Mathematical Analysis of Two Strains Covid-19 Disease Using SEIR Model

被引：1

作者：

Eegunjobi, Adetayo Samuel ^{[1
]}

Makinde, Oluwole Daniel ^{[2
]}

机构：

[1] Namibia Univ Sci & Technol, Math Dept, Windhoek, Namibia

[2] Stellenbosch Univ, Fac Mil Sci, Private Bag X2, ZA-7395 Saldanha, South Africa

来源：

JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES | 2022年 / 54卷 / 02期

关键词：

Covid-19; dynamic; mathematical analysis; reproduction number; stability theory; strains; CO-DYNAMICS; STABILITY; SPREAD; SIR;

D O I：

10.5614/j.math.fund.sci.2022.54.2.1

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The biggest public health problem facing the whole world today is the COVID-19 pandemic. From the time COVID-19 came into the limelight, people have been losing their loved ones and relatives as a direct result of this disease. Here, we present a six-compartment epidemiological model that is deterministic in nature for the emergence and spread of two strains of the COVID-19 disease in a given community, with quarantine and recovery due to treatment. Employing the stability theory of differential equations, the model was qualitatively analyzed. We derived the basic reproduction number R-0 for both strains and investigated the sensitivity index of the parameters. In addition to this, we probed the global stability of the disease-free equilibrium. The disease-free equilibrium was revealed to be globally stable, provided R-0 < 1 and the model exhibited forward bifurcation. A numerical simulation was performed, and pertinent results are displayed graphically and discussed.

引用

页码：211 / 231

页数：21

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