Volume 22, Issue 1 (3-2025)                   jor 2025, 22(1): 107-123 | Back to browse issues page

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Davarian N, Heydari A, Hashemi Mehne S, Heydari A A. Presenting a Multi-Group Model and Optimal Control of an Infectious Disease in Iran. jor 2025; 22 (1) :107-123
URL: http://jamlu.liau.ac.ir/article-1-2274-en.html
Department of Mathematics, Payame Noor University, Tehran, Iran , a_heidari@pnu.ac.ir
Abstract:   (644 Views)

       This paper presents a multi-group model of COVID-19, categorizing the population into four compartments: susceptible, asymptomatic infective, symptomatic infective, and recovered. We investigate the disease-free equilibrium and the basic reproduction number. Through targeted interventions, primarily focused on reducing asymptomatic and symptomatic cases, we aim to effectively control and potentially eliminate the disease in certain regions. Empirical data from Isfahan, Khorasan-Razavi, and Fars provinces are utilized to validate the model's effectiveness. In the images obtained from the simulation results, it can be seen that the spread of the disease has been controlled by the controllers, and the number of infected people without symptoms and infected people with symptoms has been greatly reduced.                                           

Full-Text [PDF 1292 kb]   (67 Downloads)    
Type of Study: Research | Subject: Special
Received: 2024/08/24 | Accepted: 2025/01/17

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