Immunokinetic Model for COVID-19 Patients
Complexity
; 2022, 2022.
Article
in English
| ProQuest Central | ID: covidwho-1909917
ABSTRACT
In this paper, we develop a fractional-order differential model for the dynamics of immune responses to SARS-CoV-2 viral load in one host. In the model, a fractional-order derivative is incorporated to represent the effects of temporal long-run memory on immune cells and tissues for any age group of patients. The population of cytotoxic T cells (CD8+), natural killer (NK) cells, and infected viruses is unknown in this model. Some interesting sufficient conditions that ensure the asymptotic stability of the steady states are obtained. This model indicates some complex phenomena in COVID-19 such as “immune exhaustion” and “long COVID.” Sensitivity analysis is also investigated for model parameters to determine the parameters that are effective in disease control and future treatment as well as vaccine design. The model is verified with clinical and experimental data of 5 patients with COVID-19.
Mathematics; Infections; Infectious diseases; Population; Mathematical models; Immune system; Sensitivity analysis; Severe acute respiratory syndrome coronavirus 2; Epidemiology; Cytotoxicity; Parameter sensitivity; Disease control; Pandemics; Medical research; Lymphocytes; Fractional calculus; Viral diseases; Coronaviruses; Parameter estimation; Disease transmission; COVID-19
Full text:
Available
Collection:
Databases of international organizations
Database:
ProQuest Central
Language:
English
Journal:
Complexity
Year:
2022
Document Type:
Article
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