A free boundary problem for a predator–prey model

@article{Lin2007AFB,
  title={A free boundary problem for a predator–prey model},
  author={Zhigui Lin},
  journal={Nonlinearity},
  year={2007},
  volume={20},
  pages={1883-1892}
}
This article is concerned with a system of semilinear parabolic equations with a free boundary, which arises in a predator–prey ecological model. The conditions for the existence and uniqueness of a classical solution are obtained. The evolution of the free boundary problem is studied. It is proved that the problem addressed is well posed, and that the predator species disperses to all domains in finite time. 
110 Citations
Numerical Approximation of a Free Boundary Problem for a Predator-Prey Model
  • 10
  • PDF
A free boundary problem of a predator-prey model with advection in heterogeneous environment
  • 10
Spreading and vanishing in the diffusive prey-predator model with a free boundary
  • M. Wang
  • Biology, Computer Science
  • Commun. Nonlinear Sci. Numer. Simul.
  • 2015
  • 41
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 23 REFERENCES
...
1
2
3
...