The Basic Reproduction Number and Delayed Action of T Cells for Patients Infected with SARS-CoV-2

Yingdong Yin, Yupeng Xi, Cheng Xu and Qiwen Sun
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Yingdong Yin: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Yupeng Xi: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Cheng Xu: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Qiwen Sun: Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou 510006, China

Mathematics, 2022, vol. 10, issue 12, 1-18

Abstract: COVID-19 has been prevalent for the last two years. The transmission capacity of SARS-CoV-2 differs under the influence of different epidemic prevention policies, making it difficult to measure the infectivity of the virus itself. In order to evaluate the infectivity of SARS-CoV-2 in patients with different diseases, we constructed a viral kinetic model by adding the effects of T cells and antibodies. To analyze and compare the delay time of T cell action in patients with different symptoms, we constructed a delay differential equation model. Through the first model, we found that the basic reproduction number of severe patients is greater than that of mild patients, and accordingly, we constructed classification criteria for severe and mild patients. Through the second model, we found that the delay time of T cell action in severe patients is much longer than that in mild patients, and accordingly, we present suggestions for the prevention, diagnosis, and treatment of different patients.

Keywords: viral kinetic model; SARS-CoV-2; basic reproduction number; the delay time of T cells action (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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