Global asymptotic stability of a diffusive predator-prey model with ratio-dependent functional response
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Publication:902813
DOI10.1016/j.amc.2014.10.116zbMath1328.35253OpenAlexW2085587340WikidataQ115598322 ScholiaQ115598322MaRDI QIDQ902813
Publication date: 4 January 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.116
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
- Unnamed Item
- Stability analysis of diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes
- Global stability in a diffusive Holling-Tanner predator-prey model
- Bifurcation analysis of a modified Holling-Tanner predator-prey model with time delay
- Turing patterns of a strongly coupled predator-prey system with diffusion effects
- Global asymptotic stability of a ratio-dependent predator-prey system with diffusion
- Global stability of the equilibrium of a diffusive Holling-Tanner prey-predator model
- Versal unfoldings of predator-prey systems with ratio-dependent functional response
- Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
- The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model
- Global qualitative analysis of a ratio-dependent predator-prey system
- Theory and applications of partial functional differential equations
- A diffusive predator-prey model in heterogeneous environment
- Persistence in predator-prey systems with ratio-dependent predator influence
- Bifurcations of a predator-prey system of Holling and Leslie types
- GLOBAL STABILITY AND HOPF BIFURCATION IN A DELAYED DIFFUSIVE LESLIE–GOWER PREDATOR–PREY SYSTEM
- Qualitative analysis on a diffusive and ratio-dependent predator-prey model
- The properties of a stochastic model for the predator-prey type of interaction between two species
- Spatial Ecology via Reaction‐Diffusion Equations
- The chemical basis of morphogenesis
- Global Stability for a Class of Predator-Prey Systems
- Heteroclinic Bifurcation in the Michaelis–Menten-Type Ratio-Dependent Predator-Prey System
- SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
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