Journal article
Stochastic models for the Trojan Y-Chromosome eradication strategy of an invasive species
Journal of biological dynamics, Vol.10(1), pp.179-199
01/01/2016
Handle:
https://hdl.handle.net/2376/113570
PMID: 26674016
Abstract
The Trojan Y-Chromosome (TYC) strategy, an autocidal genetic biocontrol method, has been proposed to eliminate invasive alien species. In this work, we develop a Markov jump process model for this strategy, and we verify that there is a positive probability for wild-type females going extinct within a finite time. Moreover, when sex-reversed Trojan females are introduced at a constant population size, we formulate a stochastic differential equation (SDE) model as an approximation to the proposed Markov jump process model. Using the SDE model, we investigate the probability distribution and expectation of the extinction time of wild-type females by solving Kolmogorov equations associated with these statistics. The results indicate how the probability distribution and expectation of the extinction time are shaped by the initial conditions and the model parameters.
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Details
- Title
- Stochastic models for the Trojan Y-Chromosome eradication strategy of an invasive species
- Creators
- Xueying Wang - Department of Mathematics and Statistics, Washington State UniversityJay R Walton - Department of Mathematics, Texas A&M UniversityRana D Parshad - Department of Mathematics, Clarkson University
- Publication Details
- Journal of biological dynamics, Vol.10(1), pp.179-199
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- Taylor & Francis
- Identifiers
- 99900547962801842
- Language
- English
- Resource Type
- Journal article