Dynamics of a fractional order Zika virus model with mutant

Ali, Aatif; Islam, Saeed; Khan, M. Riaz; Rasheed, Saim; Allehiany, F.M.; Baili, Jamel; Khan, Muhammad Altaf; Ahmad, Harith

doi:10.1016/j.aej.2021.10.031

Cited by 34 publications

(12 citation statements)

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“…Dynamical chaos disappears when the fractional order falls below a threshold in a fractional-order chaotic system. There have been several articles discussing the minimum effective dimension below which the system remains chaotic, [1,2,3,4,5,6,7].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional fractional system with the stability condition and chaos control

Gholami

Ghaziani

Eskandari

2022

mmnsa

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A three-dimensional system is introduced in this paper and its local stability is analyzed. Our study establishes the validity and uniqueness of the linear feedback control for the proposed system and proves its existence and uniqueness. The numerical simulation algorithm described by Atanackovic and Stankovic is finally applied. The analytical results are analyzed and the dynamics of the system are explored in more detail.

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Section: Introductionmentioning

confidence: 99%

Three-dimensional fractional system with the stability condition and chaos control

Gholami

Ghaziani

Eskandari

2022

mmnsa

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“…Sinan et al reported the analysis for the transmission of malaria disease with optimal control and observed that optimal control such as spray of insecticides or proper treatment can quickly reduce the disease spread ( Sinan et al, 2022 ). Ali et al reported the optimal control of zika virus disease with the fractional derivatives ( Ali et al, 2022a , Ali et al, 2022b ). Similarly the utilization of the idea of optimal control for the control of COVID-19 can be seen in ( Aba Oud et al, 2021 ; S. W. Ahmad et al, 2021 ; Grigorieva et al, 2020 ; Zamir et al, 2020 ).…”

Section: Introductionmentioning

confidence: 99%

A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel

Ahmad

El-Kafrawy

Alandijany

et al. 2022

Computational Biology and Chemistry

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“…rough transmission dynamics, many researchers have attempted to investigate and comprehend the dynamical behavior of infectious diseases [4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

New Variant of SARS‐CoV‐2 Dynamics with Imperfect Vaccine

et al. 2022

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The occurrence of a new strain of SARS-CoV-2 cannot be ruled out. Therefore, this study seeks to investigate the possible effects of a hypothetical imperfect anti-COVID-19 vaccine on the control of not only the first variant of SARS-CoV-2 but also the second (new) variant of SARS-CoV-2. We further examine the rates and a , escape of quarantined infectious individuals from isolation centers. The control R c and basic reproduction numbers R 0 are computed which gives assess to obtain asymptotic stability of disease-free equilibrium point globally and the existence of a unique persistent equilibrium solution. Numerical results reveal that people infected with the second strain who are vaccinated with an imperfect vaccine are under control but the prevalence of the second variant enhances the prevalence of the first variant. Thus, discovering a vaccine that is effective (to a good extent) for the prevention of variant 2 (new variant) is necessary for the control of COVID-19. Numerical results also reveal that increase in the rate at which individuals infected with the first variant escape the isolation center gives rise to the population infected with the first variant and lowers the peak of the population infected with the second variant. This is probably because individuals infected with the second variant appear to be more careful with their lives and get vaccinated more than individuals infected with the first variant.

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Dynamics of a fractional order Zika virus model with mutant

Cited by 34 publications

References 34 publications

Three-dimensional fractional system with the stability condition and chaos control

Three-dimensional fractional system with the stability condition and chaos control

A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel

New Variant of SARS‐CoV‐2 Dynamics with Imperfect Vaccine

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