Abstract
We consider a mathematical model of eradication by competition between wild and sterile species when immigration is present. We discuss the case with constant and random immigration flux. In the first case, there is a threshold of eradication M c related to the number M of sterile individuals. This threshold is evaluated analytically and depends on the niche capacity for instance . Under this threshold ( M< M c ) and depending on the immigration flux I 0 there is a discontinuous transition between the low- and the high-population phase corresponding to the niche colonization. In the random immigration case, there is a finite probability to occupy the ecological niche depending on the values of M and I 0. By analogy with some mathematical bistable models, we define the niche colonization time for the wild species. This model is inspired by the fruit flies ( Ceratitis capitata) eradication and frontiers control program carried out in different regions of the world by the corresponding agricultural services.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
