A (2+1)-Dimensional Fractional-Order Epidemic Model with Pulse Jumps for Omicron COVID-19 Transmission and Its Numerical Simulation

被引：2

作者：

Zhu, Wen-Jing ^{[1
]}

Shen, Shou-Feng ^{[2
]}

Ma, Wen-Xiu ^{[3
,4
,5
,6
]}

机构：

[1] Zhejiang Univ, Sch Med, Hangzhou Peoples Hosp 7, Affiliated Mental Hlth Ctr, Hangzhou 310013, Peoples R China

[2] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China

[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[4] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[5] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[6] North West Univ, Sch Math & Stat Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

来源：

MATHEMATICS | 2022年 / 10卷 / 14期

基金：

中国国家自然科学基金;

关键词：

epidemic model; fractional-order; Omicron COVID-19; pulse jump; numerical simulation; DYNAMICS;

D O I：

10.3390/math10142517

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we would like to propose a (2+1)-dimensional fractional-order epidemic model with pulse jumps to describe the spread of the Omicron variant of COVID-19. The problem of identifying the involved parameters in the proposed model is reduced to a minimization problem of a quadratic objective function, based on the reported data. Moreover, we perform numerical simulation to study the effect of the parameters in diverse fractional-order cases. The number of undiscovered cases can be calculated precisely to assess the severity of the outbreak. The results by numerical simulation show that the degree of accuracy is higher than the classical epidemic models. The regular testing protocol is very important to find the undiscovered cases in the beginning of the outbreak.

引用

页数：14