Wave propagation in a infectious disease model with non-local diffusion
Autor: | Yueling Cheng, Dianchen Lu |
---|---|
Jazyk: | angličtina |
Rok vydání: | 2019 |
Předmět: | |
Zdroj: | Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-29 (2019) |
Druh dokumentu: | article |
ISSN: | 1687-1847 03640795 |
DOI: | 10.1186/s13662-019-2057-9 |
Popis: | Abstract In this paper, we propose a nonlocal diffusion infectious disease model with nonlinear incidences and distributed delay to model the transmission of the epidemic. By a fixed point theorem and a limiting argument, we establish the existence of traveling wave solutions for the model. Meanwhile, we obtain the non-existence of traveling wave solutions for the model via two-sided Laplace transform. It is found that the threshold dynamics of traveling wave solutions are entirely determined by the basic reproduction number of the corresponding spatially-homogenous delayed differential system and the minimum wave speed. A typical example is given for supporting our abstract results. Moreover, the effect of the diffusive rate of the infected individuals on the minimum wave speed is discussed. |
Databáze: | Directory of Open Access Journals |
Externí odkaz: | |
Nepřihlášeným uživatelům se plný text nezobrazuje | K zobrazení výsledku je třeba se přihlásit. |