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

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 n th 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.