Some "counterintuitive" results in two species competition
Analysis of PDEs
2021-09-13 v1 Dynamical Systems
Populations and Evolution
Abstract
We investigate the classical two species ODE and PDE Lotka-Volterra competition models, where one of the competitors could potentially go extinct in finite time. We show that in this setting, classical theories and intuitions do not hold, and various counter intuitive dynamics are possible. In particular, the weaker competitor could avoid competitive exclusion, and the slower diffuser may not win. Numerical simulations are performed to verify our analytical findings.
Cite
@article{arxiv.2008.02704,
title = {Some "counterintuitive" results in two species competition},
author = {Rana D. Parshad and Kwadwo Antwi-Fordjour and Eric M. Takyi},
journal= {arXiv preprint arXiv:2008.02704},
year = {2021}
}
Comments
21 pages, 27 figures