id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-21	Zhao, Zhihong; Hu, Huanqin	Boundedness, stability and pattern formation for a predator-prey model with Sigmoid functional response and prey-taxis	2023	20	.pdf	application/pdf	8591	442	71	(3.13) Multiplying the equations of system (3.9) by cos 2iπx l and then integrating them over 0 to l, once again combining K1 = 0 yields∫ 1 0 Φ1 cos 2iπx l dx = E1 E0 , ∫ 1 0 Ψ1 cos 2iπx l dx = E2 E0 , (3.14) where E0 = f1g2 − f2g1 − 4i2π2(ξiχ(v∗)f2 + g2d1 + f1d2) l2 + 16i4π4d1d2 l4 , E1 = π2i2(ξibiχ(v∗)f2 + 2M1d2) 2l + (M2f2 −M1g2)l 4 , E2 = π2i2(2ξiχ(v∗)M1 − ξibiχ(v∗)f1 + 2M2d1) 2l + 2π4i4ξibiχ(v∗)d1 l3 + (M1g1 −M2f1)l 4 , obviously, E0 is always nonzero by ξi 6= = (u∗ + 0.05 cosx, v∗ + 0.05 cosx) and fix ξ = −30, which is obviously far away from the critical bifurcation value.	cache/ejde-21.pdf	txt/ejde-21.txt