Qualitative analysis of predator-prey models with Beddington-DeAngelis functional response and diffusion
@article{Chen2005QualitativeAO, title={Qualitative analysis of predator-prey models with Beddington-DeAngelis functional response and diffusion}, author={Wenyan Chen and M. Wang}, journal={Math. Comput. Model.}, year={2005}, volume={42}, pages={31-44} }
In this paper, a predator-prey system with Beddington-De Angelis functional response and diffusion is considered. First, we study qualitative properties of solutions to this reaction-diffusion system. Then, by using topological degree, we establish the existence of the nonconstant positive steady-states.
Topics from this paper
82 Citations
Steady state in a cross-diffusion predator–prey model with the Beddington–DeAngelis functional response
- Mathematics
- 2019
- 6
Turing Instability and Bifurcation in a Diffusion Predator-Prey Model with Beddington-DeAngelis Functional Response
- Mathematics, Computer Science
- Int. J. Bifurc. Chaos
- 2018
- 2
Diffusive predator-prey models with stage structure on prey and beddington-deangelis functional responses
- Mathematics
- 2017
- 1
Analysis of diffusive two-competing-prey and one-predator systems with Beddington–Deangelis functional response
- Mathematics
- 2009
- 22
Analysis of a Delayed Predator-Prey Reaction-Diffusion System with Beddington-DeAngelis Functional Response and Two Stage Structure
- Mathematics
- 2011
Analysis on Bifurcation for a Predator-Prey Model with Beddington-DeAngelis Functional Response and Non-Selective Harvesting
- Mathematics
- 2016
- 5
Non-Constant Positive Steady States for a Predator-Prey Cross-Diffusion Model with Beddington-DeAngelis Functional Response
- Mathematics
- 2011
- 6
- PDF
Qualitative analysis of a strongly coupled predator–prey system with modified Holling–Tanner functional response
- Mathematics
- 2018
- 1
Qualitative analysis for a ratio-dependent predator-prey model with disease and diffusion
- Mathematics, Computer Science
- Appl. Math. Comput.
- 2011
- 8
References
SHOWING 1-10 OF 35 REFERENCES
Global analysis of the predator–prey system with Beddington–DeAngelis functional response
- Mathematics
- 2003
- 152
On the Dynamics of Predator–Prey Models with the Beddington–DeAngelis Functional Response☆
- Mathematics
- 2001
- 249
Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
- Mathematics
- 2004
- 92
An interfacial approach to regional segregation of two competing species mediated by a predator
- Biology, Physics
- 1991
- 20
Singular perturbation approach to a 3-component reaction-diffusion system arising in population dynamics
- Mathematics
- 1998
- 55