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In this study the infected population is classified into two categories viz., chronic and acute and thus developed a five compartmental SEI C I A R model. Also, both vaccination and treatments are included and studied their impact on the spread of hepatitis B virus. The present model is biologically meaningful and mathematically well posed since the solutions are proved to be positive as well as bounded. The basic reproduction number R O of the model is derived using the next generation matrixdoi:10.11648/j.ajam.20190701.13 fatcat:6owiudpjrzaxbkg5sc5unk2pcu