Minimal wave speed and spread speed in a system modelling the geographic spread of black-legged tick Ixodes scapularis

DOI10.1016/j.jde.2020.05.002zbMath1442.35475OpenAlexW3033297295MaRDI QIDQ2189772

Xiulan Lai, Xingfu Zou

Publication date: 16 June 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.05.002

zbMATH Keywords

minimal wave speedupper-lower solutionstraveling wave frontspatial invasionspread speedtick Ixodes scapularis

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Traveling wave solutions (35C07)

Related Items (1)

Exponential stability of traveling wavefronts for a system modeling the geographic spread of black-legged tick \textit{Ixodes scapularis}

Cites Work

• Monotone wavefronts for partially degenerate reaction-diffusion systems
• Spatial dynamics of a nonlocal and time-delayed reaction-diffusion system
• Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis: analysis of a spatially nonlocal model
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Traveling Waves for Monotone Semiflows with Weak Compactness
• A non-local delayed and diffusive predator-prey model.

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