Abstract
A fractional-order HTLV type -1 model with transmission from an infected cell to uninfected cell and also through mitosis is constructed and investigated. The requirements for the existence of equilibrium points are established. We have generalized the integer theorem introduced by LaSalle into the fractional system and given some adequate requirements for the infection-free equilibrium plus chronic equilibrium being globally asymptotically stable. We employed a numerical technique established for changing the fractional-order derivative to the integer-order derivative to work out the HTLV type- 1 model. Numerical simulations are given to illustrate our results. The fractional-order derivatives are defined using the Caputo definition.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Advances in Scientific Research and Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
