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On a hypercycle equation with infinitely many members

A hypercycle equation with infinitely many types of macromolecules is formulated and studied both analytically and numerically. The resulting model is given by an integro-differential equation of the mixed type. Sufficient conditions for the existence, uniqueness, and non-negativity of solutions are formulated and proved. Analytical evidence is provided for the existence of non-uniform (with respect to the second variable) steady states. Finally, numerical simulations strongly indicate the existence of a stable nonlinear wave in the form of the wave train.

preprint2022arXivOpen access
Alexander S. BratusOlga S. ChmerevaIvan YegorovArtem S. Novozhilov
Populations and Evolution
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Open access4 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Alexander S. BratusOlga S. ChmerevaIvan YegorovArtem S. Novozhilov

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