2020/04/21 by Haifa Ben Fredj, Fredj, Haifa Ben, Farouk Chérif +1
Mathematics · Medicine · #COVID-19 epidemiological studies #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE)
paper · pdf · doi:10.48550/arxiv.2004.10321
openalex publication_date 2020/04/21 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
In this paper, we propose a new model for the dynamics of COVID-19\ninfections. Our approach consists of seven phenotypes: the susceptible humans,\nexposed humans, infectious humans, the recovered humans, the quarantine\npopulation, the recovered-exposed and deceased population. We proved first\nthrough mathematical approach the positivity, boundness and existence of a\nsolution to considered model. We also studied the existence of the disease free\nequilibrium and corresp onding stability. Hence, the actual reproduction number\nwas calculated . We analyzed the dependence of basic reproductions R0 on the\nconfidence of our model. Our work shows, in particular, that the disease will\ndecrease out if the number of reproduction was less than one. Moreover, the\nimpact of the quarantine strategies to reduce the spread of this disease is\ndiscussed. The theoretical results are validated by some numerical simulations\nof the system of the epidemic's differential equations.\n