Mathematical Study of Two-Strain Epidemic Model With Crossover Behavior

Aziz Khan; Thabet Abdeljawad; J. F. Gómez-Aguilar; Eduardo Pérez-Careta

doi:10.1002/mma.11111

Mathematical Study of Two-Strain Epidemic Model With Crossover Behavior

Aziz Khan
, Thabet Abdeljawad
, J. F. Gómez-Aguilar^*
, Eduardo Pérez-Careta

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

This article aims to explore the qualitative theory of a two-strain epidemic model that incorporates a piecewise operator. The study employs fixed-point theory to analyze the existence and uniqueness of solutions for the model. Additionally, the study presents numerical simulations utilizing the Newton difference technique. The article acknowledges that sudden changes are a common feature in several natural and physical occurrences, including the spread of infectious diseases such as two-strain pandemics. Therefore, the study uses the piecewise operator to investigate the spread of a two-strain pandemic. Finally, the study provides numerical results for different fractional orders.

Original language	English
Pages (from-to)	13399-13411
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	48
Issue number	14
DOIs	https://doi.org/10.1002/mma.11111
Publication status	Published - 30 Sept 2025
Externally published	Yes

Keywords

Newton differences technique
existence results
numerical solutions
piecewise operator
two-strain epidemic model

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1002/mma.11111

Cite this

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title = "Mathematical Study of Two-Strain Epidemic Model With Crossover Behavior",

abstract = "This article aims to explore the qualitative theory of a two-strain epidemic model that incorporates a piecewise operator. The study employs fixed-point theory to analyze the existence and uniqueness of solutions for the model. Additionally, the study presents numerical simulations utilizing the Newton difference technique. The article acknowledges that sudden changes are a common feature in several natural and physical occurrences, including the spread of infectious diseases such as two-strain pandemics. Therefore, the study uses the piecewise operator to investigate the spread of a two-strain pandemic. Finally, the study provides numerical results for different fractional orders.",

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AU - Khan, Aziz

AU - Abdeljawad, Thabet

AU - Gómez-Aguilar, J. F.

AU - Pérez-Careta, Eduardo

PY - 2025/9/30

Y1 - 2025/9/30

N2 - This article aims to explore the qualitative theory of a two-strain epidemic model that incorporates a piecewise operator. The study employs fixed-point theory to analyze the existence and uniqueness of solutions for the model. Additionally, the study presents numerical simulations utilizing the Newton difference technique. The article acknowledges that sudden changes are a common feature in several natural and physical occurrences, including the spread of infectious diseases such as two-strain pandemics. Therefore, the study uses the piecewise operator to investigate the spread of a two-strain pandemic. Finally, the study provides numerical results for different fractional orders.

AB - This article aims to explore the qualitative theory of a two-strain epidemic model that incorporates a piecewise operator. The study employs fixed-point theory to analyze the existence and uniqueness of solutions for the model. Additionally, the study presents numerical simulations utilizing the Newton difference technique. The article acknowledges that sudden changes are a common feature in several natural and physical occurrences, including the spread of infectious diseases such as two-strain pandemics. Therefore, the study uses the piecewise operator to investigate the spread of a two-strain pandemic. Finally, the study provides numerical results for different fractional orders.

KW - Newton differences technique

KW - existence results

KW - numerical solutions

KW - piecewise operator

KW - two-strain epidemic model

UR - https://www.scopus.com/pages/publications/105007434670

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DO - 10.1002/mma.11111

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 14

ER -

Mathematical Study of Two-Strain Epidemic Model With Crossover Behavior

Abstract

Keywords

UN SDGs

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