Complex dynamics of a fractional-order monkeypox transmission system with saturated recovery function

Barman, Snehasis; Jana, Soovoojeet; Majee, Suvankar; Khatua, Anupam; Kar, Tapan Kumar

doi:10.1140/epjs/s11734-024-01283-3

Eur. Phys. J. Spec. Top.

2024

DOI: 10.1140/epjs/s11734-024-01283-3

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Complex dynamics of a fractional-order monkeypox transmission system with saturated recovery function

Snehasis Barman,

Soovoojeet Jana,

Suvankar Majee

et al.

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2024

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Cited by 2 publications

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Theoretical analysis of a fractional-order nipah virus transmission system with sensitivity and cost-effectiveness analysis

Barman,

Jana,

Majee

et al. 2024

Phys. Scr.

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Nipah virus is a newly discovered infectious illness in a crowded world. It has a deadly impact on both the human and animal populations. Controlling the disease will need a deeper understanding of the route of transmission. To better explain how the illness behaves, an epidemic system consisting of eight separate compartments has been devised based on the actual requirement, which uses a set of fractional-order differential equations. With the assistance of the next-generation matrix method, the basic reproduction numbers for humans ($\mathscr R_0^m$) and animals ($\mathscr R_0^a$) are determined. Depending upon the numerical quantity of $\mathscr R_0^m, \mathscr R_0^a$, the feasibility and existence requirements of the system at the equilibria are investigated. Also, we observe that the system displays two transcritical bifurcations: one occurs at $\mathscr R_0^a=1$ for any value of $\mathscr R_0^m$ and the second one occurs at $\mathscr R_0^m=1$ for $\mathscr R_0^a<1$. Additionally, we looked at optimal control strategies by considering treatment and media as two dynamic control variables. Two ratios are computed to evaluate the cost-effectiveness of all feasible control measures: the incremental cost-effectiveness ratio and the infected averted ratio. Moreover, the impact of system parameters on disease transmission is determined by performing the sensitivity analysis.

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Theoretical analysis of a fractional-order nipah virus transmission system with sensitivity and cost-effectiveness analysis

Barman,

Jana,

Majee

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

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Modeling marburg virus control with limited hospital beds: a fractional approach

Soni,

Kumar Sinha

2024

Phys. Scr.

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Controlling the Marburg virus (MARV) remains challenging for humans due to its high mortality rate and rapidtransmission. We formulate a deterministic model incorporating limited hospital beds for MARV transmission.We extend traditional integer-order approaches to a fractional-order perspective employing the Atangana-BaleanuCaputo(ABC) derivative due to finding a derivative with a Mittag-Leffler kernel. We demonstrate the positivityand boundedness of the solution, ensuring its biological relevance. We calculated the basic reproduction numberwith the help of the next-generation matrix (NGM) approach for populations and performed a sensitivity analysisto identify critical parameters influencing the spread of the virus. We explore Marburg-free equilibrium and obtainits local and global stability. We prove that the solution exists and is unique to the proposed model. We also obtaincompactness and continuity of the solution.Furthermore, we explore the proposed model’s stability by applying theHyers-Ulam (HU) stability. We discuss the analysis of numerical solutions using a two-step Lagrange interpolationapproach. We conclude that increased hospital beds significantly reduce the Marburg virus infection. This studyprovides valuable insights into how healthcare resource availability affects MARV transmission dynamics anddemonstrates the broader relevance of fractional calculus in epidemiological models.

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Complex dynamics of a fractional-order monkeypox transmission system with saturated recovery function

Cited by 2 publications

References 61 publications

Theoretical analysis of a fractional-order nipah virus transmission system with sensitivity and cost-effectiveness analysis

Theoretical analysis of a fractional-order nipah virus transmission system with sensitivity and cost-effectiveness analysis

Modeling marburg virus control with limited hospital beds: a fractional approach

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