Ratio-Dependent Predator-Prey Models of Interacting Populations
β Scribed by Mainul Haque
- Book ID
- 107386021
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 489 KB
- Volume
- 71
- Category
- Article
- ISSN
- 1522-9602
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π SIMILAR VOLUMES
Ratio-dependent predator-prey models set up a challenging issue regarding their dynamics near the origin. This is due to the fact that such models are undefined at (0, 0). We study the analytical behavior at (0, 0) for a common ratio-dependent model and demonstrate that this equilibrium can be eithe
This paper deals with the existence and nonexistence of nonconstant positive steady-state solutions to a ratio-dependent predator-prey model with diffusion and with the homogeneous Neumann boundary condition. We demonstrate that there exists a 0 (b) satisfying 0 < a 0 (b) < m 1 for 0 < b < m 1 , suc
Predator-prey models where one or more terms involve ratios of the predator and prey populations may not be valid mathematically unless it can be shown that solutions with positive initial conditions never get arbitrarily close to the axis in question, i.e. that persistence holds. By means of a tran