Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium

@article{Fontbona2015NonLL,
  title={Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium},
  author={Joaqu{\'i}n Fontbona and Sylvie M{\'e}l{\'e}ard},
  journal={Journal of Mathematical Biology},
  year={2015},
  volume={70},
  pages={829-854}
}
We introduce a stochastic individual model for the spatial behavior of an animal population of dispersive and competitive species, considering various kinds of biological effects, such as heterogeneity of environmental conditions, mutual attractive or repulsive interactions between individuals or competition between them for resources. As a consequence of the study of the large population limit, global existence of a nonnegative weak solution to a multidimensional parabolic strongly coupled… 
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