In this paper nonlinear monotonicity and boundedness properties are analyzed for linear multistep methods. We focus on methods which satisfy a weaker boundedness condition than strict monotonicity for arbitrary starting values. In this way, many linear multistep methods of practical interest are included in the theory. Moreover, it will be shown that for such methods monotonicity can still be v...

In this paper, a fractional order HIV/AIDS (FOHA) epidemic model with treatment is investigated. The first step in the proposed procedure is represent the FOHA system as an equivalent system of ordinary differential equations. In the second step, we solved the system obtained in the first step by using the well known fourth order Runge-Kutta method. Numerical simulations are also presented to v...