Stability Analysis of SARS‐CoV‐2 with Heart Attack Effected Patients and Bifurcation

Ahmad, Aqeel; Abbas, Safdar; Inc, Mustafa; Ghaffar, Abdul

doi:10.1002/adbi.202300540

Cited by 3 publications

(1 citation statement)

References 49 publications

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“…Here, we provide some definitions which are important to our research. Further exploration of the following definitions can be found in [22,28,29]. Definition 1.1.…”

Section: Preliminariesmentioning

confidence: 99%

Investigation of conjunctivitis adenovirus spread in human eyes by using bifurcation tool and numerical treatment approach

Javed,

Ahmad,

Ali

et al. 2024

Phys. Scr.

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In order to investigate the dynamics of the system, a mathematical model must be created to comprehend the dynamics of various prevalent diseases worldwide. The purpose of this investigation is to explore the early identification and treatment of conjunctivitis adenovirus by introducing vaccination methods for asymptomatic individuals. A mathematical model is constructed with the aim of strengthening the immune system. The ABC operator is then utilized to convert the model into a fractionally ordered one. The developed system is analyzed with analytical solutions by employing Sumudu transforms, including convergence analysis. The boundedness and uniqueness of the model are investigated using Banach space, which are key properties of such epidemic models. The uniqueness of the system is confirmed to ensure it has a unique solution. The stability of the newly constructed SEVIR system is investigated both qualitatively and statistically, and the system’s flip bifurcation has been verified. The developed system is examined through a Lyapunov function-based local and global stability study. The solution to the system is found using the Atangana-Toufik technique, a sophisticated method for reliable bounded solutions, employing various fractional values. Error analysis has also been conducted for the scheme. Simulations have been carried out to observe the real behavior and effects of the conjunctivitis virus, confirming that individuals with a strong immune response can recover without medication during the acute stage of infection. This helps to understand the real situation regarding the control of conjunctivitis adenovirus after early detection and treatment by introducing vaccination measures due to the strong immune response of the patients. Such investigations are useful for understanding the spread of the disease and for developing control strategies based on the justified outcomes.

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“…Here, we provide some definitions which are important to our research. Further exploration of the following definitions can be found in [22,28,29]. Definition 1.1.…”

Section: Preliminariesmentioning

confidence: 99%

Investigation of conjunctivitis adenovirus spread in human eyes by using bifurcation tool and numerical treatment approach

Javed,

Ahmad,

Ali

et al. 2024

Phys. Scr.

Self Cite

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Modeling and mathematical analysis of fractional order Eye infection (conjunctivitis) virus model with treatment impact: Prelicence and dynamical transmission

Nisar,

Ahmad,

Farman

et al. 2024

Alexandria Engineering Journal

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On modified Mittag–Leffler coupled hybrid fractional system constrained by Dhage hybrid fixed point in Banach algebra

Almalahi,

Aldowah,

Alqarni

et al. 2024

Sci Rep

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This research investigates the dynamics of nonlinear coupled hybrid systems using a modified Mittag–Leffler fractional derivative. The primary objective is to establish criteria for the existence and uniqueness of solutions through the implementation of Dhage’s hybrid fixed-point theorem. The study further analyzes the stability of the proposed model. To demonstrate the practical application of this framework, we utilize a modified Mittag–Leffler operator to model the transmission of the Ebola virus, known for its complex and diverse dynamics. The analysis is conducted using a combination of theoretical and numerical methods, including transforming the system of equations into an equivalent integral form, applying the fixed-point theorem, and developing a numerical scheme based on Lagrange’s interpolation for simulating the Ebola virus model. This study aims to enhance our understanding of Ebola virus dynamics and provide valuable insights for developing effective control strategies.

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Stability Analysis of SARS‐CoV‐2 with Heart Attack Effected Patients and Bifurcation

Cited by 3 publications

References 49 publications

Investigation of conjunctivitis adenovirus spread in human eyes by using bifurcation tool and numerical treatment approach

Investigation of conjunctivitis adenovirus spread in human eyes by using bifurcation tool and numerical treatment approach

Modeling and mathematical analysis of fractional order Eye infection (conjunctivitis) virus model with treatment impact: Prelicence and dynamical transmission

On modified Mittag–Leffler coupled hybrid fractional system constrained by Dhage hybrid fixed point in Banach algebra

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