Study of transmission dynamics of novel COVID-19 by using mathematical model

Din, Rahim Ud; Shah, Kamal; Ahmad, Imtiaz; Abdeljawad, Thabet

doi:10.1186/s13662-020-02783-x

Cited by 47 publications

(25 citation statements)

References 29 publications

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“…, which leads to , and as in equations (20) and (26), which agrees with the domain of solution in (18).…”

Section: The Equilibrium Of the Seirq Modelsupporting

confidence: 81%

“…The second outflow is the population that flows out to the recovery group directly without needing treatment by transmission rate of recovery . The third outflow is a population that flows out to the infected group with the transmission rate of infected , and the fourth outflow is the population that experiences natural death by the transmission rate 4,6,15,21,22,24,26 .…”

Section: Formulation Of a Novel Coronavirus Disease (Seirq Model)mentioning

confidence: 99%

“…All inflows and outflows are shown in the flowchart in Fig. 1, and the five groups can be converted into equations to formulate the following system of first-order ordinary nonlinear differential equations 4,6,15,21,22,24,26 :…”

Section: Formulation Of a Novel Coronavirus Disease (Seirq Model)mentioning

confidence: 99%

“…From equation 22, we have (25) Substituting equation (25) into equation 21for , we obtain (26) Substituting equations (25) and (26) into equation 20, we obtain (27) where (28) Substituting equation (27) into equation 25, we obtain Substituting equations (27) and (29) into equation 24, we obtain 30Substituting equations (27), (29), and (30) into equation 23, we obtain 31We can see that at disease-free equilibrium (DFE)…”

Section: The Equilibrium Of the Seirq Modelmentioning

confidence: 99%

“…Some of the other parameters have been calculated, estimated, or assumed, as in Table 2. Table 2: The values of parameters in SEIRQ 3,8,10,15,19,21,24,26 Parameter Value Background Moreover, the reproduction number RBN is . In other words, the transmission rate at which the susceptible individual converted to an exposed individual is higher than one, which means the spread of COVID-19 is unstable.…”

Section: Applying the Seirq Model To Saudi Arabia Data Of The Spread mentioning

confidence: 99%

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A New Dynamical Modelling of the Epidemic Diseases to Assessing the Rates of Spread of COVID-19 in Saudi Arabia: SEIRQ Model

Youssef¹,

Alghamdi²,

Ezzat³

et al. 2020

Preprint

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A new model of critical epidemic dynamics for the emergence of the new coronavirus COVID-19 is being established in this paper. A new approach to the assessment and control of the COVID 19 epidemic is given with the SEIRQ pandemic model. This paper uses real knowledge on the distribution of COVID-19 in Saudi Arabia for mathematical modeling and dynamic analyses. The reproductive number and detailed stability analysis are provided in the SEIRQ model dynamics. In a Jacobian method of linearization, we will address the domain of the solution and the equilibrium situation based on the SEIRQ model. The equilibrium and its importance have been proven, and a study of the stability of the equilibrium free from diseases has been implemented. The reproduction number was evaluated in accordance with its internal parameters. The Lyapunov theorem of stability has proven the global stability of the current model's equilibrium. The SEIRQ model was contrasted by comparing the results based on the SEIRQ model with the real COVID-19 spread data in Saudi Arabia. Numerical evaluation and predictions were given. The results indicate that the SEIRQ model is a strong model for the study of the spread of epidemics, such as COVID-19. At the end of this work, we implemented an optimum protocol that can quickly stop the spread of COVID-19 among the Saudi populations.

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“…, which leads to , and as in equations (20) and (26), which agrees with the domain of solution in (18).…”

Section: The Equilibrium Of the Seirq Modelsupporting

confidence: 81%

Section: Formulation Of a Novel Coronavirus Disease (Seirq Model)mentioning

confidence: 99%

Section: Formulation Of a Novel Coronavirus Disease (Seirq Model)mentioning

confidence: 99%

Section: The Equilibrium Of the Seirq Modelmentioning

confidence: 99%

Section: Applying the Seirq Model To Saudi Arabia Data Of The Spread mentioning

confidence: 99%

See 3 more Smart Citations

A New Dynamical Modelling of the Epidemic Diseases to Assessing the Rates of Spread of COVID-19 in Saudi Arabia: SEIRQ Model

Youssef¹,

Alghamdi²,

Ezzat³

et al. 2020

Preprint

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Modeling of fractional‐order COVID‐19 epidemic model with quarantine and social distancing

Farman

Aslam

Akgül

et al. 2021

Math Methods in App Sciences

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Different countries of the world are facing a serious pandemic of corona virus disease (COVID‐19). One of the most typical treatments for COVID‐19 is social distancing, which includes lockdown; it will help to decrease the number of contacts for undiagnosed individuals. The main aim of this article is to construct and evaluate a fractional‐order COVID‐19 epidemic model with quarantine and social distancing. Laplace homotopy analysis method is used for a system of fractional differential equation (FDEs) with Caputo and Atangana–Baleanu–Caputo (ABC) fractional derivative. By applying the ABC and Caputo derivative, the numerical solution for fractional‐order COVID‐19 epidemic model is achieved. The uniqueness and existence of the solution is checked by Picard–Lindelof's method. The proposed fractional model is demonstrated by numerical simulation which is useful for the government to control the spread of disease in a practical way.

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Controlling the dynamics of a COVID‐19 mathematical model using a parameter switching algorithm

Danca

2023

Math Methods in App Sciences

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In this paper, the dynamics of an autonomous mathematical model of COVID-19 depending on a real bifurcation parameter is controlled by the parameter switching (PS) algorithm. With this technique, it is proved that every attractor of the considered system can be numerically approximated and, therefore, the system can be determined to evolve along, for example, a stable periodic motion or a chaotic attractor. In this way, the algorithm can be considered as a chaos control or anticontrol (chaoticization) algorithm. Contrarily to existing chaos control techniques that generate modified attractors, the obtained attractors with the PS algorithm belong to the set of the system attractors. It is analytically shown that using the PS algorithm, every system attractor can be expressed as a convex combination of some existing attractors. Interestingly, the PS algorithm can be viewed as a generalization of Parrondo's paradox.

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Study of transmission dynamics of novel COVID-19 by using mathematical model

Cited by 47 publications

References 29 publications

A New Dynamical Modelling of the Epidemic Diseases to Assessing the Rates of Spread of COVID-19 in Saudi Arabia: SEIRQ Model

A New Dynamical Modelling of the Epidemic Diseases to Assessing the Rates of Spread of COVID-19 in Saudi Arabia: SEIRQ Model

Modeling of fractional‐order COVID‐19 epidemic model with quarantine and social distancing

Controlling the dynamics of a COVID‐19 mathematical model using a parameter switching algorithm

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