The Third National Seminar on Control and Optimization , 2019-11-13

Title : ( Optimal control of a mens infertility model )

Authors: Somayeh Ghiasi Hafezi , Sohrab Effati , Zahra Eslami Giski ,

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Abstract

In this paper, we consider a mathematical model of a mens infertility model with azoospermia and two control variables. A deterministic system of differential equation is presented. There are two treatment methods available in the infertility Clinic to an infertile individual. One is drug treatment, and the other is IVF treatment. We intend to control the infertile individuals with using control terms drug and IVF treatment strategies. We aim to minimize the total number of infertile individuals and the cost associated with the use of educational campaign and treatment on interval time. We used Pontryagin’s maximum principle to characterize the optimal levels of the two controls. The resulting optimality system is solved numerically. The results show that the optimal combination of treatment and educational campaign strategy required to achieve the set objective will depend on the relative cost of each of the control measures. The results from our simulation is discussed.

Keywords

, Pontryagin’s maximum principle, mens infertility model
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@inproceedings{paperid:1078134,
author = {سمیه غیاثی and Effati, Sohrab and زهرا اسلامی},
title = {Optimal control of a mens infertility model},
booktitle = {The Third National Seminar on Control and Optimization},
year = {2019},
location = {سبزوار, IRAN},
keywords = {Pontryagin’s maximum principle-mens infertility model},
}

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%0 Conference Proceedings
%T Optimal control of a mens infertility model
%A سمیه غیاثی
%A Effati, Sohrab
%A زهرا اسلامی
%J The Third National Seminar on Control and Optimization
%D 2019

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