Traveling waves in epidemic models: non-monotone diffusive systems with non-monotone incidence rates

DOI10.1007/s10884-018-9683-xzbMath1415.92194OpenAlexW2810566145WikidataQ129649542 ScholiaQ129649542MaRDI QIDQ2419936

Xiang-Sheng Wang, Jianhong Wu, Xuejun Pan, Hongying Shu

Publication date: 4 June 2019

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

Full work available at URL: https://doi.org/10.1007/s10884-018-9683-x

zbMATH Keywords

traveling wavesSchauder fixed point theoremnon-monotonicitydiffusive epidemic models

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Traveling wave solutions (35C07)

Related Items (9)

Traveling wave solution with the critical speed for a diffusive epidemic system with spatio-temporal delay ⋮ Propagation dynamics in a diffusive SIQR model for childhood diseases ⋮ Traveling waves of nonlocal delayed disease models: critical wave speed and propagation speed ⋮ Spreading speed and traveling wave solutions of a reaction-diffusion Zika model with constant recruitment ⋮ Traveling waves of a diffusive SIR epidemic model with general nonlinear incidence and infinitely distributed latency but without demography ⋮ Traveling waves in a nonlocal dispersal SIR model with non-monotone incidence ⋮ Spreading speeds of rabies with territorial and diffusing rabid foxes ⋮ Traveling wave solutions for a class of discrete diffusive SIR epidemic model ⋮ Propagation dynamics for a time-periodic reaction-diffusion SI epidemic model with periodic recruitment

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