Quasilinear Reaction Diffusion Systems with Mass Dissipation
Evangelos Latos, Takashi Suzuki
TL;DR
This paper analyzes quasilinear reaction diffusion systems with mass dissipation, providing estimates under specific conditions on diffusion, reaction growth, and space dimension, advancing understanding of such models.
Contribution
It introduces new estimates for solutions of reaction diffusion systems with mass dissipation, considering nonlinear external forces and parameter restrictions.
Findings
Established solution estimates in various norms
Identified conditions on diffusion coefficients and reaction growth
Enhanced understanding of mass dissipation effects in quasilinear systems
Abstract
We study quasilinear reaction diffusion systems relative to the Shigesada-Kawasaki-Teramoto model. Nonlinearity standing for the external force is provided with mass dissipation. Estimate in several norms of the solution is provided under the restriction of diffusion coefficients, growth rate of reaction, and space dimension.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Mathematical Biology Tumor Growth · Stability and Controllability of Differential Equations