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Persistence and Extinction in Two Species Reaction–Diffusion Systems with Delays

✍ Scribed by Shigui Ruan; Xiao-Qiang Zhao

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
205 KB
Volume
156
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

✦ Synopsis

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 autonomous semiflows, and monotone dynamical systems.

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