2020/01/17 by Chengcheng Cheng, Cheng, Chengcheng, Zuohuan Zheng +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Analysis of PDEs (math.AP) #COVID-19 epidemiological studies #Dynamical Systems (math.DS) #Evolution and Genetic Dynamics #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models
paper · pdf · doi:10.48550/arxiv.2001.06223
openalex publication_date 2020/01/17 · openalex created_date 2020/01/23 · openalex updated_date 2026/07/28
This paper aims to explore the temporal-spatial spreading and asymptotic behaviors of West Nile virus by a reaction-advection-diffusion system with free boundaries, especially considering the impact of advection term on the extinction and persistence of West Nile virus. We define the spatial-temporal risk index RF0(t) with the advection rate and the general basic disease reproduction number RD0 to get the vanishing-spreading dichotomy regimes of West Nile virus. We show that there exists a threshold value μ* of the advection rate, and obtain the threshold results of it. When the spreading occurs, we investigate the asymptotic dynamical behaviors of the solution in the long run and first give a sharper estimate that the asymptotic spreading speed of the leftward front is less than the rightward front for 0