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Higher order solitary solutions to the meta-model of diffusively coupled Lotka-Volterra systems
Inga Timofejeva1, Tadas Telksnys1, Zenonas Navickas1
1Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50-147, Kaunas, LT-51368 Lithuania.
Abstract:
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 . Analytical and computational experiments are used to illustrate the obtained results.
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