Both uniform persistence and global extinction are established for two species predator prey and competition reaction diffusion systems with delays in terms of the principal eigenvalues of the scalar elliptic eigenvalue problems by appealing to the theories of abstract persistence, asymptotically au
Extinction and persistence in discrete noncooperative systems with age-structure and diffusion
β Scribed by Sanyi Tang; Yanni Xiao
- Book ID
- 104350910
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 817 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0895-7177
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β¦ Synopsis
Using a multispecies model of Ebenman for the dynamics of a discretely reproducting population that consists of noncooperation between juveniles and adults which the adults species diffuses between two patches, we obtain exclusion principles by Lyapunov function methods, and show that a species persists whenever all of its carrying capacities are sufficiently large.
π SIMILAR VOLUMES
We analyze a two species discrete competition model in which one species diffuses between two patches, A and B. In this model, two species, species 1 and 2, compete in patch A with species 1 being the sedentary species. Thus, patch B is a safe refuge for species 2. We obtain sufficient conditions fo