## Global analysis of multi-strains SIS, SIR and MSIR epidemic models

*Bichara, Derdei*;

*Iggidr, Abderrahman*;

*Sallet, Gauthier*;

- Publisher: Springer
Related identifiers: - Subject: [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS] | Lyapunov methods | [SDV.SPEE] Life Sciences [q-bio]/Santé publique et épidémiologie | [ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS] | [ SDV.SPEE ] Life Sciences [q-bio]/Santé publique et épidémiologie | Global Stability | Competition | Boundary equilibria | [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases | Nonlinear dynamical systems | Mathematics Subject Classification (2000): 34A34, 34D23, 34D40, 92D30 | [SDV.MHEP.MI] Life Sciences [q-bio]/Human health and pathology/Infectious diseases | [SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie | [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] | [ SDV.MHEP.MI ] Life Sciences [q-bio]/Human health and pathology/Infectious diseases

International audience; We consider SIS, SIR and MSIR 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 conditio... View more

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