Numerical study of anthroponotic cutaneous leishmaniasis model with conformable and β-conformable derivatives

Tasmia Roshan; Surath Ghosh; Sunil Kumar

doi:10.1007/s12046-025-02747-5

Numerical study of anthroponotic cutaneous leishmaniasis model with conformable and β-conformable derivatives

Tasmia Roshan
, Surath Ghosh
, Sunil Kumar

National Institute of Technology Jamshedpur
Vellore Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

This study describes an anthroponotic cutaneous leishmaniasis (ACL) model caused by the parasite Leishmania tropica. This model uses operators that are conformable and β-conformable and consists of seven components with two groups of population, namely humans and vectors. We demonstrate the existence and uniqueness of the solution using fixed-point theory. Also, the Adams–Moulton method is implemented here for the Liouville–Caputo (LC) sense fractional conformable operators. Numerical simulations are provided for different values of the fractional order.

Original language	English
Article number	100
Journal	Sadhana - Academy Proceedings in Engineering Sciences
Volume	50
Issue number	2
DOIs	https://doi.org/10.1007/s12046-025-02747-5
State	Published - Jun 2025
Externally published	Yes

Keywords

Adams–Moulton method
Anthroponotic cutaneous leishmaniasis model
fractional conformable derivative
β-conformable derivatives

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10.1007/s12046-025-02747-5

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abstract = "This study describes an anthroponotic cutaneous leishmaniasis (ACL) model caused by the parasite Leishmania tropica. This model uses operators that are conformable and β-conformable and consists of seven components with two groups of population, namely humans and vectors. We demonstrate the existence and uniqueness of the solution using fixed-point theory. Also, the Adams{\textendash}Moulton method is implemented here for the Liouville{\textendash}Caputo (LC) sense fractional conformable operators. Numerical simulations are provided for different values of the fractional order.",

keywords = "Adams{\textendash}Moulton method, Anthroponotic cutaneous leishmaniasis model, fractional conformable derivative, β-conformable derivatives",

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AU - Roshan, Tasmia

AU - Ghosh, Surath

AU - Kumar, Sunil

N1 - Publisher Copyright: © Indian Academy of Sciences 2025.

PY - 2025/6

Y1 - 2025/6

N2 - This study describes an anthroponotic cutaneous leishmaniasis (ACL) model caused by the parasite Leishmania tropica. This model uses operators that are conformable and β-conformable and consists of seven components with two groups of population, namely humans and vectors. We demonstrate the existence and uniqueness of the solution using fixed-point theory. Also, the Adams–Moulton method is implemented here for the Liouville–Caputo (LC) sense fractional conformable operators. Numerical simulations are provided for different values of the fractional order.

AB - This study describes an anthroponotic cutaneous leishmaniasis (ACL) model caused by the parasite Leishmania tropica. This model uses operators that are conformable and β-conformable and consists of seven components with two groups of population, namely humans and vectors. We demonstrate the existence and uniqueness of the solution using fixed-point theory. Also, the Adams–Moulton method is implemented here for the Liouville–Caputo (LC) sense fractional conformable operators. Numerical simulations are provided for different values of the fractional order.

KW - Adams–Moulton method

KW - Anthroponotic cutaneous leishmaniasis model

KW - fractional conformable derivative

KW - β-conformable derivatives

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JO - Sadhana - Academy Proceedings in Engineering Sciences

JF - Sadhana - Academy Proceedings in Engineering Sciences

IS - 2

M1 - 100

ER -

Numerical study of anthroponotic cutaneous leishmaniasis model with conformable and β-conformable derivatives

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Keywords

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