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Coexistence for a multitype contact process with seasons

Publication ,  Journal Article
Chan, B; Durrett, R; Lanchier, N
Published in: Annals of Applied Probability
October 1, 2009

We introduce a multitype contact process with temporal heterogeneity involving two species competing for space on the d-dimensional integer lattice. Time is divided into seasons called alternately season 1 and season 2. We prove that there is an open set of the parameters for which both species can coexist when their dispersal range is large enough. Numerical simulations also suggest that three species can coexist in the presence of two seasons. This contrasts with the long-term behavior of the time-homogeneous multitype contact process for which the species with the higher birth rate outcompetes the other species when the death rates are equal. © Institute of Mathematical Statistics, 2009.

Duke Scholars

Published In

Annals of Applied Probability

DOI

EISSN

1050-5164

ISSN

1050-5164

Publication Date

October 1, 2009

Volume

19

Issue

5

Start / End Page

1921 / 1943

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4901 Applied mathematics
  • 0104 Statistics
  • 0102 Applied Mathematics
 

Citation

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MLA
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Chan, B., Durrett, R., & Lanchier, N. (2009). Coexistence for a multitype contact process with seasons. Annals of Applied Probability, 19(5), 1921–1943. https://doi.org/10.1214/09-AAP599
Chan, B., R. Durrett, and N. Lanchier. “Coexistence for a multitype contact process with seasons.” Annals of Applied Probability 19, no. 5 (October 1, 2009): 1921–43. https://doi.org/10.1214/09-AAP599.
Chan B, Durrett R, Lanchier N. Coexistence for a multitype contact process with seasons. Annals of Applied Probability. 2009 Oct 1;19(5):1921–43.
Chan, B., et al. “Coexistence for a multitype contact process with seasons.” Annals of Applied Probability, vol. 19, no. 5, Oct. 2009, pp. 1921–43. Scopus, doi:10.1214/09-AAP599.
Chan B, Durrett R, Lanchier N. Coexistence for a multitype contact process with seasons. Annals of Applied Probability. 2009 Oct 1;19(5):1921–1943.

Published In

Annals of Applied Probability

DOI

EISSN

1050-5164

ISSN

1050-5164

Publication Date

October 1, 2009

Volume

19

Issue

5

Start / End Page

1921 / 1943

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4901 Applied mathematics
  • 0104 Statistics
  • 0102 Applied Mathematics