Structure of the Global Attractors in a Model for Ectoparasite Borne Diseases
Keywords:ectoparasites, global dynamics, global attractors
AbstractWe 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.
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