Global stability and asymptotically periodic solution for nonautonomous cooperative Lotka-Volterra diffusion system

@article{Wei2006GlobalSA,
  title={Global stability and asymptotically periodic solution for nonautonomous cooperative Lotka-Volterra diffusion system},
  author={Fengying Wei and Ke Wang},
  journal={Applied Mathematics and Computation},
  year={2006},
  volume={182},
  pages={161-165}
}
Two asymptotically cooperative Lotka–Volterra populations in the two-patch-system with diffusion were considered in this paper. Each population could diffuse independently and discretely between its intrapatch and interpatch. By means of constructing a suitable Liapunov function, we obtained that the systems had a unique asymptotically periodic solution which was globally asymptotically stable. 2006 Published by Elsevier Inc. 

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