A stochastic spatial model for the sterile insect control strategy
Publication
, Journal Article
Huang, X; Durrett, R
Published in: Stochastic Processes and their Applications
March 1, 2023
In the system we study, 1’s and 0’s represent occupied and vacant sites in the contact process with births at rate λ and deaths at rate 1. −1’s are sterile individuals that do not reproduce but appear spontaneously on vacant sites at rate α and die at rate θα. We show that the system (which is attractive but has no dual) dies out at the critical value and has a nontrivial stationary distribution when it is supercritical. Our most interesting results concern the asymptotics when α→0. In this regime the process resembles the contact process in a random environment.
Duke Scholars
Published In
Stochastic Processes and their Applications
DOI
ISSN
0304-4149
Publication Date
March 1, 2023
Volume
157
Start / End Page
249 / 278
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0104 Statistics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Huang, X., & Durrett, R. (2023). A stochastic spatial model for the sterile insect control strategy. Stochastic Processes and Their Applications, 157, 249–278. https://doi.org/10.1016/j.spa.2022.11.018
Huang, X., and R. Durrett. “A stochastic spatial model for the sterile insect control strategy.” Stochastic Processes and Their Applications 157 (March 1, 2023): 249–78. https://doi.org/10.1016/j.spa.2022.11.018.
Huang X, Durrett R. A stochastic spatial model for the sterile insect control strategy. Stochastic Processes and their Applications. 2023 Mar 1;157:249–78.
Huang, X., and R. Durrett. “A stochastic spatial model for the sterile insect control strategy.” Stochastic Processes and Their Applications, vol. 157, Mar. 2023, pp. 249–78. Scopus, doi:10.1016/j.spa.2022.11.018.
Huang X, Durrett R. A stochastic spatial model for the sterile insect control strategy. Stochastic Processes and their Applications. 2023 Mar 1;157:249–278.
Published In
Stochastic Processes and their Applications
DOI
ISSN
0304-4149
Publication Date
March 1, 2023
Volume
157
Start / End Page
249 / 278
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0104 Statistics
- 0102 Applied Mathematics