A numerical method for a diffusive virus model with general incidence function, cell-to-cell transmission and time delay

Hongquan Sun and Jin Li

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: In this paper, we propose a numerical method for a diffusive virus dynamics model with general incidence function, cell-to-cell transmission and time delay. We justify the wellposedness of the numerical model, and prove that the proposed method preserves the global stability of equilibria by constructing suitable discrete Lyapunov functionals with no constraints on the time and space step sizes. we perform numerical simulation to verify our theoretic results. Epidemiologically, we deduce that the spatial heterogeneity of transmission rate can enlarge the risk of disease outbreaks, and the larger time delay is conductive to cure diseases.

Keywords: Virus dynamics model; Cell-to-cell transmission; Time delay; Diffusion; Global stability (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119319417
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:eee:phsmap:v:545:y:2020:i:c:s0378437119319417

DOI: 10.1016/j.physa.2019.123477

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().