Tabassum, Muhammad Farhan, Akgul, Ali, Akram, Sana, Farman, Muhammad, Karim, Rabia, Hassan, Saadia Mahmood ul. (1400). Treatment of dynamical nonlinear Measles model: An evolutionary approach. هنرهای کاربردی, 13(1), 1629-1638. doi: 10.22075/ijnaa.2020.20450.2156
Muhammad Farhan Tabassum; Ali Akgul; Sana Akram; Muhammad Farman; Rabia Karim; Saadia Mahmood ul Hassan. "Treatment of dynamical nonlinear Measles model: An evolutionary approach". هنرهای کاربردی, 13, 1, 1400, 1629-1638. doi: 10.22075/ijnaa.2020.20450.2156
Tabassum, Muhammad Farhan, Akgul, Ali, Akram, Sana, Farman, Muhammad, Karim, Rabia, Hassan, Saadia Mahmood ul. (1400). 'Treatment of dynamical nonlinear Measles model: An evolutionary approach', هنرهای کاربردی, 13(1), pp. 1629-1638. doi: 10.22075/ijnaa.2020.20450.2156
Tabassum, Muhammad Farhan, Akgul, Ali, Akram, Sana, Farman, Muhammad, Karim, Rabia, Hassan, Saadia Mahmood ul. Treatment of dynamical nonlinear Measles model: An evolutionary approach. هنرهای کاربردی, 1400; 13(1): 1629-1638. doi: 10.22075/ijnaa.2020.20450.2156

Treatment of dynamical nonlinear Measles model: An evolutionary approach

International Journal of Nonlinear Analysis and Applications
مقاله 134، دوره 13، شماره 1، خرداد 2022، صفحه 1629-1638    اصل مقاله (647.42 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20450.2156
نویسندگان
Muhammad Farhan Tabassum1؛ Ali Akgul* 2؛ Sana Akram1؛ Muhammad Farman3؛ Rabia Karim4؛ Saadia Mahmood ul Hassan4
1Department of Mathematics, University of Management and Technology, Lahore, Pakistan
2Art and Science Faculty, Department of Mathematics, Siirt University, 56100 Siirt, Turkey
3Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan
4Department of Sports Sciences, Faculty of Allied Health Science, University of Lahore, Lahore, Pakistan
چکیده
Measles is a respiratory system infection caused by a Morbillivirus genus virus. The disease spreads directly or indirectly through respiration from the infected person's nose and mouth after contact with fluids. The vast population of infects in developing countries is yet at risk. Generally, the mathematical model of Measles virus propagation is nonlinear and therefore changeable to solve by traditional analytical and finite difference schemes by processing all properties of the model like boundedness, positivity feasibility. In this paper, an unconditionally convergent semi-analytical approach based on modern Evolutionary computational technique and Padé- Approximation (EPA) has been implemented for the treatment of non-linear Measles model. The convergence solution of EPA scheme on population: susceptible people, infective people, and recovered people have been studied and found to be significant. Eventually, EPA reduces contaminated levels very rapidly and no need to supply step size. A robust and durable solution has been established with the EPA in terms of the relationship between disease-free equilibrium in the population. When comparing the Non-Standard Finite Difference (NSFD) approach, the findings of EPA have shown themselves to be far superior.
کلیدواژه‌ها
Optimization؛ Epidemiological Measles Model؛ Padé-approximation؛ Differential Evolution؛ Penalty Function
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