Nontrivial stationary points of two-species self-structured communities

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. © 2017, Allerton Press, Inc.

Authors
Nikitin A.A. 1, 2 , Savost’yanov A.S.3
Journal
Moscow University Computational Mathematics and Cybernetics
Publisher
Springer New York LLC
Number of issue
3
Language
English
Pages
122-129
Status
Published
Link
External link
DOI
10.3103/S0278641917030050
Volume
41
Year
2017
Organizations
  • 1 Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russian Federation
  • 2 RUDN University, Moscow, 117198, Russian Federation
  • 3 Department of Computer Science, National Research University Higher School of Economics, Moscow, 125391, Russian Federation
Keywords
integral equations; mathematical biology; mathematical simulation; numerical methods
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/5444/
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