Turing pattern formation in a predator-prey system with cross diffusion
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Publication:1634106
DOI10.1016/j.apm.2014.04.015zbMath1428.92090OpenAlexW1969943429WikidataQ115587665 ScholiaQ115587665MaRDI QIDQ1634106
Zhi Ling, Lai Zhang, Zhigui Lin
Publication date: 17 December 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2014.04.015
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Cites Work
- Unnamed Item
- Turing instability for a ratio-dependent predator-prey model with diffusion
- Stability and instability analysis for a ratio-dependent predator-prey system with diffusion effect
- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Permanence and periodic solutions for a diffusive ratio-dependent predator-prey system
- Versal unfoldings of predator-prey systems with ratio-dependent functional response
- Large amplitude stationary solutions to a chemotaxis system
- Stability of steady-state solutions to a prey--predator system with cross-diffusion.
- Multiple coexistence states for a prey-predator system with cross-diffusion.
- Diffusion, self-diffusion and cross-diffusion
- Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
- Predator cannibalism can give rise to regular spatial pattern in a predator-prey system
- Stationary patterns of the Holling-Tanner prey-predator model with diffusion and cross-diffu\-sion
- On a predator-prey system with cross diffusion representing the tendency of predators in the presence of prey species
- STATIONARY PATTERNS OF A RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH CROSS-DIFFUSION
- Spatiotemporal Complexity of Plankton and Fish Dynamics
- The chemical basis of morphogenesis
- Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion
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