Global stability of the multi-strain Kermack-McKendrick epidemic model
نویسندگان
چکیده
We extend a recent investigation by Meehan et al. (2017) [1] regarding the global stability properties of the general Kermack-McKendrick model to the multi-strain case. We demonstrate that the basic reproduction number of each strain R0j represents a sharp threshold parameter such that when R0j ≤ 1 for all j each strain dies out and the infection-free equilibrium is globally asymptotically stable; whereas for R01 ≡ maxj R0j > 1 the endemic equilibrium point P̄ , at which only the fittest strain (i.e. strain 1) remains in circulation, becomes globally asymptotically stable.
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