Understanding the effect of vector dynamics in epidemic models using center manifold analysis | Zendy

Filipe Rocha | Zendy; Maíra Aguiar | Zendy; Max O. Souza | Zendy; Nico Stollenwerk | Zendy

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Understanding the effect of vector dynamics in epidemic models using center manifold analysis

Author(s) -

Filipe Rocha,

Maíra Aguiar,

Max O. Souza,

Nico Stollenwerk

Publication year - 2012

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.177

H-Index - 75

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.4756398

Subject(s) - vector (molecular biology) , human disease , manifold (fluid mechanics) , epidemiology , center manifold , scale (ratio) , dynamics (music) , computer science , biology , disease , physics , medicine , geography , cartography , engineering , mechanical engineering , biochemistry , hopf bifurcation , pathology , nonlinear system , quantum mechanics , gene , acoustics , bifurcation , recombinant dna

In vector borne diseases the human hosts' epidemiology often acts on a much slower time scales than the one of the mosquitos which transmit the disease as a vector from human to human, due to their vastly different life cycles. We investigate in a model with susceptible (S), infected (I) and recovered (R) humans and susceptible (U) and infected (V) mosquitoes in how far the fast time scale of the mosquito epidemiology can be slaved by the slower human epidemiology, so that for the understanding of human disease data mainly the dynamics of the human time scale is essential and only slightly perturbed by the mosquito dynamics. This analysis of the SIRUV model is qualitatively in agreement with a previously investigated simpler SISUV model, hence a feature of vector-borne diseases in general.

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