Turing-Hopf bifurcations in a predator-prey model with herd behavior, quadratic mortality and prey-taxis
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Publication:2150214
DOI10.1016/j.physa.2018.01.006zbMath1494.92102OpenAlexW2782437027WikidataQ115567954 ScholiaQ115567954MaRDI QIDQ2150214
Xia Liu, Tongqian Zhang, Tonghua Zhang, Xin-Zhu Meng
Publication date: 27 June 2022
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2018.01.006
Reaction-diffusion equations (35K57) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)
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Cites Work
- Stability of a predator-prey system with prey taxis in a general class of functional responses
- Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion
- Pattern formation and control of spatiotemporal chaos in a reaction diffusion prey-predator system supplying additional food
- Stability analysis of a chemostat model with maintenance energy
- Turing instability for a ratio-dependent predator-prey model with diffusion
- On the dynamics of a predator-prey model with nonconstant death rate and diffusion
- Periodic solution of a prey-predator model with nonlinear state feedback control
- Adaptive dynamics analysis of a predator-prey model with selective disturbance
- Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior
- A reaction-diffusion system modeling predator-prey with prey-taxis
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Patterns formations in a diffusive ratio-dependent predator-prey model of interacting populations
- Emergent impacts of quadratic mortality on pattern formation in a predator-prey system
- Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects
- Impacts of additional food on diffusion induced instabilities in a predator-prey system with mutually interfering predator
- Predator-prey dynamics with square root functional responses
- Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Interactive effects of prey refuge and additional food for predator in a diffusive predator-prey system
- Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point
- Steady states of a predator-prey model with prey-taxis
- Spatial dynamics in a predator-prey model with herd behavior
- Bifurcation analysis of a diffusive predator–prey system with a herd behavior and quadratic mortality
- Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation
- GLOBAL STABILITY OF THE POSITIVE EQUILIBRIUM OF A MATHEMATICAL MODEL FOR UNSTIRRED MEMBRANE REACTORS
- Turing patterns in the Lengyel-Epstein system for the CIMA reaction
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