For a given exploitation intensity of size-structured population with asymmetric competition form we prove the existence of a nontrivial stationary state in the population dynamics. Bibliography: 7 titles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. F. Murphy, “A nonlinear growth mechanism in size structured population dynamics,” J. Theor. Biol. 104, No. 4, 493–506 (1983).
A. M. de Roos, “A gentle introduction to phisiologically structured population models” In: Structured Populations Models in Marine, Terrestrial and Freshwater Systems, pp. 119–204, Chapman & Hall, New York (1997).
A. A. Davydov and A. S. Platov, “Optimal stationary solution in forest management model by accounting intra-species competition,” Mosc. Math. J. 12, No. 2, 269–273 (2012).
A. A. Davydov and A. S. Platov, “Optimal exploitation of two size-structured competitive populations” [in Russian] Trudy IMM UrO RAS 19, No. 4, 89–94 (2013).
A. A. Panesh and A. S. Platov, “Optimization of size-structured population with interacting species” [in Russian], Probl. Mat. Anal. 67, 107–112 (2012); English transl.: J. Math. Sci. 188, No. 3, 293–298 (2013).
E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGill-Hill, New York etc. (1955).
L. D. Kudryavtsev, Course of Mathematical Analysis [in Russian], Vyssh. Shkola, Moscow (1981).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Problemy Matematicheskogo Analiza 77, December 2014, pp. 71-75.
Rights and permissions
About this article
Cite this article
Davydov, A.A., Nassar, A.F. Stationary Regime of Exploitation of Size-Structured Population with Hierarchical Competition. J Math Sci 205, 199–204 (2015). https://doi.org/10.1007/s10958-015-2241-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-015-2241-8