Application of a generalized fixed point principle to the study of a system of nonlinear integral equations arising in the population dynamics model (Q2094829)

The authors study a system of nonlinear integral equations (system of equilibrium equations). This system is related to the three-parameter closure of the third spatial moment in the Dieckmann-Law model in the case of an \(n\)-species community in an \(N\)-dimensional space. The main aim of the paper is to find sufficient conditions that guarantee the existence of a nontrivial solution of this system. To this end, the system is considered as a single operator equation in some special Banach space. An analysis of the fixed points is carried out.