Qualitative analysis on a diffusive prey-predator model with ratio-dependent functional response

@article{Peng2008QualitativeAO,
  title={Qualitative analysis on a diffusive prey-predator model with ratio-dependent functional response},
  author={R. Peng and M. Wang},
  journal={Science in China Series A: Mathematics},
  year={2008},
  volume={51},
  pages={2043-2058}
}
  • R. Peng, M. Wang
  • Published 2008
  • Mathematics
  • Science in China Series A: Mathematics
In this paper, we investigate a prey-predator model with diffusion and ratio-dependent functional response subject to the homogeneous Neumann boundary condition. Our main focuses are on the global behavior of the reaction-diffusion system and its corresponding steady-state problem. We first apply various Lyapunov functions to discuss the global stability of the unique positive constant steady-state. Then, for the steady-state system, we establish some a priori upper and lower estimates for… Expand
16 Citations
Numerical simulation and qualitative analysis for a predator-prey model with B-D functional response
  • 3
Spatiotemporal Dynamics of a Diffusive Leslie-Gower Predator-Prey Model with Ratio-Dependent Functional Response
  • 14
  • PDF
Electronic Journal of Qualitative Theory of Differential Equations
  • PDF
...
1
2
...

References

SHOWING 1-10 OF 21 REFERENCES
A diffusive predator–prey model in heterogeneous environment
  • 116
  • Highly Influential
  • PDF
Uniqueness and stability of steady states for a predator-prey model in heterogeneous environment
  • 9
  • PDF
Strategy and stationary pattern in a three-species predator–prey model
  • 178
  • PDF
Dynamics of a Predator-Prey Model
  • 148
Global stability of the equilibrium of a diffusive Holling-Tanner prey-predator model
  • 74
Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion
  • 63
  • PDF
Stationary patterns of the Holling-Tanner prey-predator model with diffusion and cross-diffusion
  • 37
...
1
2
3
...