Global stability and periodic solution of a model for HTLV-I infection and ATL progression
X Song, Y Li - Applied mathematics and computation, 2006 - Elsevier
… 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. …
for HTLV-I infection … equilibrium is globally stable in the interior of the feasible region. …
Global stability of a delayed HTLV-I infection model with a class of nonlinear incidence rates and CTLs immune response
Y Muroya, Y Enatsu, H Li - Applied Mathematics and Computation, 2013 - Elsevier
… 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 …
of the endemic equilibrium. Because we consider that the obtained result on the global stability …
Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression
… 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 …
and is globally stable in the interior of the feasible region, and HTLV-I infection becomes …
Stability analysis of fuzzy HTLV-I infection model: a dynamic approach
S Bera, S Khajanchi, TK Roy - Journal of Applied Mathematics and …, 2023 - Springer
… 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-…
we performed global stability … forecasting the development of HTLV-I infection in the long-…
[HTML][HTML] Global dynamics of a mathematical model for HTLV-I infection of CD4+ T-cells
L Cai, X Li, M Ghosh - Applied mathematical modelling, 2011 - Elsevier
… 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 . …
globally stable in … At last, we consider the global stability of the infection-free equilibrium E 0 . …
Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes
S Khajanchi, S Bera, TK Roy - Mathematics and Computers in Simulation, 2021 - Elsevier
… 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 …
for the global stability for all the feasible equilibrium points. We perform the global stability for …
Global dynamics of a mathematical model for HTLV-I infection of CD4+ T cells with delayed CTL response
… 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 ] …
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 ] …
The complete classification for global dynamics of a model for the persistence of HTLV-I infection
C Vargas-De-León - Applied Mathematics and Computation, 2014 - Elsevier
… 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 …
infected equilibrium when σ β k > … of Γ , the infected equilibrium, E ∗ is the global minimum of L …
[PDF][PDF] Global dynamics of a mathematical model for HTLV-I infection of T cells
H Gomez-Acevedo, MY Li - Canad. Appl. Math. Quart, 2002 - ualberta.ca
… 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 …
> 1, HTLV-I infection becomes chronic, and a unique endemic equilibrium is globally stable in …
[PDF][PDF] Global dynamics of a HTLV-I infection model with CTL response
X Sun, J Wei - Electronic Journal of Qualitative Theory of Differential …, 2013 - real.mtak.hu
… 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 …
1 < R0 are discussed. The stability of equilibrium P2 is investigated in Section 5. Numerical …
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