Turing Patterns of a Lotka–Volterra Competitive System with Nonlocal Delay
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Publication:3176332
DOI10.1142/S0218127418300215zbMath1392.35318WikidataQ129559915 ScholiaQ129559915MaRDI QIDQ3176332
Bang-Sheng Han, Zhi-Cheng Wang
Publication date: 20 July 2018
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
bifurcationnumerical simulationnonlocal delayTuring patternLotka-Volterra competitive systemmultiple scale analysis
Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)
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Cites Work
- Unnamed Item
- Traveling wave solutions in a nonlocal reaction-diffusion population model
- Dynamics of a diffusive predator-prey system with a nonlinear growth rate for the predator
- Traveling waves for the nonlocal diffusive single species model with Allee effect
- Bistable travelling waves for nonlocal reaction diffusion equations
- Monotone traveling waves for delayed Lotka-Volterra competition systems
- Analysis of spatiotemporal patterns in a single species reaction-diffusion model with spatiotemporal delay
- Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation
- Spatiotemporal pattern formation and multiple bifurcations in a diffusive bimolecular model
- Recent developments on wave propagation in 2-species competition systems
- Traveling wave fronts for generalized Fisher equations with spatio-temporal delays
- Hopf bifurcation in a diffusive Lotka-Volterra type system with nonlocal delay effect
- Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior
- Multiple bifurcations in a delayed predator-prey diffusion system with a functional response
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Direction of Hopf bifurcation in a delayed Lotka-Volterra competition diffusion system
- Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain
- Spatiotemporal dynamics of reaction-diffusion models of interacting populations
- Patterns in a nonlocal time-delayed reaction-diffusion equation
- A predator-prey reaction-diffusion system with nonlocal effects
- Spatiotemporal patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme
- On a predator-prey reaction-diffusion model with nonlocal effects
- Stability and bifurcation analysis of a reaction-diffusion equation with spatio-temporal delay
- Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition
- Stability and bifurcation on predator-prey systems with nonlocal prey competition
- Bistable wavefronts in a diffusive and competitive Lotka-Volterra type system with nonlocal delays
- On the nonlocal Fisher–KPP equation: steady states, spreading speed and global bounds
- Monotone wavefronts of the nonlocal Fisher–KPP equation
- Spatial, temporal and spatiotemporal patterns of diffusive predator–prey models with mutual interference
- The non-local Fisher–KPP equation: travelling waves and steady states
- Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling
- Turing Instability in Competition Models with Delay I: Linear Theory
- Convergence and Travelling Fronts in Functional Differential Equations with Nonlocal Terms: A Competition Model
- Spatio-temporal patterns in a diffusive model with non-local delay effect
- Normal forms and Hopf bifurcation for partial differential equations with delays
- Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
- Bifurcation Phenomena in a Lotka–Volterra Model with Cross-Diffusion and Delay Effect
- Traveling Wavefronts in a Delayed Food‐limited Population Model
- Existence of travelling wave solutions in delayed reaction–diffusion systems with applications to diffusion–competition systems
- Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait
- Travelling front solutions of a nonlocal Fisher equation
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