期刊
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
卷 33, 期 5, 页码 1420-1458出版社
WILEY
DOI: 10.1002/num.22139
关键词
convergence; second order finite difference approximation; susceptible-infected structured epidemic model
资金
- National Science Foundation [DMS-1312963]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1312963] Funding Source: National Science Foundation
We develop a general model describing a structured susceptible-infected (SI) population coupled with the environment. This model applies to problems arising in ecology, epidemiology, and cell biology. The model consists of a system of quasilinear hyperbolic partial differential equations coupled with a system of nonlinear ordinary differential equations that represents the environment. We develop a second-order high resolution finite difference scheme to numerically solve the model. Convergence of this scheme to a weak solution with bounded total variation is proved. Numerical simulations are provided to demonstrate the high-resolution property of the scheme and an application to a multi-host wildlife disease model is explored.(c) 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1420-1458, 2017
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据