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

@article{Wang2004StationaryPF,
  title={Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion},
  author={M. Wang},
  journal={Physica D: Nonlinear Phenomena},
  year={2004},
  volume={196},
  pages={172-192}
}
  • M. Wang
  • Published 2004
  • Mathematics
  • Physica D: Nonlinear Phenomena
Abstract We study a reaction diffusion system arising from a three-species prey–predator model with prey-dependent and ratio-dependent functional responses. The main aim of this paper is to study the global existence and bifurcation of non-constant positive steady-states. In particular, we will show that even though the unique positive constant steady-state is stable for the ODE dynamics, non-constant positive steady-states exist for the reaction diffusion system. This demonstrates that… Expand
85 Citations
Stationary Patterns Caused by Cross-Diffusion for a Three-Species Prey-Predator Model
  • M. Wang
  • Computer Science, Mathematics
  • Comput. Math. Appl.
  • 2006
  • 29
Analysis of a prey-predator model with disease in prey
  • J. Li, W. Gao
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 2010
  • 16
Dynamics of prey-predator n-species models with density dependent diffusion
  • Yujuan Chen
  • Computer Science, Mathematics
  • Comput. Math. Appl.
  • 2016
  • 5
Stationary patterns of the stage-structured predator-prey model with diffusion and cross-diffusion
  • B. Li, M. Wang
  • Computer Science, Mathematics
  • Math. Comput. Model.
  • 2011
  • 7
Qualitative Analysis of a Prey-Predator Model with Stage Structure for the Predator
  • 32
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 40 REFERENCES
An interfacial approach to regional segregation of two competing species mediated by a predator
  • 20
A ratio-dependent food chain model and its applications to biological control.
  • 153
  • Highly Influential
  • PDF
Pattern formation in coupled reaction-diffusion systems
  • 12
  • PDF
Non-constant positive steady states of the Sel'kov model ☆
  • 107
...
1
2
3
4
...