Structure of the Global Attractors in a Model for Ectoparasite Borne Diseases

Attila Dénes, Gergely Röst

Abstract


We delineate a mathematical model for the dynamics of the spread of ectoparasites and the diseases transmitted by them. We present how the dynamics of the system depends on the three reproduction numbers belonging to three of the four possible equilibria and give a complete characterization of the structure of the global attractor in each possible case depending on the reproduction numbers.

Keywords


ectoparasites; global dynamics; global attractors

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DOI: http://dx.doi.org/10.11145/j.biomath.2012.09.256

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ISSN 1314-7218 (online)
ISSN 1314-684X (print)

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