Analysis and control of an SEIR epidemic system with nonlinear transmission rate [0.03%]
具有非线性传播率的SEIR流行病系统的分析与控制
Na Yi,Qingling Zhang,Kun Mao et al.
Na Yi et al.
In this paper, the dynamical behaviors of an SEIR epidemic system governed by differential and algebraic equations with seasonal forcing in transmission rate are studied. The cases of only one varying parameter, two varying parameters and t...
Periodic solutions and bifurcation in an [Formula: see text] epidemic model with birth pulses [0.03%]
一类具有脉冲出生率的SIS传染病模型的周期解与分支分析
Guirong Jiang,Qigui Yang
Guirong Jiang
The dynamical behavior of an S I S epidemic model with birth pulses and a varying population is discussed analytically and numerically. This paper investigates the existence and stability of the infection-free periodic solution and the ende...
Optimal and sub-optimal quarantine and isolation control in SARS epidemics [0.03%]
SARS流行中优化和亚优化的隔离和检疫控制措施研究
Xiefei Yan,Yun Zou
Xiefei Yan
This paper discusses the application of optimal and sub-optimal controls to a SEQIJR SARS model via the Pontryagin's Maximum Principle. To this end, two control variables representing the quarantine and isolation strategies are considered i...
A discrete epidemic model for SARS transmission and control in China [0.03%]
传染性疾病的传播与控制的流行病数学模型研究——以SARS为例
Yicang Zhou,Zhien Ma,F Brauer
Yicang Zhou
Severe acute respiratory syndrome (SARS) is a rapidly spreading infectious disease which was transmitted in late 2002 and early 2003 to more than 28 countries through the medium of international travel. The evolution and spread of SARS has ...
C Y Wang,J B Bassingthwaighte,L J Weissman
C Y Wang
A new method to generate a bifurcating distributive system is presented. The method utilizes random points inside a given area and is sensitive to the global and local concentrations of the points. The algorithm is highly efficient compared...
An Adaptive Multigrid Algorithm for Simulating Solid Tumor Growth Using Mixture Models [0.03%]
适应用于混合模型的固体肿瘤生长模拟自适应多级算法
S M Wise,J S Lowengrub,V Cristini
S M Wise
In this paper we give the details of the numerical solution of a three-dimensional multispecies diffuse interface model of tumor growth, which was derived in (Wise et al., J. Theor. Biol. 253 (2008)) and used to study the development of gli...
Standard Error Computations for Uncertainty Quantification in Inverse Problems: Asymptotic Theory vs. Bootstrapping [0.03%]
反问题中不确定量化的标准误差计算：渐近理论vs自助法
H T Banks,Kathleen Holm,Danielle Robbins
H T Banks
We computationally investigate two approaches for uncertainty quantification in inverse problems for nonlinear parameter dependent dynamical systems. We compare the bootstrapping and asymptotic theory approaches for problems involving data ...
Using Inverse Problem Methods with Surveillance Data in Pneumococcal Vaccination [0.03%]
利用监测数据解决肺炎球菌疫苗接种的逆向问题方法
Karyn L Sutton,H T Banks,Carlos Castillo-Chavez
Karyn L Sutton
The design and evaluation of epidemiological control strategies is central to public health policy. While inverse problem methods are routinely used in many applications, this remains an area in which their use is relatively rare, although ...
G M Kepler,H T Banks,M Davidian et al.
G M Kepler et al.
We propose a model for HCMV infection in healthy and immunosuppressed patients. First, we present the biological model and formulate a system of ordinary differential equations to describe the pathogenesis of primary HCMV infection in immun...
Ecosystem Modeling of College Drinking: Parameter Estimation and Comparing Models to Data [0.03%]
大学饮酒生态模型的参数估计以及与数据对比
Azmy S Ackleh,Ben G Fitzpatrick,Richard Scribner et al.
Azmy S Ackleh et al.
Recently we developed a model composed of five impulsive differential equations that describes the changes in drinking patterns (that persist at epidemic level) amongst college students. Many of the model parameters cannot be measured direc...