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Diverse Tc1/mariner elements with the DD37E signature have been detected. However, their evolutionary relationship and profiles are largely unknown. Using bioinformatics methods, we defined the evolution profile of a Tc1/Mariner family, which harbors the catalytic domain with the DD37E signature, and renamed it DD37E/Mosquito (MS). MS transposons form a separate monophyletic clade in the phylogenetic tree, distinct from the other two groups of elements with the DD37E signature, DD37E/L18 and DD37E/TRT (transposon related to Tc1), and represent a very different taxonomic distribution from that of DD37E/TRT. MS is only detected in invertebrate and is mostly present in Arthropoda, as well as in Cnidaria, Ctenophora, Mollusca, Nematoda, and Platyhelminthes, with a total length of about 1.3 kb, containing an open reading frame (ORF) encoding about 340 amino acids transposases, with a conserved DD37E catalytic domain. The terminal inverted repeat (TIR) lengths range from 19 bp to 203 bp, and the target site duplication (TSD) is TA. We also identified few occurrences of MS horizontal transfers (HT) across lineages of diptera. In this paper, the distribution characteristics, structural characteristics, phylogenetic evolution, and horizontal transfer of the MS family are fully analyzed, which is conducive to supplementing and improving the Tc1/Mariner superfamily and excavating active transposons. [ABSTRACT FROM AUTHOR]

A mathematical model revealing the transmission mechanism of COVID-19 is produced and theoretically examined, which has helped us address the disease dynamics and treatment measures, such as vaccination for susceptible patients. The mathematical model containing the whole population was partitioned into six different compartments, represented by the SVEIQR model. Important properties of the model, such as the nonnegativity of solutions and their boundedness, are established. Furthermore, we calculated the basic reproduction number, which is an important parameter in infection models. The disease-free equilibrium solution of the model was determined to be locally and globally asymptotically stable. When the basic reproduction number R 0 is less than one, the disease-free equilibrium point is locally asymptotically stable. To discover the approximative solution to the model, a general numerical approach based on the Haar collocation technique was developed. Using some real data, the sensitivity analysis of R 0 was shown. We simulated the approximate results for various values of the quarantine and vaccination populations using Matlab to show the transmission dynamics of the Coronavirus-19 disease through graphs. The validation of the results by the Simulink software and numerical methods shows that our model and adopted methodology are appropriate and accurate and could be used for further predictions for COVID-19. [ABSTRACT FROM AUTHOR]