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

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 $n3$ . Analytical and computational experiments are used to illustrate the obtained results.