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Vaccine breakthrough and rebound infections modeling:Analysis for the United States and the ten *** regions

Infectious Disease Modelling 2023年第3期8卷 717-741页

作者： Olusegun Michael Otunuga Alexandra Yu Department of Mathematics Augusta University112015th StrGE 2018AugustaGA30912USA

A vaccine breakthrough infection and a rebound infection cases of COVID-19 are studied and analyzed for the ten *** of Health and Human Services(HHS)regions and the United States as a nation in this *** innovative multi-strain susceptible-vacci-nated-exposed-asymptomatic-symptomatic-recovered(SVEAIR)epidemic model is devel-oped for this purpose for a population assumed to be susceptible to n-different variants of the disease,and those who are vaccinated and recovered from a specific strain k(kn)of the disease are immune to present strain and its predecessors j=1,2,…,k,but can still be infected by newer emerging strains j=k+1,k+2,…,*** model is used to estimate epidemiological parameters,namely,the latent and infectious periods,the transmission rates,vaccination rates,recovery rates for each of the Delta B.1.617.2,Omicron B.1.1.529,and lineages BA.2,BA.2.12.1,BA.4,BA.5,BA.1.1,BA.4.6,and BA.5.2.6 for the United States and for each of the ten HHS *** transmission rate is estimated for both the asymptomatic and symptomatic *** effect of vaccines on each strain is *** that guarantees existence of an endemic with certain number of strains is derived and used to describe the endemic state of the population.

关键词： multi-strain Delta Omicron Lineages Vaccine breakthrough Rebound infection

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Lyapunov function and global st ability for a two-strain SEIR model with bilinear and non-monotone incidence

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International Journal of Biomathematics 2019年第2期12卷 197-216页

作者： Dounia Bentaleb Saida Aminet Laboratory of Mathematics and Applications Faculty of Sciences and Technologies Mohammedia University Hassan II of Casablanca BP 146 Mohammedia 20650Morocco

In this paper,we study a multi-strain SEIR epidemic model with both bilinear and nonmonotone incidence *** biologically motivated assumptions,we show that the model has two basic reproduction numbers that we noted R0,1 and R0,2;and four equilibrium *** the Lyapunov method,we prove that if R0,1 and R0,2 are less than one then the disease-free equilibrium is Globally Asymptotically Stable,thus the disease will be ***,if one of the two basic reproduction numbers is greater than one,then the strain that persists is that with the larger basic reproduction *** finally if both of the two basic reproduction numbers are equal or greater than one then the total endemic equilibrium is globally asymptotically stable.A numerical simulation is also presented to illustrate the influence of the psychological effect,of people to infection,on the spread of the disease in the *** simulation can be used to determine the status of different diseases in a region using the corresponding data and infectious disease parameters.

关键词： SEIR multi-strain bilinear incidence non-monotone incidence

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