Exact solutions of systems of nonlinear differential equations describing the evolution of interacting populations

2008/09/22 by Olga Yu. Efimova, Efimova, Olga Yu.
Medicine · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI

paper · pdf · doi:10.48550/arxiv.0809.3810

14 pages, 5 figures

arxiv created 2008/09/22 · openalex publication_date 2008/09/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The generalization of the simplest equation method to look for exact solutions of systems of nonlinear differential equations is presented. The exact solutions of NDE systems describing the evolution of two interacting populations in two cases (both populations have the low critical density or low critical density is typical for only one of populations) are obtained.

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