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The model can be used to monitor the timely progression of healthy immune cells with the effects of the levels of vitamin D and probiotics supplement. It also can help to predict when the infected cells and virus particles free state can ever be reached as time progresses. The consideration of the time delay in the modeling due to effects of the infected cells or virus particles and the growth of healthy cells is also an important factor that can significantly change the outcomes of the body's immune cells as well as the infections.&lt;\/p&gt; &lt;\/abstract&gt;<\/jats:p>","DOI":"10.3934\/mbe.2022417","type":"journal-article","created":{"date-parts":[[2022,6,21]],"date-time":"2022-06-21T10:53:35Z","timestamp":1655808815000},"page":"8975-9004","source":"Crossref","is-referenced-by-count":3,"title":["Analyzing the relationship between the vitamin D deficiency and COVID-19 mortality rate and modeling the time-delay interactions between body's immune healthy cells, infected cells, and virus particles with the effect of vitamin D levels"],"prefix":"10.3934","volume":"19","author":[{"given":"Hoang","family":"Pham","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/mbe.2022417-1","unstructured":"Available online: <a href=\"https:\/\/patch.com\/new-jersey\/oceancity\/nj-coronavirus-update-gov-murphy-considers-curfew-31-new-cases\" target=\"_blank\">https:\/\/patch.com\/new-jersey\/oceancity\/nj-coronavirus-update-gov-murphy-considers-curfew-31-new-cases<\/a> (accessed on16 March 2020)<b>.<\/b>"},{"key":"key-10.3934\/mbe.2022417-2","unstructured":"Available online: <a href=\"https:\/\/www.osha.gov\/SLTC\/covid-19\/medicalinformation.html\" target=\"_blank\">https:\/\/www.osha.gov\/SLTC\/covid-19\/medicalinformation.html<\/a> (accessed on.17 March 2020)<b>.<\/b>"},{"key":"key-10.3934\/mbe.2022417-3","unstructured":"Centers for Disease Control and Prevention, <a href=\"https:\/\/www.cdc.gov\/coronavirus\/2019-ncov\/prevent-getting-sick\/social-distancing.html\" target=\"_blank\">https:\/\/www.cdc.gov\/coronavirus\/2019-ncov\/prevent-getting-sick\/social-distancing.html<\/a> (accessed on 8 April 2020)"},{"key":"key-10.3934\/mbe.2022417-4","doi-asserted-by":"publisher","unstructured":"H. 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