Coexistence of one predator and two prey through rapid evolution in predator's feeding choice

被引：2

作者：

Cai, Rongsheng ^{[1
]}

Cai, Yuhua ^{[1
,2
]}

Shen, Jianhe ^{[1
,2
]}

机构：

[1] Fujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Fujian, Peoples R China

[2] FJKLMAA & Ctr Appl Math Fujian Prov FJNU, Fuzhou 350117, Fujian, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 126卷

关键词：

Predator-prey interaction; Rapid predator evolution; Geometric singular perturbation theory; Relaxation oscillation; ENTRY-EXIT FUNCTION; DYNAMICS; ADAPTATION; FITNESS; MODEL;

D O I：

10.1016/j.cnsns.2023.107454

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the coexistence of one predator and two prey with evolutionary effects. To that end, we formulate a three-time-scale model with rapid adaptive in predator's feeding choice, slow prey growth and superslow predator growth. By using the geometric singular perturbation theory and computing the entry-exit function for multidimensional fast-slow systems, we find that the predator and the two prey coexist in a form of relaxation oscillations between being near the extreme values of feeding choice strategy due to the associated delay of stability loss. It is also found that the predator can coexist with the two prey in the form of an interior equilibrium with a locally optimal feeding choice. & COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：15

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