MODELING AND ANALYSIS OF THE DYNAMICS OF COVID-19 TRANSMISSION IN PRESENCE OF IMMIGRATION AND VACCINATION

被引：3
|
作者：
Semlali, Mohammed [1 ]
Hattaf, Khalid [2 ]
El Kettani, Mohamed Elyousfi [1 ]
机构：
[1] Ibn Tofail Univ, Fac Sci, Lab Partial Differential Equat Algebra & Spectral, POB 133, Kenitra 14000, Morocco
[2] Ctr Reg Metiers Educ & Format CRMEF, Equipe Rech Modelisat & Enseignement Math ERMEM, Casablanca, Morocco
来源：
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2022年
关键词：
COVID-19; immigration; vaccination; general incidence rate; stability; sensitivity analysis; EPIDEMIC MODEL; SIR;
D O I：
10.28919/cmbn/7270
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper aims to propose and study the dynamics of COVID-19 transmission model with immigration, vaccination and general incidence function. The global existence, positivity and boundedness of solutions are proved. Also, the sensitivity analysis is used to discover parameters that have impact on the threshold value of the basic reproduction number R-0. Furthermore, we construct appropriate Lyapunov functions to prove the global stability of equilibria.
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页数：13
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