Spatial and Temporal Dynamics of a Viral Infection Model with Two Nonlocal Effects

Xiaoyan Wang, Yuming Chen and Junyuan Yang

Complexity, 2019, vol. 2019, 1-20

Abstract:

We propose and study a viral infection model with two nonlocal effects and a general incidence rate. First, the semigroup theory and the classical renewal process are adopted to compute the basic reproduction number as the spectral radius of the next-generation operator. It is shown that equals the principal eigenvalue of a linear operator associated with a positive eigenfunction. Then we obtain the existence of endemic steady states by Shauder fixed point theorem. A threshold dynamics is established by the approach of Lyapunov functionals. Roughly speaking, if , then the virus-free steady state is globally asymptotically stable; if , then the endemic steady state is globally attractive under some additional conditions on the incidence rate. Finally, the theoretical results are illustrated by numerical simulations based on a backward Euler method.

Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/8503/2019/5842942.pdf (application/pdf)
http://downloads.hindawi.com/journals/8503/2019/5842942.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:5842942

DOI: 10.1155/2019/5842942

Access Statistics for this article

More articles in Complexity from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().