id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-682	Hua, Yang; Lin, Xiaojie; Liu, Jiang; Lu, Haixia	Dynamics of traveling waves for predator-prey systems with Allee effect and time delay	2024	19	.pdf	application/pdf	7741	385	74	Comparing the coefficients of ε and ε2, one has f1 = 0, f2 = 2UV α+ U + βV − 2(σU − σU2 − η)U, h1 = 0, h2 = cX − (σU − σU2 − η)U + UV α+ U + βV , g1 = X, g2 = 0, r1 = 0, r2 = 0. Furthermore, under certain conditions, see [7] for more details, the system (2.3) admits the fourth equilibrium P∗(u∗, v∗, 0, 0), where u∗ is a positive root of the cubic equation σγβu3 − σγβu2 + (γβη + γ − 1)u− α = 0, (2.4) and v∗ = γu∗ − u∗ − α β > 0.	cache/ejde-682.pdf	txt/ejde-682.txt