Modeling for the menstrual cycle with non-local operators

Abstract

Recall that the menstrual cycle is a sequence of physiological adjustments to hormone production and the uterus and ovaries' structural makeup that enable pregnancy. Indeed, mathematicians use formulae to try to understand any real-world issue. Recently, a classical differential operator-based menstrual cycle mathematical model was proposed. In this study, we have replaced the traditional differential operator with several nonlocal operators, introducing the effect of nonlocality into the mathematical formulation. We have discussed several theoretical analyses related to equilibrium points, and two different approaches were utilized to present the prerequisites for the existence and uniqueness of system solutions. The system was numerically solved with some simulations using an existing numerical technique known as Heun's approach.