Heteroclinic bifurcation in a ratio-dependent predator-prey system
โ Scribed by Yilei Tang; Weinian Zhang
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 168 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0303-6812
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๐ SIMILAR VOLUMES
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of a delayed ratio-dependent predator-prey system in a periodic environment.
A stochastic ratio-dependent predator-prey model is investigated in this paper. By the comparison theorem of stochastic equations and Itรด's formula, we obtain the global existence of a positive unique solution of the ratio-dependent model. Besides, a condition for species to be extinct is given and