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A reaction―diffusion SIS epidemic model in a time-periodic environment
RUI PENG ; ZHAO, Xiao-Qiang
Nonlinearity, 2012-05, Vol.25 (5), p.1451-1471
[Periódico revisado por pares]
Bristol: Institute of Physics
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Título:
A reaction―diffusion SIS epidemic model in a time-periodic environment
Autor:
RUI PENG
;
ZHAO, Xiao-Qiang
Assuntos:
Applications
;
Biology, psychology, social sciences
;
Constants
;
Dynamic mechanical properties
;
Epidemics
;
Exact sciences and technology
;
Global analysis, analysis on manifolds
;
Heterogeneity
;
Infectious diseases
;
Mathematical analysis
;
Mathematical methods in physics
;
Mathematics
;
Other topics in mathematical methods in physics
;
Physics
;
Probability and statistics
;
Reproduction
;
Sciences and techniques of general use
;
Statistics
;
Temporal logic
;
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
É parte de:
Nonlinearity, 2012-05, Vol.25 (5), p.1451-1471
Notas:
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição:
In this paper, we consider a susceptible-infected-susceptible (SIS) reaction-diffusion model, where the rates of disease transmission and recovery are assumed to be spatially heterogeneous and temporally periodic and the total population number is constant. We introduce a basic reproduction number R sub(0) and establish threshold-type results on the global dynamics in terms of R sub(0). In particular, we obtain the asymptotic properties of R sub(0) with respect to the diffusion rate d sub(I)of the infected individuals, which exhibit the delicate influence of the time-periodic heterogeneous environment on the extinction and persistence of the infectious disease. Our analytical results suggest that the combination of spatial heterogeneity and temporal periodicity tends to enhance the persistence of the disease.
Editor:
Bristol: Institute of Physics
Idioma:
Inglês
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