## Competitive exclusion principle for SIS and SIR models with n strains

*Bichara, Derdei*;

*Iggidr, Abderrahman*;

*Sallet, Gauthier*;

- 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

- References (36)
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[9] T. Dhirasakdanon and H. R. Thieme, Persistence of vertically transmitted parasite strains which protect against more virulent horizontally transmitted strains, in Modeling and dynamics of infectious diseases, vol. 11 of Ser. Contemp. Appl. Math. CAM, Higher Ed. Press, Beijing, 2009, pp. 187-215.

[10] T. Dhirasakdanon and H. R. Thieme, Stability of the endemic coexistence equilibrium for one host and two parasites, Math. Model. Nat. Phenom., 5 (2010), pp. 109-138.

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