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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 | ||
| تاریخ دریافت: 04 خرداد 1399، تاریخ بازنگری: 09 مرداد 1399، تاریخ پذیرش: 07 مهر 1399 | ||
| 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 | ||
| مراجع | ||
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