Competitive exclusion in a model with seasonality: Three species cannot coexist in an ecosystem with two seasons.
Publication
, Journal Article
Tung, H-R; Durrett, R
Published in: Theoretical population biology
December 2022
Chan, Durrett, and Lanchier introduced a multitype contact process with temporal heterogeneity involving two species competing for space on the d-dimensional integer lattice. Time is divided into two seasons. They proved that there is an open set of the parameters for which both species can coexist when their dispersal range is sufficiently large. Numerical simulations suggested that three species can coexist in the presence of two seasons. The main point of this paper is to prove that this conjecture is incorrect. To do this we prove results for a more general ODE model and contrast its behavior with other related systems that have been studied in order to understand the competitive exclusion principle.
Duke Scholars
Published In
Theoretical population biology
DOI
EISSN
1096-0325
ISSN
0040-5809
Publication Date
December 2022
Volume
148
Start / End Page
40 / 45
Related Subject Headings
- Seasons
- Population Dynamics
- Models, Biological
- Evolutionary Biology
- Ecosystem
- Competitive Behavior
- 4901 Applied mathematics
- 3104 Evolutionary biology
- 3103 Ecology
- 0604 Genetics
Citation
APA
Chicago
ICMJE
MLA
NLM
Tung, H.-R., & Durrett, R. (2022). Competitive exclusion in a model with seasonality: Three species cannot coexist in an ecosystem with two seasons. Theoretical Population Biology, 148, 40–45. https://doi.org/10.1016/j.tpb.2022.09.002
Tung, Hwai-Ray, and Rick Durrett. “Competitive exclusion in a model with seasonality: Three species cannot coexist in an ecosystem with two seasons.” Theoretical Population Biology 148 (December 2022): 40–45. https://doi.org/10.1016/j.tpb.2022.09.002.
Tung H-R, Durrett R. Competitive exclusion in a model with seasonality: Three species cannot coexist in an ecosystem with two seasons. Theoretical population biology. 2022 Dec;148:40–5.
Tung, Hwai-Ray, and Rick Durrett. “Competitive exclusion in a model with seasonality: Three species cannot coexist in an ecosystem with two seasons.” Theoretical Population Biology, vol. 148, Dec. 2022, pp. 40–45. Epmc, doi:10.1016/j.tpb.2022.09.002.
Tung H-R, Durrett R. Competitive exclusion in a model with seasonality: Three species cannot coexist in an ecosystem with two seasons. Theoretical population biology. 2022 Dec;148:40–45.
Published In
Theoretical population biology
DOI
EISSN
1096-0325
ISSN
0040-5809
Publication Date
December 2022
Volume
148
Start / End Page
40 / 45
Related Subject Headings
- Seasons
- Population Dynamics
- Models, Biological
- Evolutionary Biology
- Ecosystem
- Competitive Behavior
- 4901 Applied mathematics
- 3104 Evolutionary biology
- 3103 Ecology
- 0604 Genetics