Affiliation:
1. Department of Mathematics , Birla Institute of Technology and Science Pilani , Hyderabad - , Telangana , India
Abstract
Abstract
This article investigates a proposed new mathematical model that considers the infected individuals using various rate coefficients such as transmission, progression, recovery, and vaccination. The fact that the dynamic analysis is completely determined by the basic reproduction number is established. More specifically, local and global stabilities of the disease-free equilibrium and the endemic equilibrium are proved under certain parameter conditions when the basic reproduction number is below or above unity. A realistic computer simulation is performed for better understanding of the variations in trends of different compartments after the outbreak of the disease.
Subject
Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis
Reference21 articles.
1. [1] Bowman, Christopher S.; Arino, Julien; Moghadas, Seyed M. Evaluation of vaccination strategies during pandemic outbreaks. Math. Biosci. Eng. 8 (2011), no. 1, 113–122.
2. [2] Bernoussi, Amine Global stability analysis of an SEIR epidemic model with relapse and general incidence rates. Appl. Sci. 21 (2019), 54–68.
3. [3] Bernoussi, Amine Global stability analysis of an SEIR epidemic model with relapse and general incidence rates. Electron. J. Math. Anal. Appl. 7 (2019), no. 2, 168–180.
4. [4] Castillo-Chavez, Carlos; Feng, Zhilan; Huang, Wenzhang On the computation of ℛ0 and its role on global stability. Mathematical approaches for emerging and reemerging infectious diseases: an introduction (Minneapolis, MN, 1999), 229–250, IMA Vol. Math. Appl., 125, Springer, New York, 2002.
5. [5] Cushing, J. M.; Diekmann, Odo The many guises of ℛ0 (a didactic note). J. Theoret. Biol. 404 (2016), 295–302.
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