Investigation of infertility treatments on infertile couples through fractional-order modeling approach

被引:0
|
作者
Yeolekar, Mahesh A. [1 ]
Yeolekar, Bijal M. [2 ]
Khirsariya, Sagar R. [3 ]
Chauhan, Jignesh P. [4 ]
机构
[1] Vishwakarma Govt Engn Coll, Dept Math, Ahmadabad 382424, Gujarat, India
[2] Nirma Univ, Dept Math & Humanities, Ahmadabad, Gujarat, India
[3] Marwadi Univ, Dept Math, Rajkot, Gujarat, India
[4] Charotar Univ Sci & Technol CHARUSAT, PD Patel Inst Appl Sci, Dept Math Sci, Anand 388421, Gujarat, India
关键词
Infertility treatment model; Caputo fractional derivative; qualitative and stability analysis; numerical simulation;
D O I
10.1142/S1793524524501559
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, our aim is to construct a nonlinear mathematical model to study the impact of treatment on the infertility problem. We utilize a well-known Caputo derivative with fractional-order to decrease the issue of infertility treatments. Banach fixed-point theory is used to determine the existence and uniqueness of the suggested model. Equilibrium points have been calculated by generating reproduction numbers as a part of local stability analysis, and Ulam-Hyers-Rassias stability is discussed as a generalized form of system to prove global stability. We use a fractional-order Euler's method to determine the numerical and graphical results. The result manifests the improvement of achieving a healthy pregnancy through hormonal and IVF treatment in women.
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收藏
页数:23
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