We prove that the classical model of an infectious disseise, which never kills and which does not induce autoimmunity, is integrable. This model can be written as x′ = - b x y - m x + c y + m k, y′ = b x y - (m + c) y with parameters b, c, k, m ∈ R. We provide the explicit expression of its first integrals and of the set of all its invariant algebraic curves. © 2008 Elsevier Inc. All rights reserved.
CITATION STYLE
Llibre, J., & Valls, C. (2008). Integrability of a SIS model. Journal of Mathematical Analysis and Applications, 344(1), 574–578. https://doi.org/10.1016/j.jmaa.2008.03.007
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