TY - JOUR
T1 - An Optimal Control Problem for Dengue Fever Model Using Caputo Fractional Derivatives
AU - Vellappandi, Madasamy
AU - Govindaraj, Venkatesan
AU - Kumar, Pushpendra
AU - Nisar, Kottakkaran Sooppy
N1 - Publisher Copyright:
© 2024 NSP Natural Sciences Publishing Cor.
PY - 2024
Y1 - 2024
N2 - In this paper, we study the optimal control of the dengue disease model with the vertical transmission in terms of the Caputo fractional derivatives. We apply the control parameters like larvicide, fogging, vaccination, and isolation to stop the spread of the dengue epidemic and explore the influence of the fractional order α (0.6 ≤ α ≤ 1) on the dengue transmission model. We apply a forward-backward sweep scheme using the Adams-type predictor-corrector approach for solving the proposed control problem. Finally, the effects of optimal controls considering three different cases in the given model are discussed.
AB - In this paper, we study the optimal control of the dengue disease model with the vertical transmission in terms of the Caputo fractional derivatives. We apply the control parameters like larvicide, fogging, vaccination, and isolation to stop the spread of the dengue epidemic and explore the influence of the fractional order α (0.6 ≤ α ≤ 1) on the dengue transmission model. We apply a forward-backward sweep scheme using the Adams-type predictor-corrector approach for solving the proposed control problem. Finally, the effects of optimal controls considering three different cases in the given model are discussed.
KW - Caputo fractional derivative
KW - dengue fever
KW - forward-backward sweep method
KW - Optimal control
UR - https://www.scopus.com/pages/publications/85185801167
U2 - 10.18576/pfda/100101
DO - 10.18576/pfda/100101
M3 - Article
AN - SCOPUS:85185801167
SN - 2356-9336
VL - 10
SP - 1
EP - 13
JO - Progress in Fractional Differentiation and Applications
JF - Progress in Fractional Differentiation and Applications
IS - 1
ER -
