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Mahdy, A., Amer, Y., Youssef, E. (2023). Computational method and dissipative feature for solving a network SIRS model. Bulletin of Faculty of Science, Zagazig University, 2022(4), 99-106. doi: 10.21608/bfszu.2022.150899.1158
Amr Mahdy; Yasser Amer; eslam Youssef. "Computational method and dissipative feature for solving a network SIRS model". Bulletin of Faculty of Science, Zagazig University, 2022, 4, 2023, 99-106. doi: 10.21608/bfszu.2022.150899.1158
Mahdy, A., Amer, Y., Youssef, E. (2023). 'Computational method and dissipative feature for solving a network SIRS model', Bulletin of Faculty of Science, Zagazig University, 2022(4), pp. 99-106. doi: 10.21608/bfszu.2022.150899.1158
Mahdy, A., Amer, Y., Youssef, E. Computational method and dissipative feature for solving a network SIRS model. Bulletin of Faculty of Science, Zagazig University, 2023; 2022(4): 99-106. doi: 10.21608/bfszu.2022.150899.1158

Computational method and dissipative feature for solving a network SIRS model

Article 9, Volume 2022, Issue 4, January 2023, Page 99-106  XML PDF (530.76 K)
Document Type: Original Article
DOI: 10.21608/bfszu.2022.150899.1158
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Authors
Amr Mahdy email orcid 1; Yasser Amer2; eslam Youssef3
1Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt.
2Mathematics department, Faculty of Science, Zagazig University
3Mathematics
Abstract
In this research, we have presented the new network model for SIRS. The model has described seasonal influenza. We have discussed the dissipative feature for the SIRS model, the dynamic behaviors of the susceptible-infected-susceptible (SIS) model, the susceptible-infected-recovered (SIR) model, and the susceptible infected- recovered susceptible (SIRS) model have widely studied on complex networks. The model has described the diagram by the signal flow. We have given the Aboodh transform series decomposition method (ATSDM). Also, approach solutions of the nonlinear model for SIRS were procured via ATSDM: a procedure aimed to find the integral and the inverse transform of the troubles, augment the exponential function, and at a similar time, decompose the nonlinear condition. We have solved the SIRS model by using (ATSDM). We are showing the results with different initial conditions. The outcomes acquired from every one of the outlines considered are, without a bit of uncertainty, an authentication of the way that ATSDM is an amazing and believed rough technique that any specialist can utilize in getting an exact aftereffect of any issue of the sort thought about here in this current work.
Keywords
SIRS model; Homogenous network for SIRS order; Aboodh Transform
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