id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-138	Hao, Yu-Cai; Zhang, Guo-Bao	Stability of bistable traveling wavefronts for a nonlocal dispersal epidemic system	2022	21	.pdf	application/pdf	9106	544	88	By Lemma 3.1 and the comparison principle, one has max { φi(η −(x, t))− δpie−β0t, 0 } ≤ ui(x, t;ϕi) ≤ min { φi(η +(x, t)) + δpie −β0t, ki } , i = 1, 2, (3.4) where x ∈ R, t ≥ 0, and η±(x, t) : Hence, combining with (3.3) and (3.4), we obtain φi(x+ ct)− ε 2 ≤ ui(x, t;ϕi) ≤ φi(x+ ct) + ε 2 , ∀x ∈ R, t ≥ 0, i = 1, 2, which implies that ‖u(·, t;ϕ)− φ(·+ ct)‖ < ε, ∀t ≥ 0.	cache/ejde-138.pdf	txt/ejde-138.txt