Probabilistic Model for the Lotka-Volterra System with Cross-Diffusion

Author:

Belopolskaya Ya. I.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference16 articles.

1. L. Chen and A. Jüngel, “Analysis of a multi-dimensional parabolic population model with strong cross-diffusion,” SIAM J. Math. Anal., 36, 301–322 (2004).

2. G. Galiano, M. Garzron, and A. Jüngel, “Analysis and numerical solution of a nonlinear cross-diffusion model arising in population dynamics,” Rev. Real Acad. Ciencias, Serie A. Mat., 95, 281–295 (2001).

3. S. Xu, “Existence of global solutions for a predator-prey model with cross-diffusion,” Electr. J. Diff. Eq., 6, 1–4 (2008).

4. A. Jüngel, “Diffusive and nondiffusive population models,” in: Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences (2010), pp. 397–425.

5. H. Kunita, Stochastic Flows and Stochastic Differential Equations, Cambridge Univ. Press, Cambridge (1990).

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