Lotka–Volterra models with fractional diffusion
Published online by Cambridge University Press: 16 March 2017
Extract
We study Lotka–Volterra models with fractional Laplacian. To do this we study in detail the logistic problem and show that the sub–supersolution method works for both the scalar problem and for systems. We apply this method to show the existence and non-existence of positive solutions in terms of the system parameters.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 147 , Issue 3 , June 2017 , pp. 505 - 528
- Copyright
- Copyright © Royal Society of Edinburgh 2017
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