id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-4541	Mampi Saha	On Fractional Epidemic Model Order Shigella	2025	9	.pdf	application/pdf	2990	123	58	Model Derivation : 𝑑𝑆 𝑑𝑡 = Λ − 𝛾1𝑆 − 𝛾2𝑆 − 𝑑𝑆 𝑑𝑉 𝑑𝑡 = 𝛾2𝑆 + 𝜏2𝐼 − 𝑑𝑉 𝑑𝐸 𝑑𝑡 = 𝛾1𝑆 − 𝛿1𝐸 − 𝛿2𝐸 − 𝑑𝐸 𝑑𝐼 𝑑𝑡 = 𝛿1𝐸 − 𝜏1𝐼 − 𝜏2𝐼 − 𝜏3𝐼 − 𝑑𝐼 𝑑𝐺 𝑑𝑡 = 𝛿2𝐸 + 𝜏3𝐼 − 𝜁1𝐺 − 𝜁2𝐺 − 𝑑𝐺 𝑑𝐻 𝑑𝑡 = 𝜏1𝐼 + 𝜁1𝐺 − 𝜉𝐻 − 𝑑𝐻 𝑑𝑅 𝑑𝑡 = 𝜉𝐻 + 𝜁2𝐺 − 𝑑𝑅 } …. (1) 𝑉 𝑑𝑉 𝑑𝐻 𝐸 𝛾1𝑆 𝐼 𝐻 𝑅 𝐺 Λ 𝑆 𝑑𝐸 𝑑𝐼 𝑑𝑆 𝑑𝐺 𝑑𝑅 𝛿1𝐸 𝛿2𝐸 𝜏1𝐼 𝜏3𝐼 𝜁1𝐺 𝜁2𝐺 𝜉𝐻 𝜏2𝐼 𝛾2𝑆 Communications on Applied Nonlinear Analysis ISSN: 1074-133X Vol 32 𝑅𝑚+1 𝑞 = 𝑅0 + 1 𝛤(𝛽) ∑𝑐𝑖,𝑚+1 𝑚 𝑖=0 (𝜉𝐻𝑖 + 𝜁2𝐺𝑖 − 𝑑𝑅𝑖) } (10) 𝑏𝑖,𝑚+1 = { 𝑛𝛽 − (𝑚 − 𝛽)(𝑚 + 1), 𝑖 = 0 (𝑛 − 𝑖 + 2)𝛽+1 + (𝑛 − 𝑖)𝛽+1, 1 ≤ 𝑖 ≤ 𝑚 −2(𝑛 − 𝑖 + 2)𝛽+1, 𝑖 = 𝑚 + 1 𝑐𝑖,𝑚+1 = 𝑘𝛽 𝛽 ((𝑛 − 𝑖 + 2)𝛽 + (𝑛 − 𝑖)𝛽), 1 ≤ 𝑖 ≤ 𝑚 } (11) 5.	cache/cana-4541.pdf	txt/cana-4541.txt
