A fractional-order multi-vaccination model for COVID-19 with non-singular kernel

Omame, Andrew; Okuonghae, D.; Nwajeri, Ugochukwu Kizito; Onyenegecha, Chibueze P.

doi:10.1016/j.aej.2021.11.037

Cited by 31 publications

(12 citation statements)

References 36 publications

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“…The supervision and controlling of infectious diseases are premised on modeling and simulation as the principal decision-making implements [1][2][3]. Nevertheless, each infectious disease is characterized by its own spreading behavior, so and in each particular case, the choice of an appropriate manner to describe suitably this latter is strongly required [4][5][6][7].…”

Section: Introduction and Model Formulationmentioning

confidence: 99%

The impact of Lévy noise on the threshold dynamics of a stochastic susceptible‐vaccinated‐infected‐recovered epidemic model with general incidence functions

Kiouach,

Azami El‐idrissi,

Sabbar

2023

Math Methods in App Sciences

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Compartmental systems like the well‐famed SIR, SEIR, SQIR, SVIR, and their variants are efficient tools for the mathematical modeling of infectious illnesses, and they permit us to get a clear picture of how they proliferate. In actuality, the aleatory fluctuations factors present in the natural environment like storm surges, weather changes, and seismic tremors make the dissemination of epidemics susceptible to some randomness. This calls for a stronger mathematical formulation that takes into consideration this stochasticity effect. From this perspective, and in order to highlight in the same time the effect of the vaccination strategy, we survey in this paper an SVIR model with general incidence rates that is disturbed by both Brownian motions and Lévy jumps. Initially, we establish its well‐posedness in the sense that it has a unique positive and global‐in‐time solution. Then, we rely on some assumptions and nonstandard analytic techniques, to derive sufficient and almost necessary conditions for extinction, persistence in the mean, and also weak persistence. More explicitly, we identify firstly under some hypotheses a threshold between extinction and persistence in the mean. In other phrases, if , the infected population dies out while it persists in the mean when . Then, and by modifying the hypothetical framework in order to cover more incidence rates, we prove that can act also as a threshold between extinction and weak persistence. At last, we provide some numerical simulations to corroborate our findings and cover some particular cases of response functions.

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Section: Introduction and Model Formulationmentioning

confidence: 99%

The impact of Lévy noise on the threshold dynamics of a stochastic susceptible‐vaccinated‐infected‐recovered epidemic model with general incidence functions

Kiouach,

Azami El‐idrissi,

Sabbar

2023

Math Methods in App Sciences

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“…The incorporation of this effect is a motivation behind the development of other robust methodologies, such as fractional differential operators which incorporate non-local and non-singular kernels and exponential kernels. It is worth mentioning that the fractional order derivatives and integrals are playing a vital role in epidemiological modeling and other real world problems [16] , [17] , [18] , [19] , [20] , [21] , [22] , [23] , [24] as they capture the memory effect and nonlocal properties [6] , [10] .…”

Section: Introductionmentioning

confidence: 99%

A fractional order model for Dual Variants of COVID-19 and HIV co-infection via Atangana-Baleanu derivative

Omame

Isah

Abbas

et al. 2022

Alexandria Engineering Journal

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“…Mathematical modelling has become an important tool for studying the dynamics of infectious diseases [6] , [7] , [8] , [9] , [10] , [11] , [12] . Several models have been developed to study the dynamics of SARS-CoV-2 [13] , [14] , [15] , [16] , [17] .…”

Section: Introductionmentioning

confidence: 99%

Backward bifurcation and optimal control in a co-infection model for SARS-CoV-2 and ZIKV

2022

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A fractional-order multi-vaccination model for COVID-19 with non-singular kernel

Cited by 31 publications

References 36 publications

The impact of Lévy noise on the threshold dynamics of a stochastic susceptible‐vaccinated‐infected‐recovered epidemic model with general incidence functions

The impact of Lévy noise on the threshold dynamics of a stochastic susceptible‐vaccinated‐infected‐recovered epidemic model with general incidence functions

A fractional order model for Dual Variants of COVID-19 and HIV co-infection via Atangana-Baleanu derivative

Backward bifurcation and optimal control in a co-infection model for SARS-CoV-2 and ZIKV

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