title: Comment on "Transmission Model of Hepatitis B Virus with Migration Effect".
abstract: We show the erroneous assumptions and reasoning by introducing the migration effect of individuals in the transmission model of Hepatitis B virus. First, some false results related to the eigenvalues and reproductive number in the recent literature in mathematical biology will be presented. Then, it will be proved that the product of the matrices in the next generation method to obtain the reproductive number R 0 is not correct and the local and global stability results based on the reproductive number R 0 are considered false.
authors.affiliation: Department of Mathematics, COMSATS Institute of Information Technology Abbottabad, Khyber Pakhtunkhwa 22060, Pakistan.
authors.forename: Anwar
authors.initials: A
authors.lastname: Zeb
authors.affiliation: Department of Mathematics, University of Malakand Chakdara, Dir(L), Khyber Pakhtunkhwa 18800, Pakistan.
authors.forename: Gul
authors.initials: G
authors.lastname: Zaman
mesh_terms: D006509:Hepatitis B / Q000453:epidemiology* / Q000635:transmission*; D006515:Hepatitis B virus / Q000502:physiology*; D063426:Human Migration; D006801:Humans