On existence of semi-wavefronts for a non-local reaction-diffusion\n equations with distributed time delay

2015/10/01 by Maitere Aguerrea, Carlos M. Meléndez Gómez, Aguerrea, Maitere +2
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Analysis of PDEs (math.AP) #Evolution and Genetic Dynamics #FOS: Mathematics #G.1.6 #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1510.00303

openalex publication_date 2015/10/01 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28

Abstract

We establish the existence of semi-wavefronts solutions for a non-local\ndelayed reaction-diffusion equation with monostable nonlinearity. The existence\nresult is proved for all speeds c\≥ c_\⋆, where the determination of\nc_\⋆ is similar to the calculation of the minimal speed of propagation.\nThe results are applied to some non-local reaction-diffusion epidemic and\npopulation models with distributed time delay.\n

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