Somayeh Ghiasi Hafezi - Ph.D., Department of Mathematics, Yazd University, Yazd, Iran
Mohammadreza Ahmadi Zand - Ph.D., Department of Mathematics, Yazd University, Yazd, Iran
Mohammadreza Molaei - Ph.D., Mahani Mathematical Research Center and Department of Pure Mathematics, Facultyof Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Maryam Eftekhar - M.D. Research and Clinical Center for Infertility, Yazd Reproductive Sciences Institute, Shahid Sadoughi University of Medical Sciences,Yazd, Iran

Background: Previous studies present various methods for prediction disease basedon statistics or neural networks.These models use statistics and results from pastprocedures to provide prediction through probability analysis.Objective: In this article, the authors present a dynamic model aiming at predicting thetreatment result of infertile women with the factor of polycystic ovary syndrome.Materials and Methods: For this purpose, the authors have divided the studypopulation into five groups: women prone to infertility, PCOS women, infertile womenundergoing the treatment with Clomiphene Citrate and Gonadotropin, infertile womenunder IVF treatment, and improved infertile women. Therefore, the authors modeledthe disease in infertile women mathematically and indicated that the free equilibriumpoint was asymptotically stable. Also the possibility of other equilibrium point of thesystem has been studied.Results: The authors showed that this equilibrium point was marginally stable. UsingStoke’s Theorem, the authors proved that the recurrence of the disease cycle withthe factor of polycystic ovary syndrome was not intermittent in infertile women. Theysolved this model numerically using Rung-Kutta method and sketched the figures ofthe resulted solutions.Conclusion: It shows that with increasing age, the ovarian reserve is decreased and thetreatment Clomiphene Citrate and Gonadotropin are not responsive, so IVF treatmentis recommended in this group of patients considering the graphs of the model.

Infertility, Polycystic ovary syndrome, In vitro fertilization, Asymptotically stable, Differential equation, Free equilibrium point