Phase and amplitude instability in delay-diffusion population models

DOI10.1007/BF00276071zbMath0491.92017OpenAlexW2085003153WikidataQ113909178 ScholiaQ113909178MaRDI QIDQ1167678

Juan Lin, Peter B. Kahn

Publication date: 1982

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00276071

zbMATH Keywords

numerical solutionsBurgers type equationphase instabilityamplitude instabilitybifurcating diffusiondelay-diffusion population modelsdiffusion-instabilitylimit cycle solution

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Turbulence (76F99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (11)

Destabilization of periodic solutions arising in delay-diffusion systems in several space dimensions ⋮ On the dynamics of a periodic delay logistic equation with diffusion ⋮ Global existence and pointwise estimates of solutions to generalized Kuramoto-Sivashinsky system in multi-dimensions ⋮ Spatially heterogeneous discrete waves in predator-prey communities over a patchy environment ⋮ Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling ⋮ Stability analysis of synchronous oscillations in a weakly coupled integrodifferential system ⋮ Spatiotemporal patterns and bifurcations of a delayed diffusive predator-prey system with fear effects ⋮ Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions ⋮ Construction of an optimal background profile for the Kuramoto-Sivashinsky equation using semidefinite programming ⋮ Amplitude equations for description of chemical reaction-diffusion systems ⋮ Dissipativity, analyticity and viscous shocks in the (de)stabilized Kuramoto-Sivashinsky equation

Cites Work

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• Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation

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