A multi-patch epidemic model with periodic demography, direct and indirect transmission and variable maturation rate
LANGLAIS, Michel
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
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Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
LANGLAIS, Michel
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
Mathematical Population Studies. 2006, vol. 13, n° 3, p. 153-177
Taylor & Francis (Routledge)
English Abstract
A deterministic epidemic model describes the propagation of Puumala hantavirus within the bank vole population of Clethrionomys glareolus . The host population is split into juvenile and adult individuals. Demographic ...Read more >
A deterministic epidemic model describes the propagation of Puumala hantavirus within the bank vole population of Clethrionomys glareolus . The host population is split into juvenile and adult individuals. Demographic parameters are time periodic. A further spatial structure is considered using a multi-patch model. Indirect transmission through environment is considered. Maturation and dispersion rates for juvenile individuals are adult density-dependent. Using bifurcation techniques, small periodic perturbations of constant coefficients are shown to lead to the emergence of periodic endemic states from locally asymptotically stable stationary states. Numerical simulations show that in some circumstances the virus is favored by periodical dynamics compared with constant dynamicsRead less <
English Keywords
spatial structure
density dependent maturation and dispersal rates
contaminated environment
periodical dynamics
host-parasite system
endemic states
Origin
Hal imported