A two or three compartments hyperbolic reaction-diffusion model for the aquatic food chain

DOI10.3934/MBE.2015.12.451zbMath1312.35128OpenAlexW2331629953WikidataQ41381276 ScholiaQ41381276MaRDI QIDQ2339912

Giancarlo Consolo, Elvira Barbera, Giovanna Valenti

Publication date: 14 April 2015

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2015.12.451

zbMATH Keywords

traveling wave solutionsHopf-bifurcationHolling type-III functional responsehyperbolic reaction-diffusion modelaquatic food chain

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) First-order nonlinear hyperbolic equations (35L60) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07)

Related Items (7)

Jordan-Cattaneo waves: analogues of compressible flow ⋮ Dynamic characteristics of a hyperbolic reaction–diffusion predator–prey system with self‐diffusion and nonidentical inertia ⋮ Kinetic Models for Pattern Formation in Animal Aggregations: A Symmetry and Bifurcation Approach ⋮ Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments ⋮ Keep, break and breakout in food chains with two and three species ⋮ Pattern formation and modulation in a hyperbolic vegetation model for semiarid environments ⋮ Lyapunov–Schmidt and Centre Manifold Reduction Methods for Nonlocal PDEs Modelling Animal Aggregations

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