# A diffusive one-prey and two-competing-predator system with a ratio-dependent functional response: II stationary pattern formation

@article{Ko2013ADO, title={A diffusive one-prey and two-competing-predator system with a ratio-dependent functional response: II stationary pattern formation}, author={W. Ko and I. Ahn}, journal={Journal of Mathematical Analysis and Applications}, year={2013}, volume={397}, pages={29-45} }

Abstract This paper is a continuation of Ko and Ahn (2013) [1] , which investigates the stability at all non-negative equilibria and long time behavior of solutions for a ratio-dependent reaction–diffusion system incorporating one prey and two competing predator species under homogeneous Neumann boundary conditions. We examine the nonexistence and the appearance of stationary patterns in the time-independent system. In achieving these, we deal with the system only when the competition state… Expand

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#### References

SHOWING 1-10 OF 19 REFERENCES

A diffusive one-prey and two-competing-predator system with a ratio-dependent functional response: I, long time behavior and stability of equilibria

- Mathematics
- 2013

14

Stationary patterns for a prey–predator model with prey-dependent and ratio-dependent functional responses and diffusion

- Mathematics
- 2004

85

Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge

- Mathematics
- 2006

161- PDF

Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion

- Mathematics, Computer Science
- SIAM J. Appl. Math.
- 2007

63- PDF

Qualitative analysis of predator-prey models with Beddington-DeAngelis functional response and diffusion

- Computer Science, Mathematics
- Math. Comput. Model.
- 2005

82