In this paper we consider the class C T of all dissipative 3-dimensional T-periodic Kolmogorov competitive and cyclic systems such that the trivial solution is a source, and we prove that "almost" every such system possesses a coexistence state. More precisely, we characterize an open and dense subs
โฆ LIBER โฆ
Coexistence States for Periodic Competitive Kolmogorov Systems
โ Scribed by Anna Battauz; Fabio Zanolin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 244 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
We prove the existence of positive periodic solutions for a class of nonautonomous competitive periodic Kolmogorov systems which generalize the Mayแ Leonard model. A necessary and sufficient condition is also obtained. แฎ 1998
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By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay, y t = y t r 3 t -a 3 t x 1 t -b 3 t y t -ฮฒ t 0 -ฯ K s y t + s ds is established, where r i t a i t i