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Results from variants of the Fisher equation in the study of epidemics and bacteria

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  • Kenkre, V.M.

Abstract

The Fisher equation, which combines diffusive motion of individuals with nonlinearities arising from their growth and competition processes, is analyzed, generalized, and applied to the dynamics of bacteria, pattern formation, and the spread of epidemics. Analytic solutions are also presented for some exactly soluble and physically relevant variants of the equation.

Suggested Citation

  • Kenkre, V.M., 2004. "Results from variants of the Fisher equation in the study of epidemics and bacteria," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 242-248.
    • Handle: RePEc:eee:phsmap:v:342:y:2004:i:1:p:242-248
    DOI: 10.1016/j.physa.2004.04.084
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    Cited by:

    1. Majeed A. Yousif & Faraidun K. Hamasalh, 2023. "A Hybrid Non-Polynomial Spline Method and Conformable Fractional Continuity Equation," Mathematics, MDPI, vol. 11(17), pages 1-18, September.
    2. Aranda, Orestes Tumbarell & Penna, André L.A. & Oliveira, Fernando A., 2021. "Nonlocal pattern formation effects in evolutionary population dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

    More about this item

    Keywords

    Fisher; Epidemics; Bacteria; Patterns;
    All these keywords.

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