About: A two-patch epidemic model with nonlinear reinfection

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An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	A two-patch epidemic model with nonlinear reinfection
Creator	Porter, Mason Hernández, Alberto Calvo, Juan Sanchez, Fabio
Source	ArXiv
abstract	The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but illustrative example, we examine interactions between urban and rural populations in the dynamics of disease spreading. Using a compartmental framework of susceptible--infected--susceptible ($/mathrm{SI/widetilde{S}}$) dynamics with some level of immunity, we formulate a model that allows nonlinear reinfection. We investigate the effects of population movement in the simplest scenario: a case with two patches, which allows us to model movement between urban and rural areas. To study the dynamics of the system, we compute a basic reproduction number for each population (urban and rural). We also compute steady states, determine the local stability of the disease-free steady state, and identify conditions for the existence of endemic steady states. From our analysis and computational experiments, we illustrate that population movement plays an important role in disease dynamics. In some cases, it can be rather beneficial, as it can enlarge the region of stability of a disease-free steady state.
has issue date	2019-07-21(xsd:dateTime)
has license	arxiv
sha1sum (hex)	0fa87c9b7907d9d0c6ca454e8b5f34d4cce78d41
resource representing a document's title	A two-patch epidemic model with nonlinear reinfection
resource representing a document's body	covid:0fa87c9b7907d9d0c6ca454e8b5f34d4cce78d41#body_text
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