Mathematical epidemiology is not an oxymoron

Brauer, Fred
January 2009
BMC Public Health;2009 Supplement 1, Vol. 9, Special section p1
Academic Journal
A brief description of the importance of communicable diseases in history and the development of mathematical modelling of disease transmission is given. This includes reasons for mathematical modelling, the history of mathematical modelling from the foundations laid in the late nineteenth century to the present, some of the accomplishments of mathematical modelling, and some challenges for the future. Our purpose is to demonstrate the importance of mathematical modelling for the understanding and management of infectious disease transmission.


Related Articles

  • Network Perspectives on Infectious Disease Dynamics. Meyers, Lauren Ancel; Kerr, Ben; Koelle, Katia // Interdisciplinary Perspectives on Infectious Diseases;2011, p1 

    An introduction is presented in which the editors discuss various reports within the issue on topics including the epidemic percolation approach to model infectious disease transmission, the impacts of assortative mixing patterns, and the developments in network epidemiology.

  • Persistence of an SEIR Model with Immigration Dependent on the Prevalence of Infection. Wenjuan Wang; Jingqi Xin; Fengqin Zhang // Discrete Dynamics in Nature & Society;2010, Special section p1 

    We incorporate the immigration of susceptible individuals into an SEIR epidemic model, assuming that the immigration rate decreases as the spread of infection increases. For this model, the basic reproduction number, R0, is found, which determines that the disease is either extinct or persistent...

  • RECURRENT EPIDEMICS RESULTING FROM SECONDARY TRANSMISSION ROUTES IN SIR MODELS. ADAMS, MALCOLM R.; OBARA, SAMUEL // Electronic Journal of Differential Equations;2011, Vol. 2011, Special section p1 

    In this article, we analyze the behavior of solutions to a variant of the SIR (susceptible, infected, recovered) model from epidemiology. The model studied includes a secondary route for susceptible individuals to be exposed to the infectious agent. This secondary route provides a feedback...

  • Mining social mixing patterns for infectious disease models based on a two-day population survey in Belgium. Hens, Niel; Goeyvaerts, Nele; Aerts, Marc; Shkedy, Ziv; Van Damme, Pierre; Beutels, Philippe // BMC Infectious Diseases;2009, Vol. 9 Issue 1, Special section p1 

    Background: Until recently, mathematical models of person to person infectious diseases transmission had to make assumptions on transmissions enabled by personal contacts by estimating the so-called WAIFW-matrix. In order to better inform such estimates, a population based contact survey has...

  • Modelos matem�ticos para enfermedades infecciosas. Montesinos-L�pez, Osval Antonio; Hern�ndez-Su�rez, Carlos Mois�s // Salud P�blica de M�xico;may/jun2007, Vol. 49 Issue 3, p218 

    Objective. To describe the importance of mathematical models in the understanding of infectious disease transmission dynamics, as well as in the design of effective strategies for control. Material and Methods. International literature was reviewed on the subject through digital means. Around 60...

  • Global stability of an SEIV epidemic model with slow stage, fast stage and saturating contact rate. Junyuan Yang; Xiaoyan Wang; Xuezhi Li // Journal of Advanced Research in Applied Mathematics;2011, Vol. 3 Issue 3, p56 

    In this paper, we study an SEIV epidemic model with slow stage, fast stage,and saturating contact rate. The basic reproduction number R0 is proved to be a sharp threshold, which completely determines the global dynamics and outcome of disease. If R0 ⩽ 1, the disease-free equilibrium is...

  • Empiricism and Theorizing in Epidemiology and Social Network Analysis. Rothenberg, Richard; Costenbader, Elizabeth // Interdisciplinary Perspectives on Infectious Diseases;2011, p1 

    The connection between theory and data is an iterative one. In principle, each is informed by the other: data provide the basis for theory that in turn generates the need for new information. This circularity is reflected in the notion of abduction, a concept that focuses on the space between...

  • Dynamics of an SIS Model on Homogeneous Networks with Delayed Reduction of Contact Numbers. Liu, Maoxing; Rost, Gergely // Biomath;Dec2012, p1 

    During infectious disease outbreaks, people may modify their contact patterns after realizing the risk of infection. In this paper, we assume that individuals make the decision of reducing a fraction of their links when the density of infected individuals exceeds some threshold, but the decision...

  • MODELLING CROWDING EFFECTS IN INFECTIOUS DISEASE TRANSMISSION. WATERS, EDWARD K. // Bulletin of the Australian Mathematical Society;Dec2015, Vol. 92 Issue 3, p522 

    The article discusses the mathematical justification of differential equations models of crowding effects in the transmission of infectious diseases. Topics discussed include proposed forms of Lloyd's mean crowding in the context of human papillomavirus modeling, the relationship between...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics