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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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
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author Timofejeva, Inga
Telksnys, Tadas
Navickas, Zenonas
Marcinkevicius, Romas
Ragulskis, Minvydas
author_facet Timofejeva, Inga
Telksnys, Tadas
Navickas, Zenonas
Marcinkevicius, Romas
Ragulskis, Minvydas
author_sort Timofejeva, Inga
collection PubMed
description 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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spelling pubmed-79057752021-02-25 Higher order solitary solutions to the meta-model of diffusively coupled Lotka–Volterra systems Timofejeva, Inga Telksnys, Tadas Navickas, Zenonas Marcinkevicius, Romas Ragulskis, Minvydas Adv Differ Equ Research 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. Springer International Publishing 2021-02-25 2021 /pmc/articles/PMC7905775/ /pubmed/33649706 http://dx.doi.org/10.1186/s13662-021-03300-4 Text en © The Author(s) 2021 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Research
Timofejeva, Inga
Telksnys, Tadas
Navickas, Zenonas
Marcinkevicius, Romas
Ragulskis, Minvydas
Higher order solitary solutions to the meta-model of diffusively coupled Lotka–Volterra systems
title Higher order solitary solutions to the meta-model of diffusively coupled Lotka–Volterra systems
title_full Higher order solitary solutions to the meta-model of diffusively coupled Lotka–Volterra systems
title_fullStr Higher order solitary solutions to the meta-model of diffusively coupled Lotka–Volterra systems
title_full_unstemmed Higher order solitary solutions to the meta-model of diffusively coupled Lotka–Volterra systems
title_short Higher order solitary solutions to the meta-model of diffusively coupled Lotka–Volterra systems
title_sort higher order solitary solutions to the meta-model of diffusively coupled lotka–volterra systems
topic Research
url 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
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