# Mathematical epidemiology is not an oxymoron

## 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.

- Modelos matemï¿½ticos para enfermedades infecciosas. Montesinos-L�pez, Osval Antonio; Hern�ndez-Su�rez, Carlos Mois�s // Salud Pï¿½blica de Mï¿½xico;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 â©½ 1, the disease-free equilibrium is...

- 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...

- 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...