Discrete and continuum models of COVID-19 virus, formal solutions, stability and comparison with real data

Abdel‐Gawad, H. I.; Abdel-Gawad, Ahmed H.

doi:10.1016/j.matcom.2021.05.016

Cited by 9 publications

(9 citation statements)

References 9 publications

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“…Proof. Let's derive the relation in (28) with the control law (31) and the equivalent model (7) when 𝜀 m (k) = 0, we have…”

Section: Optimal Control Law: Interventional Policymentioning

confidence: 99%

Data‐driven model prediction and optimal control for interventional policy of a class of susceptible‐infectious‐removed dynamics with COVID‐19 data

Treesatayapun

2022

Adv Control Appl

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Adaptive optimal‐control and model prediction are proposed for a class of susceptible‐infectious‐removed dynamics according to the COVID‐19 data. From the practical point of view, data sets of COVID‐19 pandemics are daily collected and presented in a discrete‐time sequence. Therefore, the discrete‐time mathematical model of COVID‐19 pandemics is formulated in this work. By developing the time‐varying transmission rate, the model's accuracy is significantly contributed to the actual data of the COVID‐19 pandemic. Furthermore, the interventional policy is derived by the proposed optimal controller when the closed‐loop performance is guaranteed by theoretical aspects and numerical results.

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“…Proof. Let's derive the relation in (28) with the control law (31) and the equivalent model (7) when 𝜀 m (k) = 0, we have…”

Section: Optimal Control Law: Interventional Policymentioning

confidence: 99%

Data‐driven model prediction and optimal control for interventional policy of a class of susceptible‐infectious‐removed dynamics with COVID‐19 data

Treesatayapun

2022

Adv Control Appl

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“…Using mathematical formulations to model the transmission of infectious diseases like COVID-19 is a well-established approach to analysing individuals and their infections in communities. Several studies have been published examining the dynamics of the COVID-19 epidemic worldwide [14] , [15] , [16] , [17] , [18] , [19] , [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] , [30] , [32] , [35] , [36] , [37] , [38] , [39] , [41] , [42] , [43] , [44] , [45] , [46] , [47] , [48] , [49] , [50] , [52] , [53] , [54] , [55] , [57] , [58] , [59] , [60] , [61] , [62] , [63] , [64] , [65] , [66] , [67] , [68] , [69] , [70] , [71] , [72] , [73] , [74] , [75] , [76] , [77] , [78] , [79] , [80] , [81] , [82] , [83] . Vaccination’s impact on the spread of COVID-19 has been the subject of several articles [40] , [51] .…”

Section: Introductionmentioning

confidence: 99%

Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive

Kumar¹,

Santra

Mahapatra³

2023

Mathematics and Computers in Simulation

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“…COVID-19 with effects of lockdown and their transmission dynamics is explored in [36] . Some work about the COVID-19 dynamics in different perspective can be seen in [37] , [38] , [39] , [40] .…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling and stability analysis of the COVID-19 with quarantine and isolation

Ullah

Khan

et al. 2022

Results in Physics

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The present paper focuses on the modeling of the COVID-19 infection with the use of hospitalization, isolation and quarantine. Initially, we construct the model by spliting the entire population into different groups. We then rigorously analyze the model by presenting the necessary basic mathematical features including the feasible region and positivity of the problem solution. Further, we evaluate the model possible equilibria. The theoretical expression of the most important mathematical quantity of major public health interest called the basic reproduction number is presented. We are taking into account to study the disease free equilibrium by studying its local and global asymptotical analysis. We considering the cases of the COVID-19 infection of Pakistan population and find the parameters using the estimation with the help of nonlinear least square and have . Further, to determine the influence of the model parameters on disease dynamics we perform the sensitivity analysis. Simulations of the model are presented using estimated parameters and the impact of various non-pharmaceutical interventions on disease dynamics is shown with the help of graphical results. The graphical interpretation justify that the effective utilization of keeping the social-distancing, making the quarantine of people (or contact-tracing policy) and to make hospitalization of confirmed infected people that dramatically reduces the number of infected individuals (enhancing the quarantine or contact-tracing by 50% from its baseline reduces 84% in the predicted number of confirmed infected cases). Moreover, it is observed that without quarantine and hospitalization the scenario of the disease in Pakistan is very worse and the infected cases are raising rapidly. Therefore, the present study suggests that still, a proper and effective application of these non-pharmaceutical interventions are necessary to curtail or minimize the COVID-19 infection in Pakistan.

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Discrete and continuum models of COVID-19 virus, formal solutions, stability and comparison with real data

Cited by 9 publications

References 9 publications

Data‐driven model prediction and optimal control for interventional policy of a class of susceptible‐infectious‐removed dynamics with COVID‐19 data

Data‐driven model prediction and optimal control for interventional policy of a class of susceptible‐infectious‐removed dynamics with COVID‐19 data

Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive

Mathematical modeling and stability analysis of the COVID-19 with quarantine and isolation

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