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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.

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Author information

Authors and Affiliations

  1. Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia

    A. A. Nikitin

  2. RUDN University, Moscow, 117198, Russia

    A. A. Nikitin

  3. Department of Computer Science, National Research University Higher School of Economics, Moscow, 125391, Russia

    A. S. Savost’yanov

Authors
  1. A. A. Nikitin
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  2. A. S. Savost’yanov
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Correspondence to A. A. Nikitin.

Additional information

Original Russian Text © A.A. Nikitin, A.S. Savost’yanov, 2017, published in Vestnik Moskovskogo Universiteta, Seriya 15: Vychislitel’naya Matematika i Kibernetika, 2017, No. 3, pp. 18–25.

The results in Sections 2, 4, 6 were obtained by A.A. Nikitin supported by the Russian Science Foundation, project no. 17–11–01168.

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Nikitin, A.A., Savost’yanov, A.S. Nontrivial stationary points of two-species self-structured communities. MoscowUniv.Comput.Math.Cybern. 41, 122–129 (2017). https://doi.org/10.3103/S0278641917030050

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  • DOI: https://doi.org/10.3103/S0278641917030050

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