Competitive exclusion principle for SIS and SIR models with n strains

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Bichara, Derdei; Iggidr, Abderrahman; Sallet, Gauthier; (2012)
  • Publisher: HAL CCSD
  • Subject: Lyapunov methods | AMS subject classification: 34A34; 34D23; 34D40; 92D30 | global stability | competition | [ SDV.MHEP.MI ] Life Sciences [q-bio]/Human health and pathology/Infectious diseases | boundary equilibria | [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases | Nonlinear dynamical systems

We consider SIS and SIR models with standard mass action and varying population, with $n$ different pathogen strains of an infectious disease. We also consider the same models with vertical transmission. We prove that under generic conditions a competitive exclusion pri... View more
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