A mathematical model for wild and sterile species in competition: immigration
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 Mc 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<Mc) and depending on the immigration flux I0 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 I0. 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.
Year of publication: |
2003
|
---|---|
Authors: | Flores, J.C. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 328.2003, 1, p. 214-224
|
Publisher: |
Elsevier |
Subject: | Population dynamics | Ecology |
Saved in:
Online Resource
Saved in favorites
Similar items by subject
-
Ecology, development and population problem : perspectives from India, China and Australia
Mahadevan, Kuttan, (1992)
-
(2017)
-
Zastavnyj, Fedor, (2006)
- More ...
Similar items by person
-
Troy: A simple nonlinear mathematical perspective
Flores, J.C., (2013)
- More ...