Existence of global solutions for a three‐species predator‐prey model with cross‐diffusion

@article{Pang2008ExistenceOG,
  title={Existence of global solutions for a three‐species predator‐prey model with cross‐diffusion},
  author={P. Pang and M. Wang},
  journal={Mathematische Nachrichten},
  year={2008},
  volume={281},
  pages={555-560}
}
In this short note, we study a strongly coupled system of partial differential equations which models the dynamics of a two-predator-one-prey ecosystem in which the prey exercises defense switching and the predators collaboratively take advantage of the prey's strategy. We prove the existence of global strong solutions. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) 
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