文章基本信息

标题：Higher order solitary solutions to the meta-model of diffusively coupled Lotka–Volterra systems
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作者：Inga Timofejeva ; Tadas Telksnys ; Zenonas Navickas 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03300-4
出版社：Hindawi Publishing Corporation
摘要：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 $n>3$ . Analytical and computational experiments are used to illustrate the obtained results.
关键词：35C08 ; 34A25 ; 34D06