ANALYTICAL APPROXIMATIONS OF LOTKA-VOLTERRA INTEGRALS

被引：0
|
作者：
Lundstrom, Niklas L. P. [1 ]
Soderbacka, Gunnar J. [2 ]
机构：
[1] Umea Univ, Dept Math & Math Stat, SE-90187 Umea, Sweden
[2] Abo Akad Univ, Turku 20500, Finland
来源：
ANZIAM JOURNAL | 2025年 / 67卷
关键词：
Rosenzweig-MacArthur; predator-prey; size of limit cycle; Lyapunov; Lambert W function; PROJECTILE MOTION; LIMIT-CYCLE;
D O I：
10.1017/S1446181125000033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：17
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