Analysis and Simulation of a Fractional Order Optimal Control Model for HBV

Stability analysis of a fractional-order HBV infection model

In this paper, we introduce a fractional-order HBV infection model. We show the existence of non-negative solutions of the model, and also give a detailed stability analysis of the disease-free and endemic equilibria. Numerical simulations are presented to illustrate the results. MSC: 92B05 • 26A33

Stability Analysis and Optimal Control of a Fractional Order Model for HIV Infection

Abstract: In this article, a mathematical model of HIV infection is developed using fractional-order differential equation consisting uninfected CD4+T cells, infected CD4+T cells and CTL effectors (i.e. immune response cells). The fractional order model possesses non-negative solutions. The system has three equilibria: infectionfree equilibrium, infected equilibrium and CTL equilibrium. Stabili...

the innovation of a statistical model to estimate dependable rainfall (dr) and develop it for determination and classification of drought and wet years of iran

آب حاصل از بارش منبع تأمین نیازهای بی شمار جانداران به ویژه انسان است و هرگونه کاهش در کم و کیف آن مستقیماً حیات موجودات زنده را تحت تأثیر منفی قرار می دهد. نوسان سال به سال بارش از ویژگی های اساسی و بسیار مهم بارش های سالانه ایران محسوب می شود که آثار زیان بار آن در تمام عرصه های اقتصادی، اجتماعی و حتی سیاسی- امنیتی به نحوی منعکس می شود. چون میزان آب ناشی از بارش یکی از مولفه های اصلی برنامه ...

Stability Analysis of a Fractional Order Model of HIV virus and AIDS Infection in the Community

In  this  paper a  non-linear  model  with  fractional  order  is  presented  for  analyzing  and  controlling the  spread  of  HIV virus.  Both  the  disease-free  equilibrium and the endemic equilibrium are  found  and  their  stability is  discussed. The basic reproduction number , which is a function of the constant parameters in the model, plays an essential  role in the stability of  the ...

Quantitative Determination Of Optimal Fiscal And Monetary Policies: A Stochastic Optimal Control Analysis For Iran