Enhancing coexistence of mobile species in the cyclic competition system by wildlife refuge

Author:

Lu Yikang1,Shen Chen1,Wu Mengjie1,Du Chunpeng1,Shi Lei12ORCID,Park Junpyo3ORCID

Affiliation:

1. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China

2. Interdisciplinary Research Institute of Data Science, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China

3. Department of Applied Mathematics, Kyung Hee University, Yongin 17104, Republic of Korea

Abstract

We investigate evolving dynamics of cyclically competing species on spatially extended systems with considering a specific region, which is called the “wildlife refuge,” one of the institutional ways to preserve species biodiversity. Through Monte-Carlo simulations, we found that the refuge can play not groundbreaking but an important role in species survival. Species coexistence is maintained at a moderate mobility regime, which traditionally leads to the collapse of coexistence, and eventually, the extinction is postponed depending on the competition rate rather than the portion of the refuge. Incorporating the extinction probability and Fourier transform supported our results in both stochastic and analogous ways. Our findings may provide valuable evidence to assist fields of ecological/biological sciences in understanding the presence and construction of refuges for wildlife with associated effects on species biodiversity.

Funder

National Natural Science Foundation of China

National Research Foundation of Korea

Yunnan University of Finance and Economics

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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