Nontrivial stationary points of two-species self-structured communities


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Abstract

The two-species model of self-structured stationary biological communities proposed by U. Dieckmann and R. Law is considered. A way of investigating the system of integro-differential equations describing the model equilibrium is developed, nontrivial stationary points are found, and constraints on the model parameter space resulting in similar stationary points are studied. The results are applied to a number of widely known biological scenarios.

About the authors

A. A. Nikitin

Department of Computational Mathematics and Cybernetics; RUDN University

Author for correspondence.
Email: nikitin@cs.msu.su
Russian Federation, Moscow, 119991; Moscow, 117198

A. S. Savost’yanov

Department of Computer Science

Email: nikitin@cs.msu.su
Russian Federation, Moscow, 125391

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