id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-3490	M.Sridevi	Stability and Hopf Bifurcation Analysis of Tumors with Immature and Mature Lymphocytes	2025	14	.pdf	application/pdf	6198	278	71	x dt    − − = − + + − = − + = − (2) with initial condition 1 1 2 2 3 3( ) , ( ) , ( )x x x     = = = (2.1) with 0j   1, 2,3j = for  ,0  − , where   3 2( ) ; (0) , 0 & 0X t X t X t b b c=   −  . From the equation (15) ( ) * ** 1 2 31 1 2 0* * 2* 3 32 * * 1 3 0 2 2 2 2 2 0* 3 0 sin( ) 1 (1 ) cos( ) 1 b x xb c b x x xb x b x b c b x c x        − +  + +  + − + − + − + (18) Using (15) in (18) ( )   ( )( ) ( ) ( ) * ** 1 2 31 1 2 * * * * * * 2* 1 2 3 1 3 1 3 3 31 1 2 2 0 0 0* * 2 * * 3 3 3 3 0 * * * * 1 3 1 2 2 2 2 2 2 2 2 2 2 * 3 1 (1 ) 1 cos( ) 1 sin( ) 1 (1 ) 1 1 1 1 1 b x xb c b x b x x b x b x x xb c b x b c x x x x b x b b c b x b c b x c b c b x b c x         − +     + +−   + − + − − + −     + + + +          + − + − + − − − + + − − + * ** * 21 2 31 2 2 0* * 2 3 31 (1 ) b x xc b	cache/cana-3490.pdf	txt/cana-3490.txt