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

Advances in Difference Equations

article

Timofejeva, Inga¹  Telksnys, Tadas¹  Navickas, Zenonas¹  Marcinkevicius, Romas²  Ragulskis, Minvydas¹ 

[1] Center for Nonlinear Systems, Kaunas University of Technology;Department of Software Engineering, Kaunas University of Technology

关键词: Nonlinear differential equation;    Analytical solution;    COVID model;   

DOI  :  10.1186/s13662-021-03300-4

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY