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nlin.SI2024
Invariant Reduction for Partial Differential Equations. I: Conservation Laws and Systems with Two Independent Variables
Kostya Druzhkov, Alexei Cheviakov
For a system of partial differential equations that has an extended Kovalevskaya form, a reduction procedure is presented that allows one to use a local (point, contact, or higher)…
q-bio.PE2024
Spatiotemporal Behaviour of SIR Models with Cross-Diffusion and Vital Dynamics
Maryam Ahmadpoortorkamani, Alexei Cheviakov
Contemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements. In this work, we extend a rec…