approximate analytical solution of the random Zeeman Model is obtained and used to find the expectation and variance of the model components. The results from the random models including Beta and normal distributed random effects are compared and the approximate numerical characteristics are obtained for these cases. The approximate formulas are also modified by using Laplace-Padé Method to increase the convergence interval of the approximations.

Application of Formable Transform for Solving Growth and Decay Problems, Logistic Growth Model and Prey-Predator Model

“…We are looking for 𝑡 = 6, so we get the number of bacteria present in a certain culture as 𝑃(6) = 500𝑒 6 1 3 ln 3 ≅ 4500 by substituting the value of 𝑘 found in (30).…”

“…Pamuk and Soylu [23] utilized the Laplace transform method for logistic population growth and predator models. Additional works on integral transforms can be found in references [23][24][25][26][27][28][29][30].…”