论文信息 - The Basic Reproduction Number in a Multi-city Compartmental Epidemic Model

The Basic Reproduction Number in a Multi-city Compartmental Epidemic Model

A directed graph with cities as vertices and arcs determined by outgoing (or return) travel represents the mobility component in a population of individuals who travel between n cities. A model with 4 epidemiological compartments in each city that describes the propagation of a disease in this population is formulated as a system of 4n 2 ordinary dieren tial equations. Terms in the system account for disease transmission, latency, recovery, temporary immunity, birth, death, and travel between cities. The basic reproduction number R0 is determined as the spectral radius of a nonnegative matrix product, and easily computable bounds on R0 are obtained.

Julien Arino | Pauline van den Driessche | P. Driessche | Julien Arino

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