Extinction in a Feline Panleukopenia virus model incorporating direct and indirect transmissions

Yongli Cai, Yuan Yuan, Xinze Lian and Weiming Wang

Applied Mathematics and Computation, 2015, vol. 258, issue C, 358-366

Abstract: In this paper, we investigate the disease dynamics of a reaction–diffusion Feline Panleukopenia virus model incorporating direct and indirect transmissions as well as spatially environmental heterogeneity. We derive a basic reproduction number and show that the disease-free equilibrium will be locally stable if the basic reproduction number is below one, which means that the disease will be extinct. Furthermore, we perform some numerical simulations to explore the impact of the heterogeneous environment on the disease dynamics.

Keywords: Heterogeneity; Direct and indirect transmissions; Basic reproduction number; Disease-free dynamics (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315000351
Full text for ScienceDirect subscribers only

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:apmaco:v:258:y:2015:i:c:p:358-366

DOI: 10.1016/j.amc.2015.01.021

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().