Title
Analysis of A Spatially Inhomogeneous Stochastic Partial Differential Equation Epidemic Model
Abstract
This work proposes and analyzes a family of spatially inhomogeneous epidemic models. This is our first effort to use stochastic partial differential equations (SPDEs) to model epidemic dynamics with spatial variations and environmental noise. After setting up the problem, the existence and uniqueness of solutions of the underlying SPDEs are examined. Then, definitions of permanence and extinction are given, and certain sufficient conditions are provided for permanence and extinction. Our hope is that this paper will open up windows for investigation of epidemic models from a new angle.
Year
DOI
Venue
2020
10.1017/jpr.2020.15
JOURNAL OF APPLIED PROBABILITY
Keywords
DocType
Volume
SIR model,SPDE,mild solution,positivity,extinction,permanence
Journal
57
Issue
ISSN
Citations 
2
0021-9002
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Nguyen Dang H100.34
Nguyen Nhu N200.34
Yin George300.34