TRANSITIONS NEAR RESOURCE MAXIMAS IN THE MODEL OF ANIMAL MIGRATION
Abstract
The author undertakes an attempt to find the numerically prospective periodic solutions near two maximas of resource function in a mathematical model of animal migration. The model considering environments that vary in both space and time was applied to the description of evolution of migration [3]. In particular, the differential equation of the second order with cubic nonlinearity, negative viscosity and periodic influence was investigated. Decisions which are not, strictly speaking, periodic are found as a result, but display periodic behaviour on some circumscribed interspace. Some dependence between model parameters was revealed as well. The received results are the establishment for specification of some hypotheses about the behaviour of decisions in the model of animal migration.
About the Author
V. V. Machulis
Tyumen State University
Russian Federation
Vladislav V. Machulis – Associate Professor at the Department of Mathematical Modeling, Institute of Mathematics and Computer Science
Russian Federation
Vladislav V. Machulis – Associate Professor at the Department of Mathematical Modeling, Institute of Mathematics and Computer Science
References
1. Спротт Дж. К. Элегантный хаос: алгебраически простые хаотические потоки. М.; Ижевск: Ижевский институт компьютерных исследований, 2012. 328 с.
2. Cantrell S., Cosner C. and Lou Y., Evolution of dispersal in heterogeneous landscapes, in Spatial Ecology, Chapman and Hall, 2009. Р. 213 – 229.
3. Regula T. C., Shaw A. K. Optimal migratory behavior in spatially-explicit seasonal environments, Discrete and continuous dynamical system, Series B. 2014. Vol. 19. № 10. Р. 3359 – 3378.
Review
For citations:
Machulis V.V. TRANSITIONS NEAR RESOURCE MAXIMAS IN THE MODEL OF ANIMAL MIGRATION. SibScript. 2015;(2-5):47-49. (In Russ.)
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