Impact of resource distributions on the competition of species in stream environment

Tung D Nguyen; Yixiang Wu; Tingting Tang; Amy Veprauskas; Ying Zhou; Behzad Djafari Rouhani; Zhisheng Shuai

doi:10.1007/s00285-023-01978-6

Impact of resource distributions on the competition of species in stream environment

J Math Biol. 2023 Sep 22;87(4):62. doi: 10.1007/s00285-023-01978-6.

Authors

Tung D Nguyen¹, Yixiang Wu², Tingting Tang³, Amy Veprauskas⁴, Ying Zhou⁵, Behzad Djafari Rouhani⁶, Zhisheng Shuai⁷

Affiliations

¹ Department of Mathematics, Texas A &M University, College Station, TX, 77843, USA.
² Department of Mathematical Sciences, Middle Tennessee State University, Murfreesboro, TN, 37132, USA. Yixiang.Wu@mtsu.edu.
³ Department of Mathematics and Statistics, San Diego State University, San Diego, CA, 92182, USA.
⁴ Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70501, USA.
⁵ Department of Mathematics, Lafayette College, Easton, PA, 18042, USA.
⁶ Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX, 79968, USA.
⁷ Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA.

PMID: 37736867
DOI: 10.1007/s00285-023-01978-6

Abstract

Our earlier work in Nguyen et al. (Maximizing metapopulation growth rate and biomass in stream networks. arXiv preprint arXiv:2306.05555 , 2023) shows that concentrating resources on the upstream end tends to maximize the total biomass in a metapopulation model for a stream species. In this paper, we continue our research direction by further considering a Lotka-Volterra competition patch model for two stream species. We show that the species whose resource allocations maximize the total biomass has the competitive advantage.

Keywords: Global dynamics; Lotka–Volterra competition model; Patch model; Resource distributions; Stream species.

MeSH terms

Biomass
Resource Allocation*