Turing instability for a ratio-dependent predator-prey model with diffusion

@article{Aly2011TuringIF,
  title={Turing instability for a ratio-dependent predator-prey model with diffusion},
  author={Shaban Aly and I. Kim and D. Sheen},
  journal={Appl. Math. Comput.},
  year={2011},
  volume={217},
  pages={7265-7281}
}
Abstract Ratio-dependent predator–prey models have been increasingly favored by field ecologists where predator–prey interactions have to be taken into account the process of predation search. In this paper we study the conditions of the existence and stability properties of the equilibrium solutions in a reaction–diffusion model in which predator mortality is neither a constant nor an unbounded function, but it is increasing with the predator abundance. We show that analytically at a certain… Expand
49 Citations
Cross-diffusion induced Turing instability for a competition model with saturation effect
  • 8
Spatial patterns through Turing instability in a reaction-diffusion predator-prey model
  • L. N. Guin
  • Mathematics, Computer Science
  • Math. Comput. Simul.
  • 2015
  • 17
Additional Food Induced Turing Patterns for a Diffusive Predator–Prey Model
  • 3
Bifurcation analysis of a diffusive ratio-dependent predator–prey model
  • 39
  • PDF
Dynamics analysis of a predator-prey model with herd behavior and nonlocal prey competition
  • 2
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 29 REFERENCES
Global qualitative analysis of a ratio-dependent predator–prey system
  • 459
  • PDF
About deterministic extinction in ratio-dependent predator-prey models
  • 204
  • PDF
Parametric analysis of the ratio-dependent predator–prey model
  • 168
Modeling the Role of Diffusion Coefficients on Turing Instability in a Reaction-diffusion Prey-predator System
  • 19
Coupling in predator-prey dynamics: Ratio-Dependence
  • 1,151
  • PDF
...
1
2
3
...