Geometrization of Some Epidemic Models

2010/02/13 by Magd E. Kahil, M. E. Kahil, Kahil, M. E.
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE) #math.DG #q-bio.PE

paper · pdf · doi:10.48550/arxiv.1002.2693

A revised version, 12 LaTeX pages

openalex publication_date 2010/02/13 · arxiv created 2010/04/16 · arxiv updated 2010/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, the behavior of different epidemic models and their relation both to different types of geometries and to some biological models has been revisited . Path equations representing the behavior of epidemic models and their corresponding deviation vectors are examined. A comparison between paths and their deviation vectors in Riemannian and Finslerian Geometries is presented.

Citations

• Heterogeneous Susceptibles-Infectives model: Mechanistic derivation of the power law transmission function

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