Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509619 | Journal of Computational and Applied Mathematics | 2005 | 20 Pages |
Abstract
This paper considers permanence of a single-species dispersal periodic system with the possibility of the loss for the species during their dispersion among patches. The condition obtained for permanence generalizes the known condition on the system without loss for the species in the process of movement. Next, we add predators into every patch and consider the survival possibility of the predator. It is shown that the total amount of the predators can remain positive, if the single-species (prey) dispersal system has a positive periodic solution and the quantity of prey in each patch is enough for survival of the predator.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jing'an Cui, Yasuhiro Takeuchi,