Optimal Control for a Nonlinear Tuberculosis Model

被引：0
|
作者：
P. T. Sowndarrajan
L. Shangerganesh
N. Nyamoradi
S. Hariharan
机构：
[1] Vellore Institute of Technology,School of Advanced Sciences
[2] National Institute of Technology Goa,Department of Applied Sciences
[3] Razi University,Department of Mathematics, Faculty of Sciences
来源：
Iranian Journal of Science | 2023年 / 47卷
关键词：
Nonlocal-diffusion; Schauder’s fixed-point theorem; Optimal control; Adjoint problem; 49J20; 47H10; 76R50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A system of partial differential equations modeling the transmission dynamics of tuberculosis is considered to represent the density of susceptible, vaccinated, latent stage infected, active stage infected, and treated individuals.We studied the optimal control problem of the coupled nonlinear system with nonlocal diffusion. First, an optimal solution for the proposed model is established and we derive the optimality system. Then, solutions for the direct and the adjoint problem are proved. Numerical simulations are provided to validate the theoretical results.
引用
收藏
页码：1695 / 1706
页数：11
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