scholarly journals Global dynamics of a staged progression model for infectious diseases

2006 ◽  
Vol 3 (3) ◽  
pp. 513-525 ◽  
Keyword(s):  
Infectious Diseases ◽  
Global Dynamics ◽  
Progression Model

scholarly journals Global Dynamics of an SVEIR Model with Age-Dependent Vaccination, Infection, and Latency

2018 ◽  
Vol 2018 ◽  
pp. 1-21 ◽  
Author(s):  
Rodrigue Yves M’pika Massoukou ◽  
Suares Clovis Oukouomi Noutchie ◽  
Richard Guiem
Keyword(s):  
Infectious Diseases ◽  
Differential Equations ◽  
Reproduction Number ◽  
Coupled System ◽  
Hyperbolic Partial Differential Equations ◽  
Global Dynamics ◽  
Lyapunov Functionals ◽  
Age Dependent ◽  
Induced Immunity ◽  
The Basic Reproduction Number

Vaccine-induced protection is substantial to control, prevent, and reduce the spread of infectious diseases and to get rid of infectious diseases. In this paper, we propose an SVEIR epidemic model with age-dependent vaccination, latency, and infection. The model also considers that the waning vaccine-induced immunity depends on vaccination age and the vaccinated individuals fall back to the susceptible class after losing immunity. The model is a coupled system of (hyperbolic) partial differential equations with ordinary differential equations. The global dynamics of the model is established through construction of appropriate Lyapunov functionals and application of Lasalle’s invariance principle. As a result, the global stability of the infection-free equilibrium and endemic equilibrium is obtained and is fully determined by the basic reproduction number R0.

Global Dynamics of a General Class of Multistage Models for Infectious Diseases

2012 ◽  
Vol 72 (1) ◽  
pp. 261-279 ◽  
Author(s):  
Hongbin Guo ◽  
Michael Y. Li ◽  
Zhisheng Shuai
Keyword(s):  
Infectious Diseases ◽  
General Class ◽  
Global Dynamics ◽  
Multistage Models

scholarly journals Global dynamics of a vaccination model for infectious diseases with asymptomatic carriers

2016 ◽  
Vol 13 (4) ◽  
pp. 813-840 ◽  
Author(s):  
Martin Luther Mann Manyombe ◽  
Joseph Mbang ◽  
Jean Lubuma ◽  
Berge Tsanou
Keyword(s):  
Infectious Diseases ◽  
Global Dynamics ◽  
Asymptomatic Carriers

scholarly journals Infectious Dynamics in Urban 3D-Environment: Challenges and Possibilities

2020 ◽  
pp. paper48-1-paper48-12
Author(s):  
Eugene Eremchenko ◽  
Vladimir Tikunov ◽  
Sergey Vylegzhanin ◽  
Alexander Fetishev
Keyword(s):  
Infectious Diseases ◽  
Small Area ◽  
3D Model ◽  
Ecological Factors ◽  
Global Dynamics ◽  
3D Environment ◽  
Specific Factors ◽  
The Town ◽  
Current Stage ◽  
Made In

The article is a brief overview of the results of the current stage of study of the dynamics of infectious processes in the modern urban environment in Protvino (Russia) with the help of 3D-model of the town, made in the paradigm of the Digital Earth. Data for the period 2011-2016 (38791 events) were used. Spatial and temporal resolution “building-day” was achieved. It is demonstrated that infectious diseases rates even in neighboring buildings can vary significantly from one to another. The presence of buildings with both significantly higher and significantly lower rates of infectious diseases is shown. Such significant discrepancies between rates are difficult to explain by local ecological factors like air and water pollutions because of the generalized nature of their impact on such a small area. The example of the global dynamics of COVID-19 demonstrates the need to study both specific and non-specific factors for the local epidemic process. Prospectives of the future researches are discussed briefly.

143: Chemopreventive Agents May Regulate PSA Expression in the LNCaP Progression Model

2007 ◽  
Vol 177 (4S) ◽  
pp. 49-49
Author(s):  
George N. Thalmann ◽  
Daniel Peternac ◽  
Cyrill A. Rentsch ◽  
Marco G. Cecchini ◽  
Urs E. Studer
Keyword(s):  
Chemopreventive Agents ◽  
Progression Model
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