Solitary solutions to a metastasis model represented by two systems of coupled Riccati equations

Autor: I. Timofejeva, T. Telksnys, Z. Navickas, R. Marcinkevicius, R. Mickevicius, M. Ragulskis
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of King Saud University: Science, Vol 35, Iss 5, Pp 102682- (2023)
Druh dokumentu: article
ISSN: 1018-3647
DOI: 10.1016/j.jksus.2023.102682
Popis: Solitary solutions to a two-tumor metastasis model represented by a system of multiplicatively coupled Riccati equations are considered in this paper. The interaction between tumors is modelled by a one-sided diffusive coupling when one coupled Riccati system influences the other, but not the opposite. Necessary and sufficient conditions for the existence of solitary solutions to the composite system of Riccati equations are derived in the explicit form. Computational experiments are used to demonstrate the transitions from one steady-state to another via non-monotonous trajectories.
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