id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6670	Khan, Tahir; Jung, II Hyo ; Zaman, Gul ; Khan, Ilyas	Numerical Assessment of the Hepatitis B Virus Transmission Model Using a Non-standard Finite Difference Scheme and a Feedforward Neural Network	2025	22	.pdf	application/pdf	7554	354	61	− s2∥+M2∥a1 − a2∥+M3∥c1 − c2∥+ π∥v1 − v2∥. Let M = max{M1,M2,M3, π}, the last inequality can be re-written as ∥f1(y1)− f1(y2)∥ ≤ M ( ∥s1− s2∥+ ∥a1− a2∥+ ∥c1− c2∥+ ∥v1− v2∥ ) λ2∥c1 − c2∥+ µ0∥r1 − r2∥ ≤ Q∥y1	cache/ejpam-6670.pdf	txt/ejpam-6670.txt