Higher order solitary solutions to the meta-model of diffusively coupled Lotka–Volterra systems

A meta-model of diffusively coupled Lotka–Volterra systems used to model various biomedical phenomena is considered in this paper. Necessary and sufficient conditions for the existence of nth order solitary solutions are derived via a modified inverse balancing technique. It is shown that as the hig...

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Detalles Bibliográficos
Autores principales: Timofejeva, Inga, Telksnys, Tadas, Navickas, Zenonas, Marcinkevicius, Romas, Ragulskis, Minvydas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7905775/
https://www.ncbi.nlm.nih.gov/pubmed/33649706
http://dx.doi.org/10.1186/s13662-021-03300-4
Descripción
Sumario:A meta-model of diffusively coupled Lotka–Volterra systems used to model various biomedical phenomena is considered in this paper. Necessary and sufficient conditions for the existence of nth order solitary solutions are derived via a modified inverse balancing technique. It is shown that as the highest possible solitary solution order n is increased, the number of nonzero solution parameter values remains constant for solitary solutions of order [Formula: see text] . Analytical and computational experiments are used to illustrate the obtained results.

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