id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-427	Sun, Zhongyuan; Wang, Jinfeng	Dynamics and pattern formation in diffusive predator-prey models with predator-taxis	2020	14	.pdf	application/pdf	6106	305	73	A reaction diffusion model with stage structure for the predator was proposed in [8], ∂u ∂t − d∆u = bv −mu, x ∈ Ω, t > 0, ∂v ∂t − d∆v = ruw − v, x ∈ Ω, t > 0, ∂w ∂t − d1∆w = (a− w)w − εvw − uw, x ∈ Ω, t > 0, ∂u ∂ν = ∂v ∂ν = ∂w ∂ν = 0, x ∈ ∂Ω, u(x, 0) ≥ 0, v(x, 0) ≥ 0, w(x, 0) ≥ 0, x ∈ Ω, (1.1) where u(x, t), v(x, t) and w(x, t) represent the densities of mature predator, im- mature predator and prey respectively at position x and time t; Ω is a bounded domain in RN , N ≥ 1 with smooth boundary ∂Ω and unit outer normal ν; the ho- mogeneous Neumann boundary condition indicates that the predator-prey system is self-contained with zero population flux across the boundary. Predators are assumed to move randomly in their habitats, and prey mobiles to avoid the mature predators.	cache/ejde-427.pdf	txt/ejde-427.txt