scholarly journals Mathematical models of infectious disease transmission

2008 ◽  
Vol 6 (6) ◽  
pp. 477-487 ◽  
Author(s):  
Nicholas C. Grassly ◽  
Christophe Fraser
2020 ◽  
Author(s):  
Angela Maria Cadavid Restrepo ◽  
Luis Furuya-Kanamori ◽  
Helen Mayfield ◽  
Eric J. Nilles ◽  
Colleen L. Lau

2012 ◽  
Vol 54 (1-2) ◽  
pp. 23-36 ◽  
Author(s):  
E. K. WATERS ◽  
H. S. SIDHU ◽  
G. N. MERCER

AbstractPatchy or divided populations can be important to infectious disease transmission. We first show that Lloyd’s mean crowding index, an index of patchiness from ecology, appears as a term in simple deterministic epidemic models of the SIR type. Using these models, we demonstrate that the rate of movement between patches is crucial for epidemic dynamics. In particular, there is a relationship between epidemic final size and epidemic duration in patchy habitats: controlling inter-patch movement will reduce epidemic duration, but also final size. This suggests that a strategy of quarantining infected areas during the initial phases of a virulent epidemic might reduce epidemic duration, but leave the population vulnerable to future epidemics by inhibiting the development of herd immunity.


2019 ◽  
Vol 34 (4) ◽  
Author(s):  
Amy Moran-Thomas

Long-accepted models of causality cast diseases into the binary of either “contagious” or “non-communicable,” typically with institutional resources focused primarily on interrupting infectious disease transmission. But in southern Belize, as in much of the world today, epidemic diabetes has become a leading cause of death and a notorious contributor to organ failure and amputated limbs. This ethnographic essay follows caregivers’ and families’ work to survive in-between public health categories, and asks what responses a bifurcated model of infectious versus non-communicable disease structures or incapacitates in practice. It proposes an alternative focus on diabetes as a “para-communicable” condition—materially transmitted as bodies and ecologies intimately shape each other over time, with unequal and compounding effects for historically situated groups of people. The article closes by querying how communicability relates to community, and why it matters to reframe narratives about contributing causalities in relation to struggles for treatment access.


2020 ◽  
Vol 34 ◽  
pp. 02002
Author(s):  
Aurelia Florea ◽  
Cristian Lăzureanu

In this paper we consider a three-dimensional nonlinear system which models the dynamics of a population during an epidemic disease. The considered model is a SIS-type system in which a recovered individual automatically becomes a susceptible one. We take into account the births and deaths, and we also consider that susceptible individuals are divided into two groups: non-vaccinated and vaccinated. In addition, we assume a medical scenario in which vaccinated people take a special measure to quarantine their newborns. We study the stability of the considered system. Numerical simulations point out the behavior of the considered population.


Author(s):  
Catherine A. Marco

Patients may present to the emergency department (ED) for various complaints and requests related to risky sexual behavior. Such concerns may include pregnancy or infectious disease transmission, including urethritis, cervicitis, HIV, hepatitis, or others. Emergency physicians should test for pregnancy and infectious diseases, treat empirically for appropriate patients, and refer patients for counseling to reduce risky sexual behavior. Following a significant potential HIV exposure, postexposure prophylaxis (PEP) should be considered. The decision to administer PEP should be based on shared decision-making with the patient and should include assessment of the risk of the exposure and HIV status of the source patient. If the HIV status of the source patient is unknown, the source should be tested following informed consent and counseling. Patients should be referred to outpatient follow-up, including primary care, infectious disease, and if indicated, social services.


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