Patterns for Competing Populations with Species Specific Nonlocal Coupling
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Publication:2806384
DOI10.1051/mmnp/201510604zbMath1338.35237OpenAlexW2190361139MaRDI QIDQ2806384
Alvin Bayliss, Vladimir A. Volpert
Publication date: 17 May 2016
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: http://www.mmnp-journal.org/10.1051/mmnp/201510604/pdf
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Integro-partial differential equations (35R09) Pattern formations in context of PDEs (35B36)
Related Items (11)
Pattern Formation in a Prey-Predator Model with Nonlocal Interaction Terms ⋮ Biological control with nonlocal interactions ⋮ Prey-predator model with a nonlocal bistable dynamics of prey ⋮ Prey-predator model with a nonlocal consumption of prey ⋮ Preface. Bifurcations and Pattern Formation in Biological Applications ⋮ Prey-predator model with nonlocal and global consumption in the prey dynamics ⋮ Enhanced species coexistence in Lotka-Volterra competition models due to nonlocal interactions ⋮ Complex predator invasion waves in a Holling-Tanner model with nonlocal prey interaction ⋮ Doubly nonlocal reaction-diffusion equations and the emergence of species ⋮ Preface to the Issue Nonlocal Reaction-Diffusion Equations ⋮ Model of pattern formation in marsh ecosystems with nonlocal interactions
Cites Work
- A Nagumo-type model for competing populations with nonlocal coupling
- Mathematical model of evolutionary branching
- Instabilities and spatiotemporal patterns behind predator invasions with nonlocal prey competition
- Stability and pattern formation for competing populations with asymmetric nonlocal coupling
- Pattern formation in a model of competing populations with nonlocal interactions
- Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation
- Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit
- Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources
- Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
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