Global stability and bifurcation of a COVID-19 virus modeling with possible loss of the immunity

Abdulkadhim, Murtadha M.; Al-Husseiny, Hassan Fadhil

doi:10.1063/5.0030669

Cited by 2 publications

(2 citation statements)

References 13 publications

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“…The ASARS-COV-2 virus strain transmitted from infected animal to human, it causes the infection of 10 million people, and the death of hundred thousands of people worldwide. This is according, to statistics that reported, by country authorities, including the local Health Ministry [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The Covid-19 has 3 types which are also known, as beta, gamma and alpha.…”

Section: Introductionmentioning

confidence: 92%

Applying Adomian Decomposition Method for solving the Covid-19 epidemic with Vaccine

Faisal

2023

wjps

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Abstract— A pandemic Covid-19 is an epidemic that spreads over a big region, Crosse international borders, and often affects a lot of people. Only a few pandemics result in severe illness in a subset of people or in an entire community. The virus has mainly affects the elderly population. The virus, that causes Covid-19, has mainly been transmitted through droplet generate once an infected persons exhales, sneezes and coughs. These symptoms are too heavy; to hang in air, and quickly, fall on surface or floor. The COVID-19 pandemic model including the Vaccination Campaign is of natural phenomenon which can be represented as a system of differential equations for the first order; the mathematical models include a system of several second order nonlinear equations. We applied the Adomian decomposition methods to the mathematical models of Covid-19. The main advantage of this method is that it can be directly applied to all kinds of linear and nonlinear differential equations, homogeneous or nonhomogeneous, with constant or variable coefficients. The derivatives of all compartments of the coronavirus model are continuous at t ≥ 0. The solutions of the model are non-negativity. It indicates that the, infection, will be gradually the epidemic and disappear will, stop. If, R_0>1, the average of each affected individually. More than one person has infected, and the incidence of infection is in wrinkles. That means the epidemic, will not be end, while maintain the existence of the disease, the R_0=1 means that each infected patient results in an average infections.

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Section: Introductionmentioning

confidence: 92%

Applying Adomian Decomposition Method for solving the Covid-19 epidemic with Vaccine

Faisal

2023

wjps

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“…Mohsen et al [10] have introduced a mathematical model for COVID-19 pandemic involving the quarantine strategy and media coverage effects. Abdulkadhim and Alhusseiny [11] have studied the global stability and bifurcation of a COVID-19 virus modeling with possible loss of the immunity. Kucharski et al [12] have discussed early dynamics of transmission and control of COVID-19 in a mathematical model.…”

Section: Ibn Al Haitham Journal For Pure and Applied Sciencementioning

confidence: 99%

The Effect of Individuals Asymptomatic (Carrier) on The Dynamical Behavior Of a COVID-19 Virus

Al-Husseiny¹,

Mohsen²,

Zhou³

2021

IHJPAS

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In this paper, a novel coronavirus (COVID-19) model is proposed and investigated. In fact, the pandemic spread through a close contact between infected people and other people but sometimes the infected people could show two cases; the first is symptomatic and the other is asymptomatic (carrier) as the source of the risk. The outbreak of Covid-19 virus is described by a mathematical model dividing the population into four classes. The first class represents the susceptible people who are unaware of the disease. The second class refers to the susceptible people who are aware of the epidemic by media coverage. The third class is the carrier individuals (asymptomatic) and the fourth class represents the infected individuals. The existence, uniqueness and bounded-ness of the solutions of the model are discussed. All possible equilibrium points are determined. The locally asymptotically stable of the model is studied. Suitable Lyapunov functions are used to investigate the globally asymptotical stability of the model. Finally, numerical simulation is carried out to confirm the analytical results and to understand the effect of varying the parameters of how the disease spreads.

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Global stability and bifurcation of a COVID-19 virus modeling with possible loss of the immunity

Cited by 2 publications

References 13 publications

Applying Adomian Decomposition Method for solving the Covid-19 epidemic with Vaccine

Applying Adomian Decomposition Method for solving the Covid-19 epidemic with Vaccine

The Effect of Individuals Asymptomatic (Carrier) on The Dynamical Behavior Of a COVID-19 Virus

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