Dynamical analysis of a class of SEIR models through delayed strategies
In recent decades, the mathematical modeling of infectious diseases, real-world problems, non-linear dynamical complex systems, etc., has increased significantly. According to World Health Organization, tobacco use is the cause of about 22% of cancer deaths. Another 10% are due to obesity, poor diet...
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Veröffentlicht in: | AIP advances 2023-07, Vol.13 (7), p.075115-075115-10 |
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creator | Alfwzan, Wafa F. Baleanu, Dumitru Raza, Ali Rafiq, Muhammad Ahmed, Nauman |
description | In recent decades, the mathematical modeling of infectious diseases, real-world problems, non-linear dynamical complex systems, etc., has increased significantly. According to World Health Organization, tobacco use is the cause of about 22% of cancer deaths. Another 10% are due to obesity, poor diet, lack of physical activity, and excessive drinking of alcohol. Approximately 5%–10% of cancers are due to inherited genetic defects. The objective is to investigate the impact of time delays in implementing control measures on the epidemic dynamics. The classification of cell population has four compartments: susceptible cells (x), cancer-infected cells (y), virus-free cells (v), and immune cells (z). Our focus is to find the equilibria of the problem and their stability. The stability of the solutions is of two types: locally asymptotic and globally asymptotic. The Routh–Hurwitz criterion, Volterra-type Lyapunov function, and LaSalle’s invariance principle are used to verify the stability of solutions. The graphical behavior depicts the stable solutions to a real-world problem and supports the stability analysis of the problem. The findings contribute to the understanding of epidemic dynamics and provide valuable information for designing and implementing effective intervention strategies in public health systems. |
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subjects | Asymptotic properties Cancer Complex systems Disease control Epidemics Immune system Infectious diseases Liapunov functions Public health Routh-Hurwitz criterion Stability analysis System effectiveness Tobacco |
title | Dynamical analysis of a class of SEIR models through delayed strategies |
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