Skip to main content
Journal cover image

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, 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.
Journal cover image

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