Pub Date : 2020-06-02DOI: 10.21203/rs.3.rs-32476/v1
I. Elmojtaba, F. Al-Musalhi, A. Al-Ghassani, N. Al-Salti
A mathematical model with environmental transmission has been proposed and analyzed to investigate its role in the transmission dynamics of the ongoing COVID-19 outbreak. Two expressions for the basic reproduction number R0 have been analytically derived using the next generation matrix method. The two expressions composed of a combination of two terms related to human to human and environment to human transmissions. The value of R0 has been calculated using estimated parameters corresponding to two datasets. Sensitivity analysis of the reproduction number to the corresponding model parameters has been carried out. Existence and stability analysis of disease free and endemic equilibrium points have been presented in relation with the obtained expressions of R0. Numerical simulations to demonstrate the effect of some model parameters related to environmental transmission on the disease transmission dynamics have been carried out and the results have been demonstrated graphically.
{"title":"Investigating the Role of Environmental Transmission in COVID-19 Dynamics: A Mathematical Model Based Study","authors":"I. Elmojtaba, F. Al-Musalhi, A. Al-Ghassani, N. Al-Salti","doi":"10.21203/rs.3.rs-32476/v1","DOIUrl":"https://doi.org/10.21203/rs.3.rs-32476/v1","url":null,"abstract":"\u0000 A mathematical model with environmental transmission has been proposed and analyzed to investigate its role in the transmission dynamics of the ongoing COVID-19 outbreak. Two expressions for the basic reproduction number R0 have been analytically derived using the next generation matrix method. The two expressions composed of a combination of two terms related to human to human and environment to human transmissions. The value of R0 has been calculated using estimated parameters corresponding to two datasets. Sensitivity analysis of the reproduction number to the corresponding model parameters has been carried out. Existence and stability analysis of disease free and endemic equilibrium points have been presented in relation with the obtained expressions of R0. Numerical simulations to demonstrate the effect of some model parameters related to environmental transmission on the disease transmission dynamics have been carried out and the results have been demonstrated graphically.","PeriodicalId":419245,"journal":{"name":"NOVEL TRENDS IN RHEOLOGY IX","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126484455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Gost R 34.12-2015 (Kuznechik) analysis of a cryptographic algorithm","authors":"A. Kabulov, Mansur Berdimurodov","doi":"10.1063/5.0145975","DOIUrl":"https://doi.org/10.1063/5.0145975","url":null,"abstract":"","PeriodicalId":419245,"journal":{"name":"NOVEL TRENDS IN RHEOLOGY IX","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125137063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
B. Babajanov, D. Atajonov, Odilbek R. Allaberganov
{"title":"On the integration of the periodic Camassa-Holm equation with a loaded term","authors":"B. Babajanov, D. Atajonov, Odilbek R. Allaberganov","doi":"10.1063/5.0144747","DOIUrl":"https://doi.org/10.1063/5.0144747","url":null,"abstract":"","PeriodicalId":419245,"journal":{"name":"NOVEL TRENDS IN RHEOLOGY IX","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115024485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Khunanya Janchai, Takumitsu Kida, Takahiro Inoue, Shohei Iwasaki, M. Yamaguchi
{"title":"Role of nucleating agent on molecular orientation of polypropylene crystallized under flow field","authors":"Khunanya Janchai, Takumitsu Kida, Takahiro Inoue, Shohei Iwasaki, M. Yamaguchi","doi":"10.1063/5.0159525","DOIUrl":"https://doi.org/10.1063/5.0159525","url":null,"abstract":"","PeriodicalId":419245,"journal":{"name":"NOVEL TRENDS IN RHEOLOGY IX","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115999072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A numerical algorithm for the third order delay partial differential equation with involution and Neumann boundary condition","authors":"A. Ashyralyev, S. Ibrahim","doi":"10.1063/5.0145923","DOIUrl":"https://doi.org/10.1063/5.0145923","url":null,"abstract":"","PeriodicalId":419245,"journal":{"name":"NOVEL TRENDS IN RHEOLOGY IX","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116394651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modified Korteweg-de Vries equation with a self-consistent source","authors":"M. Khasanov","doi":"10.1063/5.0145265","DOIUrl":"https://doi.org/10.1063/5.0145265","url":null,"abstract":"","PeriodicalId":419245,"journal":{"name":"NOVEL TRENDS IN RHEOLOGY IX","volume":"324 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122989113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Characteristic problem for the Boussinesq-Love equation with singular coefficients","authors":"S. Karimov, Sh. A. Oripov","doi":"10.1063/5.0144855","DOIUrl":"https://doi.org/10.1063/5.0144855","url":null,"abstract":"","PeriodicalId":419245,"journal":{"name":"NOVEL TRENDS IN RHEOLOGY IX","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121847275","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hardware accelerators for solving computationally intensive problems over binary vectors and matrices","authors":"V. Sklyarov, I. Skliarova, A. Kabulov","doi":"10.1063/5.0145125","DOIUrl":"https://doi.org/10.1063/5.0145125","url":null,"abstract":"","PeriodicalId":419245,"journal":{"name":"NOVEL TRENDS IN RHEOLOGY IX","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121857543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimal formulas for approximate integration in the Sobolev factor space","authors":"K. Shadimetov, F. Nuraliev, Shukurillo Ulikov","doi":"10.1063/5.0144761","DOIUrl":"https://doi.org/10.1063/5.0144761","url":null,"abstract":"","PeriodicalId":419245,"journal":{"name":"NOVEL TRENDS IN RHEOLOGY IX","volume":"91 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131841694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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