Journal
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL
Volume 10, Issue 2, Pages 598-619Publisher
SPRINGERNATURE
DOI: 10.1007/s40435-021-00822-3
Keywords
Caputo fractional differential equation; Epidemic; Stability; Optimal control
Funding
- The authors are grateful to the learned reviewers, Prof. Sergio Adriani David (Associate Editor) and Prof. Jian-Qiao Sun (Editor-in-Chief) for their careful reading, valuable comments and helpful suggestions, which have helped them to improve the presentat
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In this study, a fractional-order S-I-c-I-R epidemic model with carriers is proposed. The dynamics of the carrier model in the presence of treatment and vaccination is studied. Local and global stability of the model are analyzed using different criteria. Existence, uniqueness, positivity, and boundedness of the solutions are established. An optimal control problem is formulated and studied using the Pontryagin principle. Numerical simulations are performed to investigate the impacts of carriers on the transmission dynamics.
In this work, a fractional-order S-I-c-I-R epidemic model with carriers has been proposed where we have also studied the dynamics of the carrier model in the presence of treatment and vaccination. We have studied the local and global stability of the model with different criteria. The existence and uniqueness criterion along with positivity and boundedness of the solutions have also been established. An optimal control problem has been formulated and studied by the help of Pontryagin principle. Finally, we have performed numerical simulation and studied the impacts of carriers in the transmission dynamics.
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