… By stability analysis we obtained the condition for the infected T cells die out and the condition
for HTLV-I infection … equilibrium is globally stable in the interior of the feasible region. …

… The authors investigated global stability of a viral-free equilibrium and a no… global stability
of the endemic equilibrium. Because we consider that the obtained result on the global stability …

… If R 0 >1, then the infection-free steady-state loses its stability, and a unique endemic steady-…
and is globally stable in the interior of the feasible region, and HTLV-I infection becomes …

… infection and for cytotoxic-T-lymphocytes response, respectively. By using geometric approach,
we performed global stability … forecasting the development of HTLV-I infection in the long-…

… the infection-free equilibrium is globally stable; if R 0 > 1 , the unique infected equilibrium is
globally stable in … At last, we consider the global stability of the infection-free equilibrium E 0 . …

… To study the global stability is not only mathematically important, but also essential in …
for the global stability for all the feasible equilibrium points. We perform the global stability for …

… To prove global stability of P 0 , we consider a Lyapunov functional L : R × C × C → R given
by (8) L ( x ( t ) , y t , z t ) = y t ( 0 ) . Here y t ( s ) = y ( t + s ) , z t ( s ) = z ( t + s ) for s ∈ [ − τ , 0 ] …

… Second, we will analyze the global stability of the equilibria … To prove the global stability of
infected equilibrium when σ β k > … of Γ , the infected equilibrium, E ∗ is the global minimum of L …

… We consider a compartmental model for the transmission dynamics of the HTLV-I infection. …
> 1, HTLV-I infection becomes chronic, and a unique endemic equilibrium is globally stable in …

… In Section 3 and 4, global stability of P0 when R0 < 1 and global stability of P1 when R1 <
1 < R0 are discussed. The stability of equilibrium P2 is investigated in Section 5. Numerical …