Global analytic first integrals for the simplified multistrain/two-stream model for tuberculosis and dengue fever

Abstract

We provide the complete classification of all global analytic first integrals of the simplified multistrain/two-stream model for tuberculosis and dengue fever that can be written as ẋ = x (β1 - b - γ1 - β1x -(β1 -ν)y), ẏ = y (β2 - b -γ2 - (β2 +ν)x -β2y), with β1, β2, b, γ1, γ2, ν ∈ ℝ. © 2009 The Author(s).