Title |
Higher order solitary solutions to the meta-model of diffusively coupled Lotka-Volterra systems / |
Authors |
Timofejeva, Inga ; Telksnys, Tadas ; Navickas, Zenonas ; Marcinkevicius, Romas ; Ragulskis, Minvydas |
DOI |
10.1186/s13662-021-03300-4 |
Full Text |
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Is Part of |
Advances in difference equations.. London : Springer Open. 2021, vol. 2021, iss. 1, art. no. 133, p. 1-19.. ISSN 1687-1847 |
Keywords [eng] |
Analytical solution ; COVID model ; Nonlinear differential equation |
Abstract [eng] |
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. |
Published |
London : Springer Open |
Type |
Journal article |
Language |
English |
Publication date |
2021 |
CC license |
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