ANALYTICAL APPROXIMATIONS OF LOTKA–VOLTERRA INTEGRALS
Abstract In this paper, we derive simple analytical bounds for solutions of $x - \ln x = y -\ln y$ , and use them for estimating trajectories following Lotka–Volterra-type integrals. We show how our results give estimates for the Lambert W function as well as for trajectories of general predator–prey systems, including, for example, Rosenzweig–MacArthur equations.
Authors
- Niklas L. P. Lundström (ORCID: https://orcid.org/0000-0003-4040-8142)
- Gunnar Söderbacka
Institutions
- Åbo Akademi University (FI)
- Umeå University (SE)
Publication Details
- Journal
- The ANZIAM Journal
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1017/s1446181125000033
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00